The Higgs transverse momentum spectrum with finite quark masses beyond leading order

We apply the leading-log high-energy resummation technique recently derived by some of us to the transverse momentum distribution for production of a higgs boson in gluon fusion. we use our results to obtain information on mass-dependent corrections to this observable, which is only known at leading order when exact mass dependence is included. in the low p t region we discuss the all-order exponentiation of collinear bottom mass logarithms. in the high p t region we show that the infinite top mass approximation loses accuracy as a power of p t, while the accuracy of the high-energy approximation is approximately constant as p t grows. we argue that a good approximation to the nlo result for p t ≳ 200 gev can be obtained by combining the full lo result with a k-factor computed using the high-energy approximation.