Next-to-leading power SCET in Higgs amplitudes induced by light quarks
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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-06-01
|
| Series: | SciPost Physics Proceedings |
| Online Access: | https://scipost.org/SciPostPhysProc.7.040 |
| Summary: | 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. |
|---|---|
| ISSN: | 2666-4003 |