Gluon distribution functions and Higgs boson production at moderate transverse momentum

Abstract

We investigate the gluon distribution functions and their contributions to the Higgs boson production in pp collisions in the transverse momentum dependent factorization formalism. In addition to the usual azimuthal symmetric transverse momentum dependent gluon distribution, we find that the azimuthal correlated gluon distribution also contributes to the Higgs boson production. This explains recent findings on the additional contribution in the transverse momentum resummation for the Higgs boson production as compared to that for electroweak boson production processes. We further examine the small-x naive k t -factorization in the dilute region and find that the azimuthal correlated gluon distribution contribution is consistently taken into account, and the result agrees with the transverse momentum dependent factorization formalism. We comment on the possible breakdown of the naive k t -factorization in the dense medium region, due to the unique behaviors for the gluon distributions.

Probing transverse momentum dependent parton distributions in charmonium and bottomonium production

“…It has been shown that h ⊥g 1 causes the imbalance of dijet in hadronic collision [21] through which an estimation of the average intrinsic transverse momentum of the partons can be obtained. It was observed that Higgs boson transverse momentum distribution at LHC has been modified by the presence of linearly polarized gluons in the unpolarized hadrons [22,23,24]. The modified transverse momentum spectrum provides a way to determine whether the Higgs is a pseudo-scalar or scalar [23].…”

Suppression of maximal linear gluon polarization in angular asymmetries

“…These findings are quite promising concerning a future extraction of h ⊥g 1 at RHIC, LHC, or a future Electron-Ion Collider (EIC). It has also been noted that h ⊥g 1 affects the angular independent transverse momentum distribution of scalar or pseudoscalar particles, such as the Higgs boson [10][11][12][13][14][15][16] or charmonium and bottomonium states [17][18][19][20][21] at LHC.…”

Average Transverse Momentum Quantities Approaching the Lightfront

“…For example, it affects the muon pair angular distribution in the DY process through the double Boer-Mulders effect [13,16,17] and also the transverse momentum distribution in Higgs production at the LHC [18,19] through the linear polarization of gluons inside unpolarized protons [20].…”