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arXiv · 2101.04872

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

Geoffrey T. Bodwin·June-Haak Ee·Jungil Lee·Xiang-Peng Wang
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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 $b$-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 $\alpha_s$. We also work out the analyticity structure of the soft-quark function by making use of light-cone perturbation theory.

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Geoffrey T. Bodwin, June-Haak Ee, Jungil Lee, Xiang-Peng Wang. 2021-01-13. Analyticity, renormalization, and evolution of the soft-quark function. https://doi.org/10.1103/physrevd.104.016010

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