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Resummation of large QCD logarithms in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi></mml:math>
We study the strong corrections to the Higgs coupling to two photons. This coupling is the dominant mechanism for Higgs boson production in photon-photon collisions. In addition, the two photon decay mode of the Higgs boson is an important and relatively background free channel of relevance at the CERN LHC …