Abstract
The 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 m 2 t /P 2 T and/or m 2 H /P 2 T . 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 \( q\overline{q}\to H+g \) at leading order in αs. We show that the leading power of 1/P 2 T 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 \( t\overline{t} \) in the Higgs, a distribution amplitude for \( t\overline{t} \) 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.
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Braaten, E., Zhang, H. & Zhang, JW. Mass dependence of Higgs production at large transverse momentum. J. High Energ. Phys. 2017, 127 (2017). https://doi.org/10.1007/JHEP11(2017)127
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DOI: https://doi.org/10.1007/JHEP11(2017)127