Searches for Continuous Gravitational Waves from Supernova Remnants in the first part of the LIGO-Virgo-KAGRA Fourth Observing run
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
We present results from directed searches for continuous gravitational waves from a sample of 15 nearby supernova remnants, likely hosting young neutron star candidates, using data from the first eight months of the fourth observing run (O4) of the LIGO-Virgo-KAGRA Collaboration. The analysis employs five pipelines: four semi-coherent methods -- the Band-Sampled-Data directed pipeline, Weave and two Viterbi pipelines (single- and dual-harmonic) -- and PyStoch, a cross-correlation-based pipeline. These searches cover wide frequency bands and do not assume prior knowledge of the targets' ephemerides. No evidence of a signal is found from any of the 15 sources. We set 95\% confidence-level upper limits on the intrinsic strain amplitude, with the most stringent constraints reaching $\sim 4 \times 10^{-26}$ near 300 Hz for the nearby source G266.2$-$1.2 (Vela Jr.). We also derive limits on neutron star ellipticity and $r$-mode amplitudes for the same source, with the best constraints reaching $\lesssim 10^{-7}$ and $\lesssim 10^{-5}$, respectively, at frequencies above 400 Hz. These results represent the most sensitive wide-band directed searches for continuous gravitational waves from supernova remnants to date.
GWTC-4.0: Tests of General Relativity. I. Overview and General Tests
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
The worldwide LIGO-Virgo-KAGRA network of gravitational-wave (GW) detectors continues to increase in sensitivity, thus increasing the quantity and quality of the detected GW signals from compact binary coalescences. These signals allow us to perform ever-more sensitive tests of general relativity (GR) in the dynamical and strong-field regime of gravity. This paper is the first of three, where we present the results of a suite of tests of GR using the binary signals included in the fourth GW Transient Catalog (GWTC-4.0), i.e., up to and including the first part of the fourth observing run of the detectors (O4a). We restrict our analysis to the 91 confident signals, henceforth called events, that were measured by at least two detectors, and have false alarm rates $\le 10^{-3} \mathrm{yr}^{-1}$. These include 42 events from O4a. This first paper presents an overview of the methods, selection of events and GR tests, and serves as a guidemap for all three papers. Here we focus on the four general tests of consistency, where we find no evidence for deviations from our models. Specifically, for all the events considered, we find consistency of the residuals with noise. The final mass and final spin as inferred from the low- and high-frequency parts of the waveform are consistent with each other. We also find no evidence for deviations from the GR predictions for the amplitudes of subdominant GW multipole moments, or for non-GR modes of polarization. We thus find that GR, without new physics beyond it, is still consistent with these GW events. The results of the two additional papers in this trio also find overall consistency with vacuum GR, with more than 90% of the events being consistent with GR at the 90% credible level. While one of the ringdown analyses finds the GR value in the tails for its combined results, this may be due in part to catalog variance.
All-sky search for long-duration gravitational-wave transients in the first part of the fourth LIGO-Virgo-KAGRA Observing run
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
We present an all-sky search for long-duration gravitational waves (GWs) from the first part of the LIGO-Virgo-KAGRA fourth observing run (O4), called O4a and comprising data taken between 24 May 2023 and 16 January 2024. The GW signals targeted by this search are the so-called "long-duration" (> 1 s) transients expected from a variety of astrophysical processes, including non-axisymmetric deformations in magnetars or eccentric binary coalescences. We make minimal assumptions on the emitted GW waveforms in terms of morphologies and durations. Overall, our search targets signals with durations ~1-1000 s and frequency content in the range 16-2048 Hz. In the absence of significant detections, we report the sensitivity limits of our search in terms of root-sum-square signal amplitude (hrss) of reference waveforms. These limits improve upon the results from the third LIGO-Virgo-KAGRA observing run (O3) by about 30% on average. Moreover, this analysis demonstrates substantial progress in our ability to search for long-duration GW signals owing to enhancements in pipeline detection efficiencies. As detector sensitivities continue to advance and observational runs grow longer, unmodeled long-duration searches will increasingly be able to explore a range of compelling astrophysical scenarios involving neutron stars and black holes.
GWTC-4.0: Constraints on the Cosmic Expansion Rate and Modified Gravitational-wave Propagation
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
We analyze data from 142 of the 218 gravitational-wave (GW) sources in the fourth LIGO-Virgo-KAGRA Collaboration (LVK) Gravitational-Wave Transient Catalog (GWTC-4.0) to estimate the Hubble constant $H_0$ jointly with the population properties of merging compact binaries. We measure the luminosity distance and redshifted masses of GW sources directly; in contrast, we infer GW source redshifts statistically through i) location of features in the compact object mass spectrum and merger rate evolution, and ii) identifying potential host galaxies in the GW localization volume. Probing the relationship between source luminosity distances and redshifts obtained in this way yields constraints on cosmological parameters. We also constrain parameterized deviations from general relativity which affect GW propagation, specifically those modifying the dependence of a GW signal on the source luminosity distance. Assuming our fiducial model for the source-frame mass distribution and using GW candidates detected up to the end of the fourth observing run (O4a), together with the GLADE+ all-sky galaxy catalog, we estimate $H_0 = 76.6^{+13.0}_{-9.5} (76.6^{+25.2}_{-14.0})$ km s$^{-1}$ Mpc$^{-1}$. This value is reported as a median with 68.3% (90%) symmetric credible interval, and includes combination with the $H_0$ measurement from GW170817 and its electromagnetic counterpart. Using a parametrization of modified GW propagation in terms of the magnitude parameter $Ξ_0$, we estimate $Ξ_0 = 1.2^{+0.8}_{-0.4} (1.2^{+2.4}_{-0.5})$, where $Ξ_0 = 1$ recovers the behavior of general relativity.
GWTC-4.0: Updating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
Version 4.0 of the Gravitational-Wave Transient Catalog (GWTC-4.0) adds new candidates detected by the LIGO, Virgo, and KAGRA observatories through the first part of the fourth observing run (O4a: 2023 May 24 15:00:00 to 2024 January 16 16:00:00 UTC) and a preceding engineering run. In this new data, we find 128 new compact binary coalescence candidates that are identified by at least one of our search algorithms with a probability of astrophysical origin $p_{\rm astro} \geq 0.5$ and that are not vetoed during event validation. We also provide detailed source property measurements for 86 of these that have a false alarm rate $< 1 \rm{yr}^{-1}$. Based on the inferred component masses, these new candidates are consistent with signals from binary black holes and neutron star-black hole binaries (GW230518_125908 and GW230529_181500). Median inferred component masses of binary black holes in the catalog now range from $5.79\,M_\odot$ (GW230627_015337) to $137\,M_\odot$ (GW231123_135430), while GW231123_135430 was probably produced by the most massive binary observed in the catalog. For the first time we have discovered binary black hole signals with network signal-to-noise ratio exceeding 30, GW230814_230901 and GW231226_01520, enabling high-fidelity studies of the waveforms and astrophysical properties of these systems. Combined with the 90 candidates included in GWTC-3.0, the catalog now contains 218 candidates with $p_{\rm astro} \geq 0.5$ and not otherwise vetoed, doubling the size of the catalog and further opening our view of the gravitational-wave Universe.
“Not my God”–Challenging the Usage of ‘Te Atua’ as Māori Terminology for the God of Christianity
Eugene Fuimaono
The usage of the term ‘Te Atua’ for God within Māori contexts has been largely accepted and unchallenged, yet its appropriateness is questioned due to its colonial origins and misalignment with Māori epistemologies. This paper explores the disqualification of ‘Te Atua’ as a Māori term for God through historical analysis and Māori scholarly perspectives. By applying a Kaupapa Māori research rubric which aligns to four statements—1. The source is related to being Māori; 2. Is connected to Māori philosophy and principles; 3. Takes for granted the validity and legitimacy of Māori, the importance of Māori language and culture; and 4. Is concerned with the struggle for autonomy over our own cultural well-being—this paper argues that the term ‘Te Atua’ fails to meet these criteria. I propose that in accordance with Māori epistemologies, we can discern alternative terms for the blanket term ‘God’ that resonates with whakaaro Māori. This paper is a response to the recent Māori language translations of scripture, advocating for the re-indigenizing of the reo Māori bible to make it relevant to an increasingly non-Christian Māori audience and calls for a reimagining of Christianity that is authentically Māori.
Religions. Mythology. Rationalism
Realisation of Existential Processes in Ekegusii Declarative Clauses
Jane Kemunto Nyamao, Peter Maina Wakarindi
This study examines the intricate relationship between transitivity and existential thought within the context of Ekegusii, an indigenous language spoken by the Abagusii people of Western Kenya. The research sought to uncover how Ekegusii speakers conceptualize and express the existence and occurrence of entities using the language. Grounding itself on the experiential metafunction of Halliday and Mathiessen's (2014) Functional Grammar theory, the study specifically sought to find out how existential processes are realized in the various forms of Ekegusii declarative clauses, looking at the forms of the clauses in terms of polarity and voice. Methodologically, the study used qualitative analysis. The data, Ekegusii declarative clauses with verbs carrying existential processes, was drawn from Ekegusii Bible, Ekegusii storybooks, and the researcher’s intuition as a native speaker of Ekegusii. The analysis involved an examination of the patterns of the transitivity structure in the selected clauses by looking at the various components of the clauses: the verbs realizing the existential Process, the Participants involved and the Circumstances, thereby allowing for a focused exploration of how existential thought is linguistically represented in Ekegusii. Besides implications for language teaching, translation, and cultural preservation efforts, the findings from this research will contribute to a deeper understanding of how indigenous languages and Ekegusii in particular, can serve to provide unique insights into human thought and perception.
Language. Linguistic theory. Comparative grammar, Computational linguistics. Natural language processing
Modern forms of a prophecy: From written word to audiovisual Internet product
Andrey G. Fomin, Nadezhda S. Karacheva
Prophecies contain a unique cultural and linguistic code, which plays an essential role in organizing the linguistic worldview and shapes national consciousness. The article aims to specify the linguistic features of prophecies and identify their modern forms. To achieve this goal, biblical texts were compared with modern prophecies within and outside religion. Due to the phenomenon's complexity, the material selection criteria were flexible. The Canonic Bible was the initial source of the material (4 books of Major Prophets and 12 books of Minor Prophets). The modern prophecies were obtained from 2 collections of written prophecies (157 texts) as well as 10 audio recordings of prophetic sessions (4 hours) and 40 videos (10 hours). We explored prophetic texts and changes in their forms using semiotic modeling. The interdisciplinary nature of the research necessitated the use of the descriptive method, as well as methods of contextual, interpretative, and content analysis to identify the meaning of the linguistic units by highlighting mechanisms of the construction of meaning. The chosen methods helped to identify the meanings of linguistic units, highlighting the mechanisms of constructing meaning, as well as the ethnocultural language code of prophecies. The method of interpretative analysis made it possible to determine the patterns of expression of meaning associated with the system of ideal images and the rules for their transformation into meanings. The results of the study demonstrated a clear simplification of the initial characteristics during the transition of biblical prophecies from written form to an audiovisual Internet product. In addition, the results revealed an obvious displacement of the vector of decoding and interpretation of ethnoculturally-conditioned components. Further research will allow us to build a linguosemiotic model of prophetic discourse to trace ethnocultural and linguistic changes in the form, content, and entire genre of prophecy, which will open up new prospects for the study and interpretation of the phenomenon itself.
Metaphysics of cosmological models
Vasile Chira
This article aims to address the metaphysical dimension of cosmological models, be they mythological, philosophical, religious or modern scientific, using multidisciplinary and transdisciplinary methodology. Such an approach is a novelty, both in the theological field and in the philosophical field and secular sciences, which studies the origin of man and the universe.
Contribution: The originality of this article consists in introducing the concept of transcendental cosmology, which, along with spiritual cosmology can be a serious theological and philosophical reply to the Bing Bang theory.
The Bible, Practical Theology
Sandnes, Karl Olav, Paul Perceived: An Interactionist Perspective on Paul and the Law
Ludvig Nyman
Search for Eccentric Black Hole Coalescences during the Third Observing Run of LIGO and Virgo
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
Despite the growing number of confident binary black hole coalescences observed through gravitational waves so far, the astrophysical origin of these binaries remains uncertain. Orbital eccentricity is one of the clearest tracers of binary formation channels. Identifying binary eccentricity, however, remains challenging due to the limited availability of gravitational waveforms that include effects of eccentricity. Here, we present observational results for a waveform-independent search sensitive to eccentric black hole coalescences, covering the third observing run (O3) of the LIGO and Virgo detectors. We identified no new high-significance candidates beyond those that were already identified with searches focusing on quasi-circular binaries. We determine the sensitivity of our search to high-mass (total mass $M>70$ $M_\odot$) binaries covering eccentricities up to 0.3 at 15 Hz orbital frequency, and use this to compare model predictions to search results. Assuming all detections are indeed quasi-circular, for our fiducial population model, we place an upper limit for the merger rate density of high-mass binaries with eccentricities $0 < e \leq 0.3$ at $0.33$ Gpc$^{-3}$ yr$^{-1}$ at 90\% confidence level.
Petruspredikan: En negligerad 100-talstext
John-Christian Eurell
N/A
From small country churches to explosion into megachurches: A modern Pentecostal cultural fit for the Assemblies of God in South Africa
Kelebogile T. Resane
This article examines the evolutionary journey of Assemblies of God in South Africa from small country churches into explosion of megachurches. This Pentecostal denomination is categorised as a classical Pentecostal church that evolved as a missionary church from the early twentieth century. It was officially registered in South Africa in 1917. Historically, it developed as small fellowships in small structures; however today, it has exploded into a huge denomination spread in some geographical locations as local megachurches. Through literature reviews, the objectives are to reveal the rationale behind this explosion, which are the church organisation, emphasis on education, entrepreneurship spirit, apostolic heritage and local church autonomy based on the group system. Results of this explosion are accounted to vigorous evangelism, and Bible-oriented religion such as kerygma, diakonia, koinonia and rhetorics to be culturally and contextually relevant. Assemblies of God embrace African gregarious worldviews and apostolic practices of ecclesial life. This apostolic outlook invokes the discussions on leadership principles. It also influences the church polity exercised by many African megachurches. Shifts from orthodox Pentecostal doctrines such as glossolalia, divine healing and eschatological expectations are examined. The conclusion is while the neo-Pentecostal movement replaces these doctrines by prosperity gospel, personal prophecies and motivational rhetorics instead of sound biblical hermeneutics, Assemblies of God in South Africa remain rooted in their evangelical and classical Pentecostal tradition.
Intradisciplinary and/or interdisciplinary implications: This research study is a historical reflection based on Church History, Missiology, Pentecostal Studies, and invokes Practical Theology by referring to strong leadership principles, which leads to church stability. It further calls for Pentecostals to carry out self-examination regarding their fundamental doctrines that are invaded and influenced retrogressively by the neo-Pentecostal movement.
Search for gravitational-wave transients associated with magnetar bursts in Advanced LIGO and Advanced Virgo data from the third observing run
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
Gravitational waves are expected to be produced from neutron star oscillations associated with magnetar giant flares and short bursts. We present the results of a search for short-duration (milliseconds to seconds) and long-duration ($\sim$ 100 s) transient gravitational waves from 13 magnetar short bursts observed during Advanced LIGO, Advanced Virgo and KAGRA's third observation run. These 13 bursts come from two magnetars, SGR 1935$+$2154 and Swift J1818.0$-$1607. We also include three other electromagnetic burst events detected by Fermi GBM which were identified as likely coming from one or more magnetars, but they have no association with a known magnetar. No magnetar giant flares were detected during the analysis period. We find no evidence of gravitational waves associated with any of these 16 bursts. We place upper bounds on the root-sum-square of the integrated gravitational-wave strain that reach $2.2 \times 10^{-23}$ $/\sqrt{\text{Hz}}$ at 100 Hz for the short-duration search and $8.7 \times 10^{-23}$ $/\sqrt{\text{Hz}}$ at $450$ Hz for the long-duration search, given a detection efficiency of 50%. For a ringdown signal at 1590 Hz targeted by the short-duration search the limit is set to $1.8 \times 10^{-22}$ $/\sqrt{\text{Hz}}$. Using the estimated distance to each magnetar, we derive upper bounds on the emitted gravitational-wave energy of $3.2 \times 10^{43}$ erg ($7.3 \times 10^{43}$ erg) for SGR 1935$+$2154 and $8.2 \times 10^{42}$ erg ($2.8 \times 10^{43}$ erg) for Swift J1818.0$-$1607, for the short-duration (long-duration) search. Assuming isotropic emission of electromagnetic radiation of the burst fluences, we constrain the ratio of gravitational-wave energy to electromagnetic energy for bursts from SGR 1935$+$2154 with available fluence information. The lowest of these ratios is $3 \times 10^3$.
Pentecostalism and migration: A contextual study of the migrant Ghanaian Classical Pentecostal churches in South Africa
Peter White
Pentecostal phenomenon from history has always moved with migration. Reading Acts 1:8, Jesus linked the baptism of the Holy Spirit with the migration of his disciples and the gospel from Jerusalem to Judea and Samaria and to the end of the earth. Migration has become a worldwide, multi-directional phenomenon which is reshaping the Christian landscape. In this light, the article discussed Pentecostalism and migration by using two Ghanaian Classical Pentecostal churches in South Africa as a case study. The article looked at their history, leadership development, transfer of missionaries from Ghana and its implications, their concept of contextualisation as well as some of their impact in South Africa. The article submits that it is time for both churches to start thinking of decolonising their foreign mission churches by helping them have autonomous status.
Contribution: The article contributes to the on-going body of knowledge and research on migration with special emphasis on African classical Pentecostalism and migration. The study used Ghanaian Classical Pentecostal Churches in South Africa as a case study.
The Bible, Practical Theology
A critical assessment of proposed outbreaks of plague and other epidemic diseases in Ancient Egypt
Michael E. Habicht, Patrick E. Eppenberger, Frank Rühli
The current coronavirus disease 2019 (COVID-19) pandemic has reminded us of past epidemics. Pharaonic Egypt has often been associated with epidemics and disasters through the 10 plagues in the Bible. The aim of this study was to examine which epidemics and serious diseases can be effectively proven for Ancient Egypt through mummies and historical source texts. The biblical plagues cannot be proven because there is no agreement on the dating of the Exodus, or the Exodus is a conglomeration of memories of different events. Other diseases such as malaria and schistosomiasis have been proven for Ancient Egypt, while polio and smallpox are still uncertain. There are indications of a bubonic disease from the time of the middle 18th Dynasty, but its exact nature cannot be determined from source texts or mummies, as they are too vague.
Infectious and parasitic diseases
Constraints from LIGO O3 data on gravitational-wave emission due to r-modes in the glitching pulsar PSR J0537-6910
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
We present a search for continuous gravitational-wave emission due to r-modes in the pulsar PSR J0537-6910 using data from the LIGO-Virgo Collaboration observing run O3. PSR J0537-6910 is a young energetic X-ray pulsar and is the most frequent glitcher known. The inter-glitch braking index of the pulsar suggests that gravitational-wave emission due to r-mode oscillations may play an important role in the spin evolution of this pulsar. Theoretical models confirm this possibility and predict emission at a level that can be probed by ground-based detectors. In order to explore this scenario, we search for r-mode emission in the epochs between glitches by using a contemporaneous timing ephemeris obtained from NICER data. We do not detect any signals in the theoretically expected band of 86-97 Hz, and report upper limits on the amplitude of the gravitational waves. Our results improve on previous amplitude upper limits from r-modes in J0537-6910 by a factor of up to 3 and place stringent constraints on theoretical models for r-mode driven spin-down in PSR J0537-6910, especially for higher frequencies at which our results reach below the spin-down limit defined by energy conservation.
Upper Limits on the Isotropic Gravitational-Wave Background from Advanced LIGO's and Advanced Virgo's Third Observing Run
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
We report results of a search for an isotropic gravitational-wave background (GWB) using data from Advanced LIGO's and Advanced Virgo's third observing run (O3) combined with upper limits from the earlier O1 and O2 runs. Unlike in previous observing runs in the advanced detector era, we include Virgo in the search for the GWB. The results are consistent with uncorrelated noise, and therefore we place upper limits on the strength of the GWB. We find that the dimensionless energy density $Ω_{\rm GW}\leq 5.8\times 10^{-9}$ at the 95% credible level for a flat (frequency-independent) GWB, using a prior which is uniform in the log of the strength of the GWB, with 99% of the sensitivity coming from the band 20-76.6 Hz; $\leq 3.4 \times 10^{-9}$ at 25 Hz for a power-law GWB with a spectral index of 2/3 (consistent with expectations for compact binary coalescences), in the band 20-90.6 Hz; and $\leq 3.9 \times 10^{-10}$ at 25 Hz for a spectral index of 3, in the band 20-291.6 Hz. These upper limits improve over our previous results by a factor of 6.0 for a flat GWB. We also search for a GWB arising from scalar and vector modes, which are predicted by alternative theories of gravity; we place upper limits on the strength of GWBs with these polarizations. We demonstrate that there is no evidence of correlated noise of magnetic origin by performing a Bayesian analysis that allows for the presence of both a GWB and an effective magnetic background arising from geophysical Schumann resonances. We compare our upper limits to a fiducial model for the GWB from the merger of compact binaries. Finally, we combine our results with observations of individual mergers andshow that, at design sensitivity, this joint approach may yield stronger constraints on the merger rate of binary black holes at $z \lesssim 2$ than can be achieved with individually resolved mergers alone. [abridged]
Search for continuous gravitational waves from 20 accreting millisecond X-ray pulsars in O3 LIGO data
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
Results are presented of searches for continuous gravitational waves from 20 accreting millisecond X-ray pulsars with accurately measured spin frequencies and orbital parameters, using data from the third observing run of the Advanced LIGO and Advanced Virgo detectors. The search algorithm uses a hidden Markov model, where the transition probabilities allow the frequency to wander according to an unbiased random walk, while the $\mathcal{J}$-statistic maximum-likelihood matched filter tracks the binary orbital phase. Three narrow sub-bands are searched for each target, centered on harmonics of the measured spin frequency. The search yields 16 candidates, consistent with a false alarm probability of 30% per sub-band and target searched. These candidates, along with one candidate from an additional target-of-opportunity search done for SAX J1808.4$-$3658, which was in outburst during one month of the observing run, cannot be confidently associated with a known noise source. Additional follow-up does not provide convincing evidence that any are a true astrophysical signal. When all candidates are assumed non-astrophysical, upper limits are set on the maximum wave strain detectable at 95% confidence, $h_0^{95\%}$. The strictest constraint is $h_0^{95\%} = 4.7\times 10^{-26}$ from IGR J17062$-$6143. Constraints on the detectable wave strain from each target lead to constraints on neutron star ellipticity and $r$-mode amplitude, the strictest of which are $ε^{95\%} = 3.1\times 10^{-7}$ and $α^{95\%} = 1.8\times 10^{-5}$ respectively. This analysis is the most comprehensive and sensitive search of continuous gravitational waves from accreting millisecond X-ray pulsars to date.
Constraints on cosmic strings using data from the third Advanced LIGO-Virgo observing run
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration
et al.
We search for gravitational-wave signals produced by cosmic strings in the Advanced LIGO and Virgo full O3 data set. Search results are presented for gravitational waves produced by cosmic string loop features such as cusps, kinks and, for the first time, kink-kink collisions.cA template-based search for short-duration transient signals does not yield a detection. We also use the stochastic gravitational-wave background energy density upper limits derived from the O3 data to constrain the cosmic string tension, $Gμ$, as a function of the number of kinks, or the number of cusps, for two cosmic string loop distribution models.cAdditionally, we develop and test a third model which interpolates between these two models. Our results improve upon the previous LIGO-Virgo constraints on $Gμ$ by one to two orders of magnitude depending on the model which is tested. In particular, for one loop distribution model, we set the most competitive constraints to date, $Gμ\lesssim 4\times 10^{-15}$.