A saddle-point expansion around the true, interacting-theory saddle point gives an analytic inverse transform of the QCD resummed form factor that matches exact numerical inversion, unlike the standard Taylor expansion around the free saddle point.
The threshold region for Higgs production in gluon fusion
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We provide a quantitative determination of the effective partonic kinematics for Higgs production in gluon fusion in terms of the collider energy at the LHC. We use the result to assess, as a function of the Higgs mass, whether the large top mass approximation is adequate and whether Sudakov resummation is advantageous. We argue that our results hold to all perturbative orders. Based on it, we conclude that the full inclusion of finite top mass corrections is likely to be important for accurate phenomenology for a light Higgs with m_H ~ 125 GeV at the LHC with sqrt{s} = 14 TeV.
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Saddle-point method for resummed form factors in QCD
A saddle-point expansion around the true, interacting-theory saddle point gives an analytic inverse transform of the QCD resummed form factor that matches exact numerical inversion, unlike the standard Taylor expansion around the free saddle point.