Abstract
Abstract
We derive a factorization theorem for the Higgs-boson production amplitude in gluon-gluon fusion induced by a light-quark loop, working at next-to-leading power in soft-collinear effective theory. The factorization is structurally similar to that obtained for the h → γγ decay amplitude induced by a light-quark loop, but additional complications arise because of external color charges. We show how the refactorization-based subtraction scheme developed in previous work leads to a factorization theorem free of endpoint divergences. We use renormalization-group techniques to predict the logarithmically enhanced terms in the three-loop gg → h form factor of order $$ {\alpha}_s^3{\ln}^k\left(-{M}_h^2/{m}_b^2\right) $$
α
s
3
ln
k
−
M
h
2
/
m
b
2
with k = 6, 5, 4, 3. We also resum the first three towers of leading logarithms, $$ {\alpha}_s^n{\ln}^{2n-k}\left(-{M}_h^2/{m}_b^2\right) $$
α
s
n
ln
2
n
−
k
−
M
h
2
/
m
b
2
with k = 0, 1, 2, to all orders of perturbation theory.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
8 articles.
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