O(G^4) gravitational wave scattering amplitude computed in worldline QFT with Murua decomposition, matched to black hole perturbation theory to validate the formalism for Schwarzschild black holes.
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FeynCalc 9.3: New features and improvements
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abstract
We present FeynCalc 9.3, a new stable version of a powerful and versatile Mathematica package for symbolic quantum field theory (QFT) calculations. Some interesting new features such as highly improved interoperability with other packages, automatic extraction of the ultraviolet divergent parts of 1-loop integrals, support for amplitudes with Majorana fermions and $\gamma$-matrices with explicit Dirac indices are explained in detail. Furthermore, we discuss some common problems and misunderstandings that may arise in the daily usage of the package, providing explanations and workarounds.
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representative citing papers
Computes two-loop jet functions for N=4,5,6 projected energy correlators enabling NNLL collinear resummation matched to NLO in e+e- and Higgs-to-gluons processes, with non-perturbative corrections from two universal soft matrix elements.
Hidden-sector dark matter achieves standard thermal relic abundance via early decoupling with temperature-matched freeze-out, enabling WIMP-like cross sections without late-time thermalization.
Relativistic ChPT at NLO with resonance saturation yields a good combined fit to hyperon non-leptonic s- and p-wave decay amplitudes.
Authors define Kerr generating functions for all-loop scattering on Kerr black holes and apply them to compute leading non-linear tidal effects of neutron stars up to four loops in gravity.
Calculates decoherence from radiation on a Bell-state fermion pair by mapping integrated Altarelli-Parisi splitting functions to Kraus operators of an open quantum system.
Complete NLO QCD corrections to charmless inclusive non-leptonic B-decay widths are computed for the full BSM operator set, yielding 26 constrained directions in Wilson coefficient space.
Higher-order electromagnetic and hadronic contributions to dark photon bremsstrahlung have limited impact on signal and background predictions for LDMX and LOHENGRIN except for requiring an HCAL extension in LOHENGRIN to veto diffractive backgrounds.
One-loop weak corrections to fermionic MDM annihilation cross sections are computed, with IR divergences canceling in the s-wave and 5% effects in doublet, triplet, and quintuplet cases.
SCET factorization confirms the double-logarithmic resummation for B_c to eta_c form factors up to three loops and derives the iterative structure from RG equations of light-cone distribution amplitudes with cutoff regularization.
Planck CMB data set upper limits on vector and axial-vector dark matter-electron couplings for masses 100 eV to 100 keV via energy injection from inelastic scattering and hydrogen absorption.
Computes LO amplitudes for di-meson photoproduction channels sensitive to quark GPDs and reports high cross sections suitable for GPD studies at JLab energies.
A chiral EFT framework is constructed for |ΔB|=2 interactions that matches SMEFT operators to low-energy baryon processes and identifies new dinucleon decay channels sensitive to previously unconstrained operator structures.
A new Mathematica package computes tree amplitudes with arbitrary gauge bosons and arbitrarily charged massless fermions by reducing distinct-flavor partial amplitudes to linear combinations of single-flavor supersymmetric Yang-Mills components.
A complex bumblebee model is formulated with gauge and longitudinal couplings; one-loop RG functions are derived and the leading-log effective potential indicates possible dynamical Lorentz violation.
Within HQET, radiative semileptonic decay form factors for Lambda(b) to Lambda(c) and B to D(*) transitions are fully determined by non-radiative Isgur-Wise functions and heavy-hadron magnetic dipole moments in soft and sub-leading soft regions.
Computes branching ratios of order 10^{-10} for Bs and 10^{-11} for Bd decays after NLO vertex corrections in QCD factorization, plus dimuon distributions and J/psi polarization.
Computes hard-region fermion self-energy and vertex in thermal QED through two loops with symmetry constraints and finds no finite damping-rate contribution from the self-energy terms.
The OMG3Q1.1 framework delivers the first uncertainty-quantified set of fragmentation functions for all-heavy Ω_{3Q} baryons via diquark-inspired inputs, HF-NRevo evolution, and replica-based error estimation.
Calculations of cLFV cross sections in eμ scattering show the e−μ+ → W+W− channel at √s > 2MW offers better prospects for detecting heavy sterile neutrinos than the quartically suppressed e−μ+ → e+μ− process.
Chiral EFT derivation of the Δ⁻ → p e⁻ e⁻ amplitude including long-range neutrino loops, short-range counterterms, pion-mass dependence for collinear electrons, and a long-range prediction in the degenerate Δ-nucleon mass limit.
Future muon colliders can probe Kaluza-Klein excitations of a 5D U(1)_{Lμ-Lτ} gauge boson across MeV to TeV masses with couplings down to 10^{-5}.
Tree-level amplitudes in agravity-coupled QED produce differential cross sections scaling universally as dσ/dΩ ∝ 1/s at ultra-Planckian energies across multiple channels.
Updated SM predictions yield Br(η→e⁺e⁻)=5.37(4)(2)[4]×10⁻⁹, Br(η→μ⁺μ⁻)=4.54(4)(2)[4]×10⁻⁶, Br(η'→e⁺e⁻)=1.80(2)(3)[3]×10⁻¹⁰, and Br(η'→μ⁺μ⁻)=1.22(2)(2)[3]×10⁻⁷, with a mild 1.6σ tension in the η→μ⁺μ⁻ channel.
citing papers explorer
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Gravitational wave scattering at $\mathcal{O}(G^4)$: Murua construction and elliptics
O(G^4) gravitational wave scattering amplitude computed in worldline QFT with Murua decomposition, matched to black hole perturbation theory to validate the formalism for Schwarzschild black holes.
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Projected Energy Correlators: Two-Loop Jet Functions and NNLL Resummation
Computes two-loop jet functions for N=4,5,6 projected energy correlators enabling NNLL collinear resummation matched to NLO in e+e- and Higgs-to-gluons processes, with non-perturbative corrections from two universal soft matrix elements.
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WIMP-like Dark Matter Without Thermalization At Freeze-Out
Hidden-sector dark matter achieves standard thermal relic abundance via early decoupling with temperature-matched freeze-out, enabling WIMP-like cross sections without late-time thermalization.
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Hyperon non-leptonic decays in relativistic Chiral Perturbation Theory with resonances
Relativistic ChPT at NLO with resonance saturation yields a good combined fit to hyperon non-leptonic s- and p-wave decay amplitudes.
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Hidden simplicity in the scattering for neutron stars and black holes
Authors define Kerr generating functions for all-loop scattering on Kerr black holes and apply them to compute leading non-linear tidal effects of neutron stars up to four loops in gravity.
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Decoherence effects in entangled fermion pairs at colliders
Calculates decoherence from radiation on a Bell-state fermion pair by mapping integrated Altarelli-Parisi splitting functions to Kraus operators of an open quantum system.
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Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model
Complete NLO QCD corrections to charmless inclusive non-leptonic B-decay widths are computed for the full BSM operator set, yielding 26 constrained directions in Wilson coefficient space.
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Theory Calculations for LDMX and LOHENGRIN beyond Coherent Bethe-Heitler Scattering
Higher-order electromagnetic and hadronic contributions to dark photon bremsstrahlung have limited impact on signal and background predictions for LDMX and LOHENGRIN except for requiring an HCAL extension in LOHENGRIN to veto diffractive backgrounds.
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Weak corrections to Minimal Dark Matter annihilations
One-loop weak corrections to fermionic MDM annihilation cross sections are computed, with IR divergences canceling in the s-wave and 5% effects in doublet, triplet, and quintuplet cases.
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$B_c \to \eta_c$ form factors at large recoil: SCET analysis and a three-loop consistency check
SCET factorization confirms the double-logarithmic resummation for B_c to eta_c form factors up to three loops and derives the iterative structure from RG equations of light-cone distribution amplitudes with cutoff regularization.
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CMB Limits on the Absorption of Light Vector and Axial-Vector Dark Matter
Planck CMB data set upper limits on vector and axial-vector dark matter-electron couplings for masses 100 eV to 100 keV via energy injection from inelastic scattering and hydrogen absorption.
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Exclusive photoproduction of a di-meson pair with large invariant mass
Computes LO amplitudes for di-meson photoproduction channels sensitive to quark GPDs and reports high cross sections suitable for GPD studies at JLab energies.
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EFT Pathways to $|\Delta B| =2$: Chiral Constructions and Phenomenology
A chiral EFT framework is constructed for |ΔB|=2 interactions that matches SMEFT operators to low-energy baryon processes and identifies new dinucleon decay channels sensitive to previously unconstrained operator structures.
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Tree Amplitudes with Charged Matter in Pure Gauge Theory
A new Mathematica package computes tree amplitudes with arbitrary gauge bosons and arbitrarily charged massless fermions by reducing distinct-flavor partial amplitudes to linear combinations of single-flavor supersymmetric Yang-Mills components.
-
Complex bumblebee model
A complex bumblebee model is formulated with gauge and longitudinal couplings; one-loop RG functions are derived and the leading-log effective potential indicates possible dynamical Lorentz violation.
-
Radiative Semileptonic Decays of Beautiful Hadrons
Within HQET, radiative semileptonic decay form factors for Lambda(b) to Lambda(c) and B to D(*) transitions are fully determined by non-radiative Isgur-Wise functions and heavy-hadron magnetic dipole moments in soft and sub-leading soft regions.
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$\bar{B}_{s,d}^{0} \to J/\psi \mu^{+}\mu^{-}$ Decays in QCD Factorization
Computes branching ratios of order 10^{-10} for Bs and 10^{-11} for Bd decays after NLO vertex corrections in QCD factorization, plus dimuon distributions and J/psi polarization.
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Hard-Region Fermion Self-Energy and Fermion--Photon Vertex in Thermal QED through Two Loops
Computes hard-region fermion self-energy and vertex in thermal QED through two loops with symmetry constraints and finds no finite damping-rate contribution from the self-energy terms.
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Toward Precision Fragmentation of $\Omega_{3Q}$ Baryons: The OMG3Q1.1 Framework
The OMG3Q1.1 framework delivers the first uncertainty-quantified set of fragmentation functions for all-heavy Ω_{3Q} baryons via diquark-inspired inputs, HF-NRevo evolution, and replica-based error estimation.
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Electron-muon colliders at high energies to discover heavy sterile neutrinos
Calculations of cLFV cross sections in eμ scattering show the e−μ+ → W+W− channel at √s > 2MW offers better prospects for detecting heavy sterile neutrinos than the quartically suppressed e−μ+ → e+μ− process.
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Neutrinoless double-beta decay of the $\Delta^-$ resonance
Chiral EFT derivation of the Δ⁻ → p e⁻ e⁻ amplitude including long-range neutrino loops, short-range counterterms, pion-mass dependence for collinear electrons, and a long-range prediction in the degenerate Δ-nucleon mass limit.
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Aspects of a Five-Dimensional $U(1)_{L_\mu - L_\tau}$ Model at Future Muon-Based Colliders
Future muon colliders can probe Kaluza-Klein excitations of a 5D U(1)_{Lμ-Lτ} gauge boson across MeV to TeV masses with couplings down to 10^{-5}.
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Scattering amplitudes in dimensionless quadratic gravity coupled to QED
Tree-level amplitudes in agravity-coupled QED produce differential cross sections scaling universally as dσ/dΩ ∝ 1/s at ultra-Planckian energies across multiple channels.
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Improved Standard-Model predictions for $\eta^{(\prime)}\to \ell^+ \ell^-$
Updated SM predictions yield Br(η→e⁺e⁻)=5.37(4)(2)[4]×10⁻⁹, Br(η→μ⁺μ⁻)=4.54(4)(2)[4]×10⁻⁶, Br(η'→e⁺e⁻)=1.80(2)(3)[3]×10⁻¹⁰, and Br(η'→μ⁺μ⁻)=1.22(2)(2)[3]×10⁻⁷, with a mild 1.6σ tension in the η→μ⁺μ⁻ channel.
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Higgs pair production in gluon fusion to higher orders in Higgs Effective Field Theory
Consistent NLO power counting in HEFT for di-Higgs gluon fusion requires higher-dimensional operators beyond leading order, affecting kinematic benchmarks used in experiments.
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The Art of Counting: a reappraisal of the HEFT expansion
HEFT admits two consistent power counting schemes, one with a single low-energy scale v and one with two scales v < f, each allowing systematic truncation of operators and amplitudes for any normalization choice.
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Muon Beam Dump Experiments explicate five-dimensional nature of $U(1)_{L_{\mu}-L_{\tau}}$
Muon beam dump experiments can probe five-dimensional U(1)_{Lμ-Lτ} models via enhanced Kaluza-Klein signals, with decay channels enabling mass reconstruction to indicate extra dimensions.
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FeynGrav 4.0
FeynGrav 4.0 adds a finite BRST ghost-graviton interaction set for GR and quadratic gravity plus Cheung-Remmen polynomial variables that also yield finite rules.
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QCD sum-rule determination of the axial-vector mixing angle in the \texorpdfstring{\(B_c(1P)\)}{Bc(1P)} sector
QCD sum rules determine the axial-vector mixing angle θ_Bc(1P) = (43.3 ± 0.2)° in the B_c(1P) sector.
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Sensitivity to top-quark couplings in diboson production at lepton colliders
NLO EW corrections to WW production from SMEFT top operators yield competitive sensitivity at LEP3 and FCC-ee relative to ZH production and existing LEP/LHC bounds.
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Top Pair Threshold Revisited
Updated non-relativistic Green's function formalism for ttbar threshold production gives a below-threshold cross section of order 6.5 pb matching recent LHC excess observations.
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Searching for dark photons in $J/\psi$ decays
NRQCD-based study projects BESIII and STCF sensitivity to light dark photons (m_U < 3 GeV) via visible and invisible J/ψ decay channels.
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Constraining dimension-6 SMEFT with higher-order predictions for $p p \to t W$
Higher-order QCD predictions for pp to tW enable three-parameter SMEFT fits that constrain effective new-physics scales to 0.5–2 TeV using LHC Run II and III data.
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Mass Spectra of $\Lambda_Q\bar{\Sigma}_Q$ Hexaquark States in QCD Sum Rules
QCD sum rules predict Λ_c Σ_c hexaquark ground-state masses around 5.8 GeV, above threshold and consistent with no bound state observed by BESIII.
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Underground Production of Electromagnetic Dark States by MeV-scale Electron Beams and Detection with CCDs
Proposes underground MeV-scale electron-beam production of millicharged or dipole fermions followed by CCD detection to access unconstrained parameter space.
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Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations
Connects recurrence techniques and dispersive methods with dimension shifts to reduce multi-point functions to two-point basis, minimizing dispersive integrals for one- and two-loop calculations.
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Global analysis of a minimally extended scotogenic model
Global analysis constrains fermionic DM to 120-350 GeV and CP-odd scalar to 350-600 GeV in a scotogenic extension, with DESI potentially ruling out inverted neutrino hierarchy and Z invisible width compatible with data at 3 sigma.
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Influence of Photon Inverse Emission on Forward-Backward Asymmetry in Dilepton Production at the LHC
Photon inverse emission contributes to forward-backward asymmetry in LHC dilepton production, quantified via numerical analysis and additive relative corrections in high-mass kinematic regions.
- Polarized Deep-Inelastic Scattering with Spin Correlations in Herwig 7