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arXiv · 2110.05174

Next-to-leading power SCET in Higgs amplitudes induced by light quarks

Xing Wang
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Abstract

In this article, we report how to use the "plus-type" subtraction scheme to deal with endpoint divergences in $h\rightarrow\gamma\gamma$ or $gg\rightarrow h$ amplitudes induced by light quark loop, which can be formulated by next-to-leading power (NLP) SCET. This subtraction is ensured by two re-factorization conditions, which have been proven to all orders in $\alpha_s$. Based on these conditions, cutoffs emerge naturally after some re-arrangements to handle endpoint divergences and renormalization is compatible with that. Our formalism can analytically reproduce three-loop amplitudes up to $\ln^3(-M_h^2/m_b^2-i0)$ and resum to next-to-leading logarithm and beyond.

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Xing Wang. 2021-10-11. Next-to-leading power SCET in Higgs amplitudes induced by light quarks. https://arxiv.org/abs/2110.05174

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