Transverse momentum resummation for Higgs boson produced via bb-bar fusion at hadron colliders

TL;DR

The paper addresses accurate prediction of the Higgs boson q_T distribution in Higgs production via b bbar fusion by applying a CSS-based resummation within a general-mass GM-VFN (S-ACOT) framework. It introduces heavy-quark mass corrections and a kinematical correction to properly describe both the low-q_T and large-q_T regions, and defines the W, PERT, ASY, and Y components with a b_* prescription and a universal non-perturbative function. Numerical results for Tevatron and LHC show that incorporating HQ mass and KC shifts the q_T peak to lower values and reduces high-q_T rates, yielding better agreement with PYTHIA than simpler resummation, while the Y-term remains negative due to the steep bottom-quark PDF. The work supports improved theoretical predictions for MSSM-like Higgs production through b quarks, with implications for mass reconstruction, background discrimination, and future constraints on bottom PDFs and non-perturbative effects.

Abstract

We study the impact of initial-state multiple parton radiation on transverse momentum $(q_T)$ distribution of Higgs boson produced via bottom quark fusion at hadron colliders. The shape of the resulting $q_T$ distribution is affected by the bottom-quark mass corrections and by the strong kinematical behavior of the bottom-quark parton density. We account for both features in the full range of $q_T$. To do this, we formulate the resummation calculation in a general-mass factorization (S-ACOT) scheme and introduce a correction in the resummed-term to account for the effect from large-$q_T$ kinematics of Higgs boson. The results of this resummation are compared to fixed-order and PYTHIA predictions.