Precise evaluation of $h\to c\bar{c}$ and axion-like particle production
Shi-Yuan Li, Zhen-Yang Li, Peng-Cheng Lu, Zong-Guo Si

TL;DR
This paper provides a high-precision calculation of the Higgs boson decay to charm quarks at advanced QCD and electroweak levels, enabling sensitive searches for new physics such as axion-like particles.
Contribution
It offers the first exact NNLO QCD and NLO electroweak calculation of $h o car{c}$ decay including flavor-singlet effects, and explores implications for axion-like particle production.
Findings
Precise decay rate predictions within the Standard Model.
Constraints on axion-like particles from Higgs decay data.
Insights into Yukawa coupling and running mass effects.
Abstract
We study the decay of the SM Higgs boson to a massive charm quark pair at the next-to-next-to-leading order QCD and next-to-leading order electroweak. At the second order of QCD coupling, we consider the exact calculation of flavour-singlet contributions where the Higgs boson couples to the internal top and bottom quark. Helpful information on the running mass effects related to Yukawa coupling may be obtained by analyzing this process. High precision production for within the SM makes it possible to search for new physics that may induce relatively large interactions related to the charm quark. As an example, we evaluate the axion-like particle associate production with a charm quark pair in the Higgs decay and obtain some constraints for the corresponding parameters under some assumptions.
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