Heavy Quark Form Factors at Three Loops in the Planar Limit
J. Ablinger, J. Bl\"umlein, P. Marquard, N. Rana, C. Schneider
TL;DR
This paper presents a three-loop calculation of heavy quark form factors in perturbative QCD, employing a novel differential equations method for master integrals, with results expressed in harmonic polylogarithms.
Contribution
It introduces a new differential equations approach for evaluating master integrals in three-loop heavy quark form factors.
Findings
Analytic expressions for form factors in harmonic polylogarithms.
Application of a new method to all first order factorizing systems.
Results enhance precision in heavy quark physics calculations.
Abstract
We compute the color-planar and complete light quark non-singlet contributions to the heavy quark form factors in the case of the axialvector, scalar and pseudoscalar currents at three loops in perturbative QCD. We evaluate the master integrals applying a new method based on differential equations for general bases, which is applicable for all first order factorizing systems. The analytic results are expressed in terms of harmonic polylogarithms and real-valued cyclotomic harmonic polylogarithms.
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