TMD evolution and the Higgs transverse momentum distribution

TL;DR

This paper investigates how the linear polarization of gluons influences the transverse momentum distribution in Higgs production using TMD factorization, highlighting differences from CSS formalism and potential for constraining nonperturbative effects.

Contribution

It provides a detailed analysis of TMD evolution for scalar boson production, comparing scenarios with and without intrinsic gluon polarization, and discusses implications for Higgs transverse momentum predictions.

Findings

Linearly polarized gluons contribute at the percent level at Higgs mass scale without intrinsic polarization.

At quarkonium scales, contributions range from 15% to 70%, with uncertainties.

Intrinsic gluon polarization leads to slower evolution and similar percent-level effects at the Higgs scale.

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.