Thu·May 22, 2025Thursday·May 22, 2025

1. 01*

   Radiative neutrino mass models from non-invertible selection rules

   Tatsuo Kobayashi🇯🇵 · Hiroshi Okada🇨🇳 · Hajime Otsuka🇯🇵

   We apply non-invertible selection rules coming from a fusion algebra to radiative neutrino mass models where fields are labeled by the elements in the algebra. Since non-invertible selection rules only hold at tree level, radiative corrections naturally explain the origin of tiny neutrino masses. Furthermore, a remnant symmetry of the fusion algebra protects the stability of dark matter, which is conventionally imposed in radiative neutrino models. We also find that interesting neutrino mass textures are realized by assigning fields to family-dependent elements in the algebra.

   hep-phhep-thJHEP(2025)·33 citations
2. 02*

   Status of the $D_s^{+}\to \varphi {\ell }^{+}{\nu }_{\ell }$ decay with a chiral-odd $\varphi$-meson light-cone distribution amplitude

   Ya-Xiong Wang🇨🇳 · Dan-Dan Hu🇨🇳 · Wan-Bing Luo🇨🇳 · Tao Zhong🇨🇳 · Hai-Bing Fu🇨🇳

   The twist-2 distribution amplitude of the $\varphi$-meson has attracted considerable interest due to its unique properties. In this work, we construct the transverse leading-twist light-cone distribution amplitude ${\varphi }_{2;\varphi }^{\perp }(x,{\mu }_0)$ of the $\varphi$-meson using the light-cone harmonic oscillator model, in which a parameter $B_{2;\varphi }^{\perp }$ dominantly control its longitudinal distribution. To explicitly isolate different twist contributions, we employ the right-handed chiral correlator for the QCD light-cone sum rules calculation of $D_s^{+}\to \varphi$ decays, and further, we get the branching fraction, $\mathcal{B}(D_s^{+}\to \varphi e^{+}{\nu }_e)=(2.271_{-0.243}^{+0.291})\times 10^{-2}$ and $\mathcal{B}(D_s^{+}\to \varphi {\mu }^{+}{\nu }_{\mu })=(2.250_{-0.240}^{+0.287})\times 10^{-2}$, where errors are squared average of the mentioned error sources. Furthermore, we have extracted the Cabbibo-Kobayashi-Maskawa (CKM) matrix element $|V_{cs}|=0.975_{-0.066}^{+0.067}$ with improved precision through the analysis. Finally, we calculated the polarization parameter and asymmetry parameter for the $D_s^{+}\to \varphi$ decays.

   hep-phPRD(2025)·5 citations
3. 03*

   Probing the low mass pseudoscalar in flipped Two Higgs Doublet Model

   Dilip Kumar Ghosh🇮🇳 · Biswarup Mukhopadhyaya🇮🇳 · Sirshendu Samanta🇮🇳 · Ritesh K. Singh🇮🇳

   The phenomenology of the flipped two-Higgs-doublet model (2HDM) is relatively less explored so far, as compared to the other, commonly discussed, types. It is found that this scenario, like several others, admits of a light neutral pseudoscalar $A$ in the mass range 20 - 60 GeV, consistently with all current experimental data and theoretical constraints. However, the fact that such a pseudoscalar decays overwhelmingly into a $b\bar{b}$ pair makes its identification at the Large Hadron Collider (LHC) a challenging task. After identifying the region of the flipped 2HDM parameter space yielding a light pseudoscalar, we identify a useful search channel in the process $pp\to AZ(Z^{\ast })\to b\bar{b}{\ell }^{+}{\ell }^{-}$. A cut-based analysis, followed by one based on Boosted Decision Trees, shows that the light-$A$ scenario in flipped 2HDM should be detectable with rather high statistical significance at the high-luminosity LHC run, even after including systematic uncertainties. Furthermore, part of the parameter space, especially around $m_A=30-40$ GeV is amenable to detection at the discovery level within Run-2 itself.

   hep-phPRD(2025)·1 citation
4. 04*

   $\varphi \to 3\pi$ and $\varphi {\pi }^0$ transition form factor from Khuri-Treiman equations

   A. Garcia-Lorenzo🇪🇸 · M. Albaladejo🇪🇸 · S. Gonzlez-Solis🇪🇸 · N. Hammoud🇪🇸 · V. Mathieu🇪🇸 · G. Montana🇺🇸 · A. Pilloni🇮🇹 · D. Winney🇩🇪 · A.P. Szczepaniak🇺🇸

   This work studies the $\varphi \to 3\pi$ decay and the $\varphi \to {\pi }^0{\gamma }^{\ast }$ transition form factor, utilizing the Khuri-Treiman formalism to account for analyticity, crossing, and unitarity. Using once-subtracted dispersion relations, we perform a simultaneous fit to the $\varphi \to 3\pi$ Dalitz plot distribution and the $\varphi \to {\pi }^0{\gamma }^{\ast }$ measurements from the KLOE collaboration, finding good agreement with these experimental data. These results reaffirm the applicability of the Khuri-Treiman approach in the analysis of three-body decays. An interesting result is that the subtraction constant appearing in the equations is similar to a sum rule expectation, in contrast to analogous studies of $\omega \to 3\pi$ decays and $\omega \to {\pi }^0{\gamma }^{\ast }$, which shows significant deviations. Our results also provide a reasonable description of the trend of the transition form factor data from BaBar in the $e^{+}{e}^{-}\to \varphi {\pi }^0$ scattering region. These intriguing theoretical differences between the decays of $\varphi$ and $\omega$ could encourage further experimental measurements to assess the discrepancies and refine the theoretical predictions.

   hep-phhep-exnucl-thPRD(2026)·6 citations
5. 05*

   Numerical simulations on First-order phase transition through thermal fluctuation

   Ligong Bian🇨🇳 · Yuefeng Di🇨🇳 · Yongtao Jia🇨🇳 · Yang Li🇨🇳 · Kehao Zeng🇨🇳

   In this Letter, we numerically present the possibility of the first-order phase transition occurring through the thermal fluctuation in the early universe. We find that when the temperature is slightly higher than the mass scale of the background field, the bubble-like field configurations appear proceeded by oscillons, which expand and collide to finish the phase transition. We provide the false vacuum decay rate and the accompanied gravitational waves. We also present the vacuum phase transition comparison of the quantum tunneling case and thermal fluctuation case.

   hep-phastro-ph.COhep-th6 citations
6. 06*

   Novel constraints on $\Lambda \bar{\Lambda }$ and $p\bar{\Lambda }$ interactions using correlation data

   Valentina Mantovani Sarti🇩🇪

   The interaction between baryons and antibaryons remains a fundamental topic in hadronic physics, particularly due to its potential to reveal exotic bound states such as baryonia. While the proton-antiproton system has been extensively studied, mainly via scattering experiments, interactions involving antihyperons, such as proton-antilambda and lambda-antilambda, are still poorly constrained due to limited experimental data. High-precision measurements of these systems, especially at low relative momentum, have recently become available through femtoscopic analyses in proton-proton collisions at the LHC. In this work, we extract for the first time the scattering parameters for the lambda-antilambda and proton-antilambda systems using correlation data measured by the ALICE experiment. Our aim is to investigate potential differences between the elastic and annihilation components of the interaction potential. We employ a novel analysis framework, iCATS (imaginary CATS), which solves the Schrödinger equation with complex optical potentials to model the strong final-state interactions in systems dominated by inelastic processes. Our results indicate distinct annihilation characteristics between the two systems, challenging the assumption of universal baryon-antibaryon dynamics. The extracted scattering amplitudes are compared with available production cross sections and invariant mass spectra. The consistency between femtoscopic constraints and other observables supports the use of this approach for future explorations of the baryon-antibaryon sector.

   hep-phEPJC(2025)·4 citations
7. 07*

   Strong Coupling Expansion of Gluodynamics on a Lattice under Rotation

   Sheng Wang🇨🇳 · Jun-Xia Chen🇨🇳 · Defu Hou🇨🇳 · Hai-Cang Ren🇨🇳

   The analytic strong coupling expansion of the gluodynamics under a rotation with an angular velocity $\omega$ is reported. While the expansion is systematic, free from additional assumptions, the deconfinement temperature determined by the onset of the Polyakov loop expectation value decreases with the angular velocity up to ${\omega }^2$, opposite to the tendency found in numerical simulations. As a by-product, a simple formula is obtained for the ${\omega }^2$ coefficient of the deconfinement temperature shift in terms of the latent heat and the discontinuity of the moment of inertia at the transition without rotation. This formula is independent of the strong coupling and may benefit further investigation of the subject.

   hep-ph15 citations
8. 08*

   Testing the nature of the ${\Sigma }^{\ast }(1430)$

   Jia-Xin Lin🇨🇳 · Jing Song🇨🇳 · Miguel Albaladejo🇪🇸 · Albert Feijoo🇪🇸 · Eulogio Oset🇪🇸

   We study the feasibility of having the ${\Sigma }^{\ast }(1430)$ state, predicted within the chiral unitary approach and recently reported by the Belle Collaboration, as corresponding to a state of non-molecular nature. Starting from this assumption, since the state is observed in the $\pi \Lambda$ channel, we allow the coupling to this state and relate the coupling to $\bar{K}N$ and $\pi \Sigma$ using $SU(3)$ symmetry arguments. We find that it is possible to have such a state with negligible coupling to the molecular components with a bare mass of the state very close to the physical mass of the ${\Sigma }^{\ast }(1430)$. Yet, this has consequences on other observables, since the width obtained is extremely small and incompatible with the Belle observations, and it leads to abnormally large values of the $\bar{K}N$ effective range. Conversely, such mismatches do not appear for large values of the bare mass of the state, but in this case we observe that the state develops large molecular components. While one can rule out a largely non-molecular nature for this state, its properties and detailed nature will need further experimental developments which one can anticipate will be coming in the near future.

   hep-phPRD(2025)·7 citations
9. 09*

   Radiative decays of the second shell ${\Lambda }_b$ and ${\Xi }_b$ bottom baryons

   Ailier Rivero-Acosta🇲🇽 · H. García-Tecocoatzi🇲🇽 · A. Ramirez-Morales🇲🇽 · E. Santopinto🇮🇹 · Carlos Alberto Vaquera-Araujo🇲🇽

   In this work, we investigate the radiative decays of the ${\Lambda }_b$ and ${\Xi }_b$ bottom baryons, which belong to the flavor anti-triplet (${\bar{3}}_{\mathrm{F}}$), within the constituent quark model formalism. The electromagnetic transitions are calculated from the second-shell states to both the ground and $P$-wave final states. These decays play a crucial role in confirming the existence of certain resonances. When strong decays are not allowed, the reconstruction of states relies on their electromagnetic decay channels. Moreover, electromagnetic decay widths are particularly useful for the identification of resonances when states have the same mass and total decay width. This study presents, for the first time, the calculation of electromagnetic decays for $D_{\rho }$-wave states, $\rho -\lambda$ mixed states, and $\rho$-mode radially excited states. Throughout our calculations, we account for uncertainties arising from both experimental and model-dependent errors.

   hep-phPRD(2025)·2 citations
10. 10*

    Hidden-Strangeness Tetraquarks in the Dynamical Diquark Model

    Shahriyar Jafarzade🇺🇸 · Richard F. Lebed🇺🇸

    The dynamical diquark model describes multiquark exotic hadrons in terms of diquark components nucleated by heavy quarks, and successfully explains multiple features of hidden-charm and -bottom exotics. Here we apply the model to the marginally heavy case of hidden-strange states to probe whether mesons near 2 GeV with peculiar properties, such as $\varphi (2170)$, $f_2(2340)$, and X(2370), are possible tetraquark candidates. We calculate spin-multiplet average masses using potentials obtained through lattice simulations and quark models, and we also describe the detailed spectra of the expected multiplets as a diagnostic to discern the nature of future hadrons likely to be discovered in this mass region by experiments at facilities such as BESIII, JLab, and the EIC.

    hep-phnucl-thPRD(2025)·9 citations
11. 11*

    Direct Detection of Cosmic Walls with Paleo Detectors

    Wen Yin🇯🇵

    Paleo detectors are emerging dark matter detection technology that exploits ancient minerals as passive, time-integrated detectors. Unlike conventional real-time experiments, they search for permanent damage tracks-typically tens of nanometers to micrometers long-left in crystal lattices by rare particle interactions, most notably dark matter induced nuclear recoils accumulated over millions to billions of years. In this paper I propose a direct detection strategy for cosmic walls-either bubble walls produced by a late-time first-order phase transition or domain walls in a scaling regime-using paleo detectors as the target medium. Because the cosmic wall is expected to traverse Earth at most $\mathcal{O}(1)$ time(s) in cosmic history, an ancient, continuously exposed detector is the only feasible way to observe it directly. By calculating the target recoils, I find that the smoking-gun signature would be parallel damage tracks found worldwide in minerals older than the wall-crossing epoch. I derive the limit on the wall-target coupling by assuming that a wall passed through the Earth within the last 0.5 Gyr. I also mention a novel indirect detection of ultra-relativistic cosmic walls by noting the induced cosmic rays.

    hep-phastro-ph.COPRD(2026)·4 citations
12. 12*

    Rescuing 331 bileptons from the Landau pole

    Stefano Morisi🇮🇹 · Giovanna Paola Perdonà🇮🇹 · Giulia Ricciardi🇮🇹

    Among the particles being searched for at the LHC beyond the Standard Model are bileptons, which are doubly charged gauge bosons. Bileptons are predicted by several Standard Model extensions, including the so-called 331 models with $\beta =\sqrt{3}$. The minimal formulation of these models is generally plagued by a "low energy" Landau pole, which can undermine current predictions for TeV-scale bileptons. We analyze this issue and investigate the possibility to shift the Landau pole at higher energy scales by extending the troublesome minimal 331 models.

    hep-phhep-exhep-thPRD(2025)·1 citation
13. 13*

    Flavour hierarchies, extended groups and composites

    Javier M. Lizana🇪🇸

    In these proceedings, I present a composite Higgs model in which the flavour hierarchies between the third and light families emerge naturally. In particular, CKM mixing angles turn out to be suppressed while PMNS matrix remains anarchic. This flavour structure arises as a consequence of the extended non-universal gauge symmetry of the model and the electroweak charges of the fundamental fermions of the new composite sector that realises the Higgs boson as a pseudo Nambu-Goldstone boson. The model is described in detail in arXiv:2412.14243.

    hep-ph1 citation
14. 14*

    String Theory and Grand Unification Suggest a Sub-Microelectronvolt QCD Axion

    Joshua N. Benabou🇺🇸 · Katherine Fraser🇺🇸 · Mario Reig🇬🇧 · Benjamin R. Safdi🇺🇸

    Axions, grand unification, and string theory are each compelling extensions of the Standard Model. We show that combining these frameworks imposes strong constraints on the QCD axion mass. Using unitarity arguments and explicit string compactifications - such as those from the Kreuzer-Skarke (KS) type IIB ensemble - we find that the axion mass is favored to lie within the range $10^{-11}$ eV $\lesssim m_a\lesssim$ $10^{-8}$ eV. This range is directly relevant for near-future axion dark matter searches, including ABRACADABRA/DMRadio and CASPEr. We argue that grand unification and the absence of proton decay suggest a compactification volume that keeps the string scale above the unification scale ($\sim$$10^{16}$ GeV), which in turn limits how heavy the axion can be. The same requirements limit the KS axiverse to have at most $\sim$47 axions. As an additional application of our methodology, we search for axions in the KS axiverse that could explain the recent Dark Energy Spectroscopic Instrument (DESI) hints of evolving dark energy but find none with high enough decay constant ($f_a\gtrsim 2.5\times 10^{17}$ GeV); we comment on why such high decay constants and low axion masses are difficult to obtain in string compactifications more broadly.

    hep-phhep-thPRD(2025)·34 citations
15. 15*

    Hydrogen 21 cm Constraints on the Photon's Spin Scale

    Aidan Reilly🇺🇸 · Alessandro Russo🇺🇸 · Philip Schuster🇺🇸 · Natalia Toro🇺🇸

    We explore the fundamental but untested possibility that the photon is a continuous spin particle (CSP) with a small but non-zero spin Casimir $\rho$. When $\rho \ne 0$, the familiar polarization modes of the photon transform non-trivially under Lorentz boosts, leading to deviations from familiar QED. Surprisingly, these deviations are strongest at low energy, but smoothly vanish in the $\rho \to 0$ limit. In this letter, we compute corrections to the hydrogen 21cm transition rate, which is expected to be particularly sensitive given the small hyperfine energy splitting $\omega$. We find deviations from QED $\propto {\rho }^2{\alpha }^2/{\omega }^2$ at leading order, suggesting experimental constraints $\rho \lesssim 1$ meV. Building on this work, we expect that a range of other atomic, molecular, or condensed matter systems could be used to provide even more stringent tests of $\rho$ in electromagnetic interactions.

    hep-phphysics.atom-phPRD(2026)·3 citations
16. 16*

    Dark Matter Nuclear Magnetic Resonance is Sensitive to Dark Photons and the Axion-Photon Coupling

    Carl Beadle🇨🇭 · Sebastian A. R. Ellis🇨🇭 · Jacob M. Leedom🇨🇿 · Nicholas L. Rodd🇺🇸

    We demonstrate that nuclear magnetic resonance based searches for dark matter (DM) have intrinsic and powerful sensitivity to dark photons and the axion-photon coupling. The reason is conceptually straightforward. An instrument such as CASPEr-Gradient begins with a large sample of nuclear spins polarised in a background magnetic field. In the presence of axion DM coupled to nucleons, the spin ensemble feels an effective magnetic field $\mathbf{B}\propto \nabla a$ that tilts the spins, generating a potentially observable precession. If the magnetic field is real rather than effective, the system responds identically. A real field can be generated by a kinetically mixed dark photon within the shielded region the sample is placed or an axion coupled to photons through its interaction with the background magnetic field. We show that all three signals are detectable and distinguishable. If CASPEr-Gradient were to reach the QCD axion prediction of the axion-nucleon coupling, it would simultaneously be sensitive to kinetic mixings of $ϵ\simeq 3\times 10^{-16}$ and axion-photon couplings of $g_{a\gamma \gamma }\simeq 2\times 10^{-16}{\mathrm{GeV}}^{-1}$ for $m\simeq 1\mu \mathrm{eV}$.

    hep-phastro-ph.COhep-exPRD(2026)·6 citations
17. 17*

    The Bearable Inhomogeneity of the Baryon Asymmetry

    Hengameh Bagherian🇺🇸 · Majid Ekhterachian🇨🇭 · Stefan Stelzl🇨🇭

    We study the implications of precision measurements of light-element abundances, in combination with the Cosmic Microwave Background, for scenarios of physics beyond the Standard Model that generate large inhomogeneities in the baryon-to-photon ratio. We show that precision Big Bang Nucleosynthesis (BBN) places strong constraints on any mechanism that produces large-scale inhomogeneities at temperatures around or below the TeV scale. In particular, we find that fluctuations of order $25\%$ on comoving length scales larger than the horizon at $T\simeq 3\mathrm{TeV}$ are incompatible with the observed light-element abundances. This sensitivity to early-universe physics arises because baryon-number inhomogeneities homogenize primarily through diffusion, a slow process. As a result, BBN serves as a novel probe of baryogenesis below the TeV scale, readily ruling out some proposed scenarios in the literature. We discuss the implications for electroweak baryogenesis, and further show that precision BBN provides a new probe of first-order phase transitions that generate gravitational waves in the pHz-mHz frequency range. This yields constraints on the electroweak phase transition, as well as first-order phase transitions that have been suggested as an explanation of the pulsar timing array signal. Finally, we comment on the future prospects for improving this probe.

    hep-phastro-ph.COJHEP(2026)·17 citations
18. 18*

    Relaxation Time Approximation for a multi-species relativistic gas

    Gabriel S. Rocha🇺🇸 · Gabriel S. Denicol🇧🇷

    We generalize a recent prescription for the relaxation time approximation for the relativistic Boltzmann equation for systems with multiple particle species at finite temperature. This is performed by adding counter-terms to the traditional Anderson-Witting ansatz for each particle species. Our approach allows for the use of momentum-dependent relaxation times and the obedience of local conservation laws regardless of the definition of the local equilibrium state. As an application, we derive the first order Chapman-Enskog corrections to the equilibrium distribution and display results for the hadron-resonance gas. We also demonstrate that our collision term ansatz obeys the second law of thermodynamics.

    ↳ nucl-thhep-phPRD(2025)·3 citations
19. 19*

    Serendipitous Syzygies of Scattering Amplitudes

    David A. Kosower🇫🇷 · Sebastian Pögel🇨🇭

    We study linear relations between color-ordered all-plus amplitudes at one loop in Yang--Mills theory. We show that on general grounds, there are $(n-1)!/2-2$ relations for $n\ge 5$, leaving only two independent color-ordered amplitudes. We present two complementary approaches to finding such relations: one using numerical linear algebra and the other using syzygies in computational algebraic geometry. We obtain explicit forms for all relations through $n=7$. We also study relations for the tree-level MHV amplitudes through $n=8$. The latter relations include the well-known color and Bern--Carrasco--Johansson identities.

    ↳ hep-thhep-phPRD(2025)·2 citations
20. 20*

    Shapes and orientations of massive halos in the statistically anisotropic universe

    Shogo Masaki🇯🇵 · Yurino Mizuguchi🇯🇵 · Shohei Saga🇯🇵 · Shuichiro Yokoyama🇯🇵

    We investigate how statistical anisotropy (SA) in matter distributions affects the distributions of shapes and orientations of cluster-sized halos, using cosmological $N$-body simulations that incorporate SA. While the three-dimensional halo shape parameters show little dependence on SA, we find that halo orientations are significantly influenced, with halos tending to align either perpendicular or parallel to the SA direction. This SA-induced alignment becomes more prominent for more massive halos. We also study other vector quantities associated with the dynamics of halos, such as bulk velocity and angular momentum vectors. We find that their dependences on the SA are smaller than those of the orientation vectors. Our findings suggest that observational measurements of projected halo shapes derived from galaxy cluster-galaxy lensing could provide a novel probe of SA in the universe.

    ↳ astro-ph.COgr-qchep-phJCAP(2026)·1 citation
21. 21*

    Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential

    Nikesh Lilani🇮🇳 · Dilpreet Sandhu🇮🇳 · Subhash Mahapatra🇮🇳

    In this work, we study quantum chaos in a variety of holographic QCD models at finite temperature and chemical potentials. This includes the 1 R-Charge black hole (1RCBH) model, the 2 R-Charge black hole (2RCBH) model, a potential reconstruction-based analytic bottom-up model, and a numerical bottom-up model. All these models are different avatars of the Einstein-Maxwell-dilaton gravity action, distinguished by their specific choices of dilaton potentials and gauge-kinetic coupling functions. We focus on computing the chaos parameter, the butterfly velocity, using three distinct methods: entanglement wedge reconstruction, out-of-time-ordered correlators (OTOCs), and pole-skipping. We show that all three methods yield identical results for the butterfly velocity across all the holographic QCD models considered, further establishing the equivalence between the three approaches. Furthermore, we analyze in detail the behavior of the butterfly velocity as a function of chemical potential and temperature. Interestingly, a universal trend emerges across all models: the butterfly velocity increases/decreases with temperature/chemical potential for thermodynamically stable phases. Additionally, in the high-temperature limit, the butterfly velocity in all models approaches that of the chargeless plasma.

    ↳ hep-thhep-lathep-phnlin.CD+1PRD(2025)·17 citations
22. 22*

    Impact of general relativistic accretion on primordial black holes

    Santabrata Das🇮🇳 · Md Riajul Haque🇮🇳 · Jitumani Kalita🇮🇳 · Rajesh Karmakar🇮🇳 · Debaprasad Maity🇮🇳

    We demonstrate that general relativistic corrections to the accretion of relativistic matter onto primordial black holes (PBHs) can significantly enhance their mass growth during the early Universe. Contrary to previous Newtonian treatments, our analysis reveals that PBH masses can increase by an order of magnitude before evaporation, leading to substantial modifications of their lifetime and cosmological imprints. We quantify the resulting shifts in the minimum PBH mass constrained by Big Bang Nucleosynthesis (BBN), the revised lower bound for PBHs surviving today, and the dark matter parameter space allowed by PBH evaporation. Furthermore, we show that the enhanced accretion alters the high-frequency gravitational wave spectrum from PBH evaporation, potentially within the reach of future detectors. Our results provide a comprehensive, relativistically consistent framework to delineate the role of PBHs in early-universe cosmology and dark matter phenomenology.

    ↳ astro-ph.COgr-qchep-phPRD(2025)·11 citations
23. 23*

    ${\varphi }^3$ theory at six loops

    Oliver Schnetz🇩🇪

    We present the renormalization functions of dimensionally regularized ${\varphi }^3$ theory in six dimensions up to loop order six in the minimal subtraction scheme.

    ↳ hep-thhep-phmath-phmath.MPPRD(2025)·15 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.