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arXiv · 2408.17448

Two-loop QCD corrections to Higgs radiative decay to vector quarkonium

Yu Jia·Zhewen Mo·Jia-Yue Zhang
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Abstract

The exclusive production of $J/ψ$ through Higgs boson radiative decay may serve a clean channel to extracting the charm quark Yukawa coupling. We calculate the two-loop QCD corrections to $H\rightarrow J/ψ(Υ)+γ$ using an optimized nonrelativistic QCD (NRQCD) approach. We compute the ${\cal O}(α_s^2)$ correction in the direct channel, where Higgs directly couples to $c\bar{c}$, as well as the ${\cal O}(α_s)$ correction in the indirect channel, {\it viz.}, $H\toγ^*γ$ followed by the virtual photon fragmentation into $J/ψ$. Incorporating the destructive interference between the direct and indirect channels, we present to date the most accurate predictions for Higgs boson radiative decay into vector quarkonium, $\mathcal{B}(H\rightarrow J/ψ+γ) = 3.27_{-0.07}^{+0.30}{}^{+0.06}_{-0.06}{}_{-0.13}^{+0.13}\times 10^{-6}$, and $\mathcal{B}(H\rightarrow Υ+γ)= 1.34_{-0.31}^{+0.75}{}^{+0.25}_{-0.20}{}^{+0.05}_{-0.05}\times 10^{-8}$.

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Yu Jia, Zhewen Mo, Jia-Yue Zhang. 2024-08-30. Two-loop QCD corrections to Higgs radiative decay to vector quarkonium. https://arxiv.org/abs/2408.17448

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