English

Analyticity, renormalization, and evolution of the soft-quark function

High Energy Physics - Phenomenology 2021-07-21 v3

Abstract

We compute the renormalization and evolution of the soft-quark function that appears in the factorization theorem for Higgs-boson decays to two photons through a bb-quark loop. Our computation confirms a conjecture by Liu, Mecaj, Neubert, Wang, and Fleming for the form of the renormalization and evolution of the soft-quark function in order αs\alpha_s. We also work out the analyticity structure of the soft-quark function by making use of light-cone perturbation theory.

Keywords

Cite

@article{arxiv.2101.04872,
  title  = {Analyticity, renormalization, and evolution of the soft-quark function},
  author = {Geoffrey T. Bodwin and June-Haak Ee and Jungil Lee and Xiang-Peng Wang},
  journal= {arXiv preprint arXiv:2101.04872},
  year   = {2021}
}

Comments

40 pages, 12 figures, as usual plus additional diagrams calculated, typos corrected, text improved, references added

R2 v1 2026-06-23T22:06:12.841Z