Transverse momentum resummation in Higgs production
With increasing statistics at the LHC an important observable of the Higgs-like boson is its transverse momentum distribution. Its dominant contributions arise at small pT, where large logarithms log(pT/mH) need to be resummed to all orders to obtain a reliable theoretical prediction. This resummation is conveniently performed in the impact parameter space, which is Fourier conjugate to transverse momentum space. When transforming back to momentum space, well-known divergences arise from the QCD Landau pole and from vanishing impact parameter b=0. Different approaches to treat these problems exist in the literature, but no study has been carried out to assess the differences between them. We will discuss and compare these existing techniques.