Resummation Improved Rapidity Spectrum for Gluon Fusion Higgs Production

Understand

Gluon-induced processes such as Higgs production typically exhibit large perturbative corrections.

• These partially arise from large virtual corrections to the gluon form factor, which at timelike momentum transfer contains Sudakov logarithms evaluated at negative arguments $\ln^2(-1) = -\pi^2$.
• It has been observed that resumming these terms in the timelike form factor leads to a much improved perturbative convergence for the total cross section.
• We discuss how to consistently incorporate the resummed form factor into the perturbative predictions for generic cross sections differential in the Born kinematics, including in particular the Higgs rapidity spectrum.