REVIEW 27 cited by
FIRE6: Feynman Integral REduction with Modular Arithmetic
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
FIRE is a program performing reduction of Feynman integrals to master integrals. The C++ version of FIRE was presented in 2014. There have been multiple changes and upgrades since then including the possibility to use multiple computers for one reduction task and to perform reduction with modular arithmetic. The goal of this paper is to present the current version of FIRE.
Forward citations
Cited by 27 Pith papers
-
Gravitational bremsstrahlung waveform at the eighth post-Minkowskian order in the extreme-mass-ratio limit
New high-order perturbative results for extreme-mass-ratio gravitational scattering waveforms, radiated angular momentum, and radiation-reaction deflection, claimed at eighth but explicitly computed to seventh post-Mi...
-
Two-loop form factors for $P$-wave quarkonium production and decay
Analytic two-loop form factors for chi_{Q,J} production and decay are presented, including a new NRQCD singularity that couples P-wave states to the 3S1[8] configuration.
-
Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t \bar{t} g$ at leading colour
The two-loop finite remainders for gg to ttbar g at leading colour are evaluated numerically at one benchmark point, with elliptic functions confined to the finite part.
-
An Analytic Computation of Three-Loop Five-Point Feynman Integrals
First analytic evaluation of the three-loop five-point pentagon-box-box Feynman integral family up to transcendental weight six, using canonical differential equations and a new one-fold integral representation.
-
The two-loop fully differential soft function for $Q\bar{Q}V$ production at lepton colliders
The two-loop soft function fully differential in the total momentum of real radiation in QQV production is computed analytically in terms of Goncharov polylogarithms.
-
Energy momentum tensor correlators in $\phi^4$ theory II: The spin-two sector
A four-loop calculation shows the energy-momentum tensor charge C_T separates into a fixed-point value plus corrections proportional to the beta function.
-
$B\rightarrow K + \text{axion-like particles}$: effective versus UV-complete models and enhanced two-loop contributions
In the DFSZ axion model, the b to s a transition receives an unsuppressed two-loop contribution proportional to the scalar coupling lambda, which becomes important for tan beta above about 5.
-
A new probe of the quartic Higgs self-coupling
A two-loop calculation of the Higgs wave-function renormalization opens a new, indirect probe of the quartic Higgs self-coupling through single-Higgs production at the FCC.
-
First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
The O(G^3) conservative and radiation-reaction classical observables for spinning black-hole scattering are extended to quartic order in spin, with all-order-in-spin radiation reaction beyond the aligned-spin limit.
-
HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
HQET sum rules yield the first four-quark bag parameters for B-meson lifetimes with beyond-standard-model operators, plus updated standard-model results.
-
Analytic result of a three-loop integral family in the Higgs decay to four massive bottom quarks
Analytic master-integral results through O(ε²) are obtained for a three-loop family containing elliptic and K3 geometries by building and solving a mixed-sector ε-factorized differential equation.
-
Non-Hermitian Structure and Exceptional Points in Yang-Mills Theory from Analytic Continuation of Nc
Analytic continuation of Nc in Yang-Mills theory produces non-Hermitian operator spectra with exceptional points, PT-phase transitions, and topological monodromy.
-
Tensor Reduction of Sunset by Generating Function
A complete set of recurrence relations is derived to reduce any tensor integral of the sunset diagram to seven master integrals, using generating functions supplemented by syzygy equations.
-
Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion
The paper provides fast, analytic two-loop virtual QCD corrections for gluon-induced ZH and off-shell ZZ production with full top-quark mass dependence, validated against numerical results at the sub-percent level.
-
Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling
Multi-point lattice reduction on high-precision numerical samples can recover exact analytic expressions for multi-loop Feynman integrals with rational coefficients.
-
Current-current operator contribution to the decay matrix in $B$-meson mixing at next-to-next-to-leading order of QCD
The full charm-mass dependence of the three-loop current-current contribution to the B-meson decay matrix is computed, yielding Delta_Gamma_s = (0.077 +/- 0.016) ps^-1 with the leading-term perturbative error reduced ...
-
Kira 3: integral reduction with efficient seeding and optimized equation selection
Kira 3 cuts Feynman-integral reduction cost by up to two orders of magnitude using smarter seeding and equation selection.
-
Reduction of $\epsilon$-expanded Feynman integrals
A new R-bar operation yields locally finite Feynman integrals in higher dimensions and reduces epsilon-expanded master integrals to a minimal basis, shown on one-, two-, and three-loop examples.
-
Explainable AI-assisted Optimization for Feynman Integral Reduction
FunSearch discovered a simple priority function for ordering IBP seeding integrals, reducing the number needed for multi-loop Feynman integral reductions by factors up to 3058.
-
Rare $W \to B_c + \gamma$ decay up to the NNLO and NLL accuracy in QCD
The rare decay W to Bc plus photon gets NNLO QCD corrections that reduce the width by 31 percent, giving a branching fraction of 1.522 times 10 to the minus 10 after NLL resummation.
-
Region analysis of $H\to \gamma \gamma $ via a bottom quark loop
A two-loop region analysis of H to gamma gamma via a bottom quark loop shows that with a Delta regulator and a transverse momentum cut, the leading and next-to-leading logarithms come entirely from the soft sector.
-
Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$
A dimension-changing transformation computes one-loop and fixed-branch Feynman integrals to high orders in the dimensional regulator by integrating auxiliary-mass integrals over the mass parameter, implemented in an o...
-
Three-loop jet function for boosted heavy quarks
The three-loop inclusive bHQET jet function for boosted heavy quarks is computed analytically, completing the fixed-order ingredients for N3LL' top-mass observables.
-
Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
The authors build a parallelized Singular and GPI-Space pipeline for integration-by-parts reductions and use it to compute the two-loop nonplanar double-pentagon family analytically up to numerator degree 4.
-
Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function
A rational, recursion-free expression for one-loop tensor reduction coefficients with Lorentz indices is given, built from a small set of tensor building blocks.
-
Status of two-loop automation in OpenLoops
OpenLoops has implemented the building blocks for automated two-loop amplitude calculations in QED and QCD, passing UV pole cancellation checks for simple vertex functions but with broader validation still ongoing.
-
Classical Black Hole Scattering to Celestial Amplitudes in Effective Theories of Gravity
A doctoral thesis reproduces the author's published post-Newtonian and post-Minkowskian two-body observables and celestial amplitudes in scalar-tensor, Chern-Simons, Einstein-Maxwell-dilaton, and quadratic gravity.
Discussion (0). Continue with ORCID to comment.