English

Evaluating master integrals in non-factorizable corrections to $t$-channel single-top production at NNLO QCD

High Energy Physics - Phenomenology 2023-07-12 v2 High Energy Physics - Theory

Abstract

We studied the two-loop non-factorizable Feynman diagrams for the tt-channel single-top production process in quantum chromodynamics. We present a systematic computation of master integrals of the two-loop Feynman diagrams with one internal massive propagator in which a complete uniform transcendental basis can be built. The master integrals are derived by means of canonical differential equations and uniform transcendental integrals. The results are expressed in the form of Goncharov polylogarithm functions, whose variables are the scalar products of external momenta, as well as the masses of the top quark and the WW boson. We also gave a discussion on the diagrams with potential elliptic sectors.

Keywords

Cite

@article{arxiv.2303.08814,
  title  = {Evaluating master integrals in non-factorizable corrections to $t$-channel single-top production at NNLO QCD},
  author = {Zihao Wu and Ming-Ming Long},
  journal= {arXiv preprint arXiv:2303.08814},
  year   = {2023}
}

Comments

solving the differential equations and perform numerical checks in physical region