Computes NLO matching of QCD currents to power-suppressed two- and three-particle two-jet operators in SCET up to O(λ²), with endpoint factorization relations shown.
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FeynCalc 10: Do multi- loop integrals dream of computer codes?
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abstract
In this work we report on a new version of FeynCalc, a Mathematica package widely used in the particle physics community for manipulating quantum field theoretical expressions and calculating Feynman diagrams. Highlights of the new version include greatly improved capabilities for doing multiloop calculations, including topology identification and minimization, optimized tensor reduction, rewriting of scalar products in terms of inverse denominators, detection of equivalent or scaleless loop integrals, derivation of Symanzik polynomials, Feynman parametric as well as graph representation for master integrals and initial support for handling differential equations and iterated integrals. In addition to that, the new release also features completely rewritten routines for color algebra simplifications, inclusion of symmetry relations between arguments of Passarino--Veltman functions, tools for determining matching coefficients and quantifying the agreement between numerical results, improved export to LaTeX and first steps towards a better support of calculations involving light-cone vectors.
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representative citing papers
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.
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.
SIRENA automates IBP reduction of sum-integrals in finite-temperature QFT, reproduces known results to 3 loops, supplies new 3-loop fermionic reductions, and derives an analytic factorization formula for arbitrary 2-loop fermionic sum-integrals.
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.
QCD sum-rule computation of vector/axial-vector and tensor/axial-tensor decay constants for B_c, B_c*, B_c0*, B_c1 mesons, with refined power corrections and first tensor results.
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.
Quasi-finite Feynman integrals produce sparse Fano and reflexive polytopes that encode degenerate Calabi-Yau varieties and link to del Pezzo surfaces, K3 surfaces, and Calabi-Yau threefolds.
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.
A subtraction formula is presented to eliminate infrared divergences in light-quark propagators for QCD sum rules at the propagator level.
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.
CPT-odd Lorentz-violating scalar QCD is multiplicatively renormalizable at one loop, with all divergences absorbed into existing counterterms and explicit beta functions obtained.
SubTropica is a software package that automates symbolic integration of linearly-reducible Euler integrals via tropical subtraction, supported by HyperIntica and an AI-driven Feynman integral database.
In a simplified ALP model with flavor-violating e-μ couplings, constraints from Δa_e, μ→3e, and other processes limit the branching ratio of μ⁻e⁻→e⁻e⁻ in aluminum muonic atoms to O(10^{-20}), with resonant regions more suppressed.
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.
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.
Projects COSI and AMEGO-X sensitivities to sub-GeV DM in vector-scalar portals, finding COSI leading in some regions beyond CMB limits and AMEGO-X covering most continuum cases.
In low-reheating-temperature charged-parent freeze-in dark matter models, stronger couplings are viable if both dark matter and mediator number densities are tracked, with updated LHC and lepton-flavor-violation constraints.
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.
citing papers explorer
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One-loop matching of QCD currents to power-suppressed two-jet operators
Computes NLO matching of QCD currents to power-suppressed two- and three-particle two-jet operators in SCET up to O(λ²), with endpoint factorization relations shown.
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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.
-
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.
-
SIRENA -- Sum-Integral REductioN Algorithm
SIRENA automates IBP reduction of sum-integrals in finite-temperature QFT, reproduces known results to 3 loops, supplies new 3-loop fermionic reductions, and derives an analytic factorization formula for arbitrary 2-loop fermionic sum-integrals.
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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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Decay constants of $B_c$-mesons with vector and tensor currents
QCD sum-rule computation of vector/axial-vector and tensor/axial-tensor decay constants for B_c, B_c*, B_c0*, B_c1 mesons, with refined power corrections and first tensor results.
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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.
-
Fano and Reflexive Polytopes from Feynman Integrals
Quasi-finite Feynman integrals produce sparse Fano and reflexive polytopes that encode degenerate Calabi-Yau varieties and link to del Pezzo surfaces, K3 surfaces, and Calabi-Yau threefolds.
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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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Subtraction of infrared divergences in light-quark QCD sum rules
A subtraction formula is presented to eliminate infrared divergences in light-quark propagators for QCD sum rules at the propagator level.
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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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Perturbative Analysis of CPT-Odd Lorentz-Violating Scalar QCD
CPT-odd Lorentz-violating scalar QCD is multiplicatively renormalizable at one loop, with all divergences absorbed into existing counterterms and explicit beta functions obtained.
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SubTropica
SubTropica is a software package that automates symbolic integration of linearly-reducible Euler integrals via tropical subtraction, supported by HyperIntica and an AI-driven Feynman integral database.
-
Axion-like Particles and Lepton Flavor Violation in Muonic Atoms
In a simplified ALP model with flavor-violating e-μ couplings, constraints from Δa_e, μ→3e, and other processes limit the branching ratio of μ⁻e⁻→e⁻e⁻ in aluminum muonic atoms to O(10^{-20}), with resonant regions more suppressed.
-
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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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.
-
Constraining light dark matter in vector-scalar portals with COSI and AMEGO-X
Projects COSI and AMEGO-X sensitivities to sub-GeV DM in vector-scalar portals, finding COSI leading in some regions beyond CMB limits and AMEGO-X covering most continuum cases.
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Freeze-in at all couplings
In low-reheating-temperature charged-parent freeze-in dark matter models, stronger couplings are viable if both dark matter and mediator number densities are tracked, with updated LHC and lepton-flavor-violation constraints.
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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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Two photon decay width of the fully charmed tetraquarks: revisiting prospects for ultraperipheral collisions
Computes two-photon couplings of scalar and tensor fully-charmed tetraquarks via NRQCD from recent four-body wave functions and finds resonant terms dominate J/ψJ/ψ but not diphoton production in UPCs, disagreeing with naive vector dominance.
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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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Prompt photon production in a bremsstrahlung in proton-proton collisions at $\sqrt{\mathbf{s}}$=10 GeV NICA energies
Bremsstrahlung contributes 0.03% to prompt photon production in 10 GeV pp collisions, with large polarization effects at high transverse momentum and a studied double-spin asymmetry.
- Polarized Deep-Inelastic Scattering with Spin Correlations in Herwig 7
- Black Hole Response Theory and its Exact Shockwave Limit