On the NLO QCD corrections to Higgs production and decay in the MSSM

Article
Report number	arXiv:0806.1495 ; CERN-PH-TH-2008-124 ; RM3-TH-08-12 ; LAPTH-1254-08 ; CERN-PH-TH-2008-124 ; LAPTH-1254-08 ; RM3-TH-2008-12
Title	On the NLO QCD corrections to Higgs production and decay in the MSSM
Author(s)	Degrassi, G. (CERN ; Rome III U. ; INFN, Rome3) ; Slavich, P. (CERN ; Annecy, LAPTH)
Publication	2008
Imprint	10 Jun 2008
Number of pages	23
In:	Nucl. Phys. B 805 (2008) 267-286
DOI	10.1016/j.nuclphysb.2008.07.022
Subject category	Particle Physics - Phenomenology
Abstract	We present explicit analytic results for the two-loop top/stop/gluino contributions to the cross section for Higgs boson production via gluon fusion in the MSSM, under the approximation of neglecting the Higgs boson mass with respect to the masses of the particles circulating in the loops. The results are obtained employing the low-energy theorem for Higgs interactions adapted to the case of particle mixing. We discuss the validity of the approximation used by computing the first-order correction in an expansion in powers of the Higgs boson mass. We find that, for the lightest CP-even Higgs boson, the gluino contribution is very well approximated by the result obtained in the limit of vanishing Higgs mass. As a byproduct of our calculation, we provide results for the two-loop QCD contributions to the photonic Higgs decay.
Copyright/License	Elsevier B.V.

$\sf Two-loop form factors ${\cal H}^{2\ell}_{h}$ and ${\cal H}^{2\ell}_{H}$ in the SPS1a$^\prime$ scenario (upper plots) and in the gluophobic scenario (lower plots). The plots on the right include only the superparticle contributions. In each plot, the solid lines refer to the result obtained in the limit of vanishing Higgs mass, while the dashed lines include also terms of ${\cal O}(m_\phi^2/M^2)$. The lines for ${\cal H}^{2\ell}_{H}$ in theSPS1a$^\prime$ scenario are truncated where $m_H \approx 2\,m_t$.$ $\sf Two-loop form factors ${\cal H}^{2\ell}_{h}$ and ${\cal H}^{2\ell}_{H}$ in the SPS1a$^\prime$ scenario (upper plots) and in the gluophobic scenario (lower plots). The plots on the right include only the superparticle contributions. In each plot, the solid lines refer to the result obtained in the limit of vanishing Higgs mass, while the dashed lines include also terms of ${\cal O}(m_\phi^2/M^2)$. The lines for ${\cal H}^{2\ell}_{H}$ in theSPS1a$^\prime$ scenario are truncated where $m_H \approx 2\,m_t$.$ $\sf Two-loop form factors ${\cal H}^{2\ell}_{h}$ and ${\cal H}^{2\ell}_{H}$ in the SPS1a$^\prime$ scenario (upper plots) and in the gluophobic scenario (lower plots). The plots on the right include only the superparticle contributions. In each plot, the solid lines refer to the result obtained in the limit of vanishing Higgs mass, while the dashed lines include also terms of ${\cal O}(m_\phi^2/M^2)$. The lines for ${\cal H}^{2\ell}_{H}$ in theSPS1a$^\prime$ scenario are truncated where $m_H \approx 2\,m_t$.$ Show more plots

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