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

Abstract

In this article, we report how to use the "plus-type" subtraction scheme to deal with endpoint divergences in $h\to \gamma \gamma$ or $gg\to h$ 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.

arXiv comment9 pages. Contribution to the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest)