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.
Heavy quark form factors at three loops in the planar limit / J. Ablinger, J. Blumlein, P. Marquard, N. Rana, C. Schneider. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 782(2018), pp. 528-532. [10.1016/j.physletb.2018.05.077]
Heavy quark form factors at three loops in the planar limit
N. Rana;
2018
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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