TMD evolution and the Higgs transverse momentum distribution

Abstract

The effect of the linear polarization of gluons on the transverse momentum distribution in Higgs production is studied within the framework of TMD factorization. For this purpose we consider the TMD evolution for general colorless scalar boson production, from the lower mass $C$-even scalar quarkonium states ${\chi }_{c0}$ and ${\chi }_{b0}$ to the Higgs mass scale. In the absence of an intrinsic nonperturbative linearly polarized gluon distribution the results correspond to the CSS formalism, indicating a rather rapid decrease with increasing energy scale. At the Higgs mass scale the contribution from linearly polarized gluons is in this case found to be on the percent level, somewhat larger than an earlier finding in the literature. At the lower mass scale of quarkonium states ${\chi }_{c0}$ and ${\chi }_{b0}$ we find contributions at the 15-70% level, albeit with considerable uncertainty. In the presence of an intrinsic linear gluon polarization, percent level effects are also found at the Higgs mass scale, but with a considerably slower evolution. Although these results were obtained using a model for the TMDs that are approximately Gaussian at small transverse momenta and have the correct perturbative power law fall off at large transverse momenta, it illustrates well the differences that can exist between results obtained from a TMD formalism as compared to a CSS formalism. The behavior of the TMDs at small $p_T$ can affect the results for all transverse momenta of the produced boson, even for a particle as heavy as the Higgs. The TMD evolution from ${\chi }_{c0}$ to ${\chi }_{b0}$ may be used to constrain the nonperturbative contributions and improve on the prediction of the effect at the Higgs mass scale.

12 pages, 5 figures, minor additions, matches version accepted for publication in Nuclear Physics B

References in corpus (6)

• QCD transverse-momentum resummation in gluon fusion processes
• Direct Probes of Linearly Polarized Gluons inside Unpolarized Hadrons
• Higgs boson production at the LHC: transverse-momentum resummation and rapidity dependence
• Angular dependences in inclusive two-hadron production at BELLE
• Gluon-gluon contributions to the production of continuum diphoton pairs at hadron colliders
• Improved resummation prediction on Higgs boson production at hadron colliders

Cited by in corpus (9)

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• Linearly polarized gluons in charmonium and bottomonium production in color octet model
• Gluon TMDs in quarkonium production
• Impact of gluon polarization on Higgs plus jet production at the LHC
• Energy evolution of T-odd gluon TMDs at small $x$
• Probing the Sivers asymmetries through $J/\psi$ photoproduction in ${\mathrm{p}}^{\uparrow }\mathrm{p}$ collision with forward proton tagging
• Non-perturbative uncertainties on the transverse momentum distribution of electroweak bosons and on the determination of the $W$ boson mass at the LHC
• Back-to-back heavy quark pair production in Semi-inclusive DIS
• Measuring the Spin and Parity of a Resonance in the Diphoton Decay Channel