BFKL and Sudakov resummation in higgs boson plus jet production with large rapidity separation

We investigate the QCD resummation for the Higgs boson plus a high $P_T$ jet production with large rapidity separations in proton–proton collisions at the LHC. The relevant Balitsky–Fadin–Kuraev–Lipatov (BFKL) and Sudakov logs are identified and resummed. In particular, we apply recent developments of the transverse momentum dependent factorization formalism in the impact factors, which provides a systematic framework to incorporate both the BFKL and Sudakov resummations.