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

### Submission summary

 As Contributors: Xing Wang Arxiv Link: https://arxiv.org/abs/2110.05174v1 (pdf) Date submitted: 2021-10-12 09:35 Submitted by: Wang, Xing Submitted to: SciPost Physics Proceedings Proceedings issue: RADCOR 2021 (15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology) Academic field: Physics Specialties: High-Energy Physics - Phenomenology Approaches: Theoretical, Phenomenological

### 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.

###### Current status:
Editor-in-charge assigned