Abstract:We compute the three-loop QCD corrections to the decoupling constant for α s which relates the Minimal Supersymmetric Standard Model to Quantum Chromodynamics with five or six active flavours. The new results can be used to study the stability of α s evaluated at a high scale from the knowledge of its value at M Z . We furthermore derive a low-energy theorem which allows the calculation of the coefficient function of the effective Higgs boson-gluon operator from the decoupling constant. This constitutes the fi… Show more
“…The three-loop results for the matching coefficients which are presented in this paper have been confirmed by an independent calculation in Ref. [29]. Note that the calculations in the paper are performed in the framework of the MSSM, however, they are in principle not limited to the minimal version and could, e.g., also be applied to the so-called Next-to-Minimal Supersymmetric Standard Model (NMSSM) where an additional singlet Higgs field is added as compared to the MSSM.…”
Section: Introductionsupporting
confidence: 82%
“…In order to select the representation which leads to the best approximation we define two quantities which we require to be small (see also Ref. [29]). The first one controls the deviation to the exact two-loop result and is defined through…”
Section: Constructing Approximation Results From Expansionsmentioning
confidence: 99%
“…Exact results can be obtained from the calculations performed in Ref. [40] but also from [29] explicit result is provided. Note that it is important to have at hand the one-loop term of ζ αs up to order since at this step C 0 1 still contains poles originating from the light degrees of freedom.…”
Section: Renormalization and Evanescent Couplingsmentioning
We compute the total cross section for the production of a light CP even Higgs boson within the framework of supersymmetric QCD up to next-to-next-to-leading order. Technical subtleties in connection to the evaluation of three-loop Feynman integrals with many mass scales are discussed in detail and explicit results for the counterterms of the evanescent couplings are provided. The new results are applied to several phenomenological scenarios which are in accordance with the recent discovery at the LHC. In a large part of the still allowed parameter space the K factor of the supersymmetric theory is close to the one of the Standard Model. However, for the case where one of the top squarks is light, a deviation of more than 5% in the next-to-next-to-leading order prediction of the cross section can be observed where at the same time the predicted Higgs boson mass has a value of about 125 GeV.
“…The three-loop results for the matching coefficients which are presented in this paper have been confirmed by an independent calculation in Ref. [29]. Note that the calculations in the paper are performed in the framework of the MSSM, however, they are in principle not limited to the minimal version and could, e.g., also be applied to the so-called Next-to-Minimal Supersymmetric Standard Model (NMSSM) where an additional singlet Higgs field is added as compared to the MSSM.…”
Section: Introductionsupporting
confidence: 82%
“…In order to select the representation which leads to the best approximation we define two quantities which we require to be small (see also Ref. [29]). The first one controls the deviation to the exact two-loop result and is defined through…”
Section: Constructing Approximation Results From Expansionsmentioning
confidence: 99%
“…Exact results can be obtained from the calculations performed in Ref. [40] but also from [29] explicit result is provided. Note that it is important to have at hand the one-loop term of ζ αs up to order since at this step C 0 1 still contains poles originating from the light degrees of freedom.…”
Section: Renormalization and Evanescent Couplingsmentioning
We compute the total cross section for the production of a light CP even Higgs boson within the framework of supersymmetric QCD up to next-to-next-to-leading order. Technical subtleties in connection to the evaluation of three-loop Feynman integrals with many mass scales are discussed in detail and explicit results for the counterterms of the evanescent couplings are provided. The new results are applied to several phenomenological scenarios which are in accordance with the recent discovery at the LHC. In a large part of the still allowed parameter space the K factor of the supersymmetric theory is close to the one of the Standard Model. However, for the case where one of the top squarks is light, a deviation of more than 5% in the next-to-next-to-leading order prediction of the cross section can be observed where at the same time the predicted Higgs boson mass has a value of about 125 GeV.
“…In Refs. [18,19] hierarchies in the occurring masses have been defined in such a way that phenomenological interesting scenarios can be studied. Furthermore, sophisticated expansion schemes have been defined which select the representation of the perturbative series with largest radius of convergence.…”
Section: Nnlo Corrections To Gg → H + X In the Mssmmentioning
confidence: 99%
“…The results of [18] have been cross-checked in Ref. [19] where a low-energy theorem has been used in order to obtain C 1 from the decoupling constant of α s .…”
Section: Nnlo Corrections To Gg → H + X In the Mssmmentioning
Abstract. In this contribution a brief review about the status of higher order corrections to Higgs boson production within the Minimal Supersymmetric Standard Model (MSSM) is given. Furthermore the first activities towards third-order corrections in the Standard Model (SM) are discussed.
In this paper we propose a method to compute the running top-Yukawa coupling in supersymmetric models with heavy mass spectrum based on the "running" and "decoupling" procedure. In order to enable this approach we compute the two-loop SUSY-QCD radiative corrections required in the decoupling process. The method has the advantage that large logarithmic corrections are automatically resummed through the Renormalization Group Equations. As phenomenological application we study the effects of this approach on the SUSY-QCD corrections to the prediction of the lightest Higgs boson mass at three-loop accuracy. We observe a significant reduction of the renormalization scale dependence as compared to the direct method, that is based on the conversion relation between the running and pole mass for the top quark. The effect of resummation of large logarithmic contributions consists in an increased prediction for the Higgs boson mass, an observation in agreement with the previous analyses.
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