Soft-gluon resummation for pseudoscalar Higgs boson production at hadron colliders

TL;DR

This paper delivers a threshold-resummed, NNLL-accurate prediction for pseudoscalar Higgs production via gluon fusion in the MSSM, employing the large-$M_t$ effective Lagrangian and matching to fixed-order results. The authors implement the formalism in Mellin space and present results for the LHC and Tevatron, showing that resummation modestly shifts cross sections but significantly stabilizes the scale dependence, achieving about 10% theoretical uncertainty. The work confirms favorable convergence behavior and provides the THIGRES tool for practical, high-precision predictions of MSSM Higgs production. These results enhance the reliability of Higgs searches and MSSM parameter-space tests at hadron colliders, especially in the low $\tan\beta$ regime where the approximation is most valid.

Abstract

We compute the threshold-resummed cross section for pseudo-scalar MSSM Higgs boson production by gluon fusion at hadron colliders. The calculation is performed at next-to-next-to leading logarithmic accuracy. We present results for both the LHC and Tevatron Run II. We analyze the factorization and renormalization scale dependence of the results, finding that after performing the resummation the corresponding cross section can be computed with an accuracy better than 10%.

Figures (7)

• Figure 1: tan $\beta \,$ dependence of the Higgs production Born cross section at the LHC for $M_A=115$ GeV, in the infinite top mass limit (dots), including top mass effects (dashes) and both top and bottom mass effects (solid) .
• Figure 2: Scale dependence of the Higgs production cross section at the LHC for $M_A=150$ GeV, tan $\beta \,$$=3$, at LO (dots), NLO (dashes) and NNLO (solid).
• Figure 3: Scale dependence of the Higgs production cross section at the LHC for $M_A=150$ GeV, tan $\beta \,$$=3$, at LL (dots), NLL (dashes) and NNLL (solid).
• Figure 4: Scale dependence of the Higgs production cross section at the Tevatron for $M_A$=150 GeV, tan $\beta \,$$= 5$, at LO (dots), NLO (dashes) and NNLO (solid).
• Figure 5: Scale dependence of the Higgs production cross section at the Tevatron for $M_A=150$ GeV, tan $\beta \,$$= 5$, at LL (dots), NLL (dashes) and NNLL (solid).