English

Massive three loop form factors in the planar limit

High Energy Physics - Phenomenology 2018-07-18 v2

Abstract

We present the color planar and complete light quark QCD contributions to the three loop heavy quark form factors in the case of vector, axial-vector, scalar and pseudo-scalar currents. We evaluate the master integrals applying a new method based on differential equations for general bases, which is applicable for any first order factorizing systems. The analytic results are expressed in terms of harmonic polylogarithms and real-valued cyclotomic harmonic polylogarithms.

Keywords

Cite

@article{arxiv.1807.05943,
  title  = {Massive three loop form factors in the planar limit},
  author = {Jakob Ablinger and Johannes Bluemlein and Peter Marquard and Narayan Rana and Carsten Schneider},
  journal= {arXiv preprint arXiv:1807.05943},
  year   = {2018}
}

Comments

10 pages; Proceedings of the Loops and Legs in Quantum Field Theory, 29th April 2018 - 4th May 2018, St. Goar, Germany; Report number modified

R2 v1 2026-06-23T03:02:54.223Z