On the Resummation of Large QCD Logarithms in Higgs -> 2 Photons Decay
Abstract
We study the strong corrections to the Higgs coupling to two photons. This coupling is the dominant mechanism for Higgs production in photon-photon collisions. In addition, the two photon decay mode of the Higgs is an important and relatively background free channel of relevance at the LHC and the Tevatron. We develop a method for the resummation of large QCD corrections in the form of Sudakov-like logarithms of the type αsn2n(m/mH) and αsn2n-1(m/mH) (where m is the light quark mass) which can contribute to this process in certain models (for example, the MSSM for large tan β) up to next-to-leading-logarithmic (NLL) accuracy. The NLL correction is moderate, the substantial part of which comes from terms not related to running coupling effects.
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