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PolyLogTools - Polylogs for the masses
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We review recent developments in the study of multiple polylogarithms, including the Hopf algebra of the multiple polylogarithms and the symbol map, as well as the construction of single valued multiple polylogarithms and discuss an algorithm for finding fibration bases. We document how these algorithms are implemented in the Mathematica package PolyLogTools and show how it can be used to study the coproduct structure of polylogarithmic expressions and how to compute iterated parametric integrals over polylogarithmic expressions that show up in Feynman integal computations at low loop orders.
Forward citations
Cited by 9 Pith papers
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Recursive construction of scalar one-loop integrals in dimensional regularisation
A recursion based on hyperbolic simplex volumes expresses every epsilon-expansion coefficient of scalar one-loop Feynman integrals in terms of multiple polylogarithms.
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Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order
The conservative black-hole scattering angle at fifth post-Minkowskian and second self-force order is computed in terms of K3 periods, but contains a coefficient fixed only by an ad hoc 'γ-3' prescription.
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$AdS_3 \times S^3$ Virasoro-Shapiro amplitude with KK modes
The first curvature correction to the AdS3 x S3 Virasoro-Shapiro amplitude for four arbitrary KK modes is obtained as a single-valued polylogarithm worldsheet integral, yielding new anomalous dimensions and OPE data f...
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Dihadron Angular Correlations in the $e^+e^-$ Collision
The paper derives the first complete O(alpha_s^2) analytic QCD corrections to the dihadron angular separation distribution in e+e- annihilation, with verified cancellation of infrared poles.
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Differential Equations for Energy Correlators in Any Angle
A first systematic differential equation framework for any-angle energy correlators in N=4 SYM, with four-point master integrals that include non-polylogarithmic elliptic and hyperelliptic sectors.
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Energy-Energy Correlators at Strong Coupling
The strong-coupling EEC in planar N=4 SYM is now known through λ⁻² for p=2 and through λ⁻³ᐟ² for all half-BPS operators O_p, derived independently from worldsheet and low-energy Wilson-coefficient methods.
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Angular phase-space integrals with four denominators through Mellin--Barnes
Four-denominator angular phase-space integrals are computed to O(epsilon^0) in dimensional regularization and expressed in GPLs for massless and massive momenta.
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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.
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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 ...
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