Mass dependence of Higgs production at large transverse momentum

作者:Braaten, Eric*; Zhang, Hong; Zhang, Jia-Wei
来源:The Journal of High Energy Physics, 2017, 2017(11): 127.
DOI:10.1007/JHEP11(2017)127

摘要

The transverse momentum distribution of the Higgs at large P-T is complicated by its dependence on three important energy scales: P-T, the top quark mass m(t), and the Higgs mass m(H). A strategy for simplifying the calculation of the cross section at large P-T is to calculate only the leading terms in its expansion in m(t)(2)/P-T(2) and/or m(H)(2)/P-T(2.) The expansion of the cross section in inverse powers of P-T is complicated by logarithms of P-T and by mass singularities. In this paper, we consider the top-quark loop contribution to the subprocess q (q) over bar -> H + g at leading order in alpha(s). We show that the leading power of 1/P-T(2) can be expressed in the form of a factorization formula that separates the large scale P-T from the scale of the masses. All the dependence on m(t) and m(H) can be factorized into a distribution amplitude for t (t) over bar in the Higgs, a distribution amplitude for t (t) over bar in a real gluon, and an endpoint contribution. The factorization formula can be used to simplify calculations of the P-T distribution at large P-T to next-to-leading order in alpha(s). The results are readily applied to the qg process via a straightforward analytical continuation.