Abstract
We investigate the QCD resummation for the Higgs boson plus a high PT 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.
Highlights
The production of a Higgs boson in association with a large transverse momentum jet is an important channel at the LHC to investigate the Higgs boson property, in particular, when they are produced with large rapidity separation [1,2,3,4,5]
In the study of the azimuthal angular distribution between the two final state particles, there exist Sudakov double logarithms in the backto-back correlation kinematics, where, for example, k1⊥ is close to q1⊥. To resum these large Sudakov type logarithms, we apply the transverse momentum dependent (TMD) factorization [15,30,31] for the impact factors in Eq (2): V h is the TMD gluon distribution, and V b is factorized into the TMD parton distribution and the soft factor associated with the final state jet
By taking into account the kinematic relation for the massless particles in the final state of the MN-dijet production, we find that s s = ssy = s2y where sy defined by the jet transverse momentum q⊥ and the rapidity difference between the two final state particles sy = q2⊥e Y
Summary
The production of a Higgs boson in association with a large transverse momentum jet is an important channel at the LHC to investigate the Higgs boson property, in particular, when they are produced with large rapidity separation [1,2,3,4,5]. We will develop a systematic framework to implement both BFKL and Sudakov resummations for the Higgs boson plus jet production with large rapidity separation at the LHC. This is crucial for phenomenological study to investigate the coupling between the Higgs boson and other particles in the Standard Model. The most important gluon radiation comes from the large rapidity separation region between the two final state particles, which generates the BFKL evolution effects and can be factorized into the factor fBFKL.
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