REVIEW 9 cited by
On the reduction of generalized polylogarithms to $\text{Li}_n$ and $\text{Li}_{2,2}$ and on the evaluation thereof
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
abstract
We give expressions for all generalized polylogarithms up to weight four in terms of the functions log, $\text{Li}_n$, and $\text{Li}_{2,2}$, valid for arbitrary complex variables. Furthermore we provide algorithms for manipulation and numerical evaluation of $\text{Li}_n$ and $\text{Li}_{2,2}$, and add codes in Mathematica and C++ implementing the results. With these results we calculate a number of previously unknown integrals, which we add in App. C.
Forward citations
Cited by 9 Pith papers
-
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.
-
Multiple Clausen values and deformed Ap\'ery-like series
Deformed Apéry-like series are shown to belong to cyclotomic multiple zeta value spaces, with explicit evaluations in terms of multiple Clausen values and zeta values.
-
Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
The thesis computes three-loop and two-loop QCD corrections to Higgs processes with full quark mass dependence, including a new analytic series-expansion treatment of elliptic two-loop master integrals for Higgs-plus-...
-
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.
-
Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
The integrated double-soft eikonal function for a massive and a massless emitter at arbitrary angle is derived analytically and cross-checked with a semi-numerical subtraction method.
-
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.
-
ggxy: Fast and flexible NLO QCD corrections to gluon-initiated processes
The ggxy library implements NLO QCD corrections for gg→ZH and gg→ZZ with full top-quark mass dependence using high-energy and forward-limit expansions, validated against existing results and interfaced to POWHEG for p...
-
{\tt ggxy}: a flexible library to compute gluon-induced cross sections
A new software library, ggxy, computes NLO QCD cross sections for gg to HH and reproduces previous exact results with much shorter runtimes.
-
HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran
A Fortran implementation of the Vollinga-Weinzierl algorithm evaluates generalised polylogarithms up to weight five quickly enough for Monte Carlo integration.
Discussion (0). Continue with ORCID to comment.