LAUSR

A bstractThe transverse momentum distribution of the Higgs at large PT is complicated by its dependence on three important energy scales: PT, the top quark mass mt, and the Higgs mass mH. A strategy for simplifying the calculation of the cross section at large PT is to calculate only the leading terms in its expansion in mt2/PT2 and/or mH2/PT2. The expansion of the cross section in inverse powers of PT is complicated by logarithms of PT and by mass singularities. In this paper, we consider the top-quark loop contribution to the subprocess qq¯→H+g$$ q\overline{q}\to H+g $$ at leading order in αs. We show that the leading power of 1/PT2 can be expressed in the form of a factorization formula that separates the large scale PT from the scale of the masses. All the dependence on mt and mH can be factorized into a distribution amplitude for tt¯$$ t\overline{t} $$ in the Higgs, a distribution amplitude for tt¯$$ t\overline{t} $$ in a real gluon, and an endpoint contribution. The factorization formula can be used to simplify calculations of the PT distribution at large PT to next-to-leading order in αs. The results are readily applied to the qg process via a straightforward analytical continuation.