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Related papers: All-loop renormalization group invariants for MSSM

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The evaluation of three-loop contributions to the MSSM Higgs-boson mass is considered at the orders enhanced by the strong gauge coupling and top or bottom Yukawa couplings, i.e. at the orders…

High Energy Physics - Phenomenology · Physics 2018-09-26 Dominik Stöckinger , Josua Unger

The $\mu\nu$SSM is a simple supersymmetric extension of the Standard Model (SM) capable of predicting neutrino physics in agreement with experiment. In this paper we perform the complete one-loop renormalization of the neutral scalar sector…

High Energy Physics - Phenomenology · Physics 2018-06-21 T. Biekötter , S. Heinemeyer , C. Muñoz

We demonstrate that in non-Abelian ${\cal N}=1$ supersymmetric gauge theories the NSVZ relation is valid for terms quartic in the Yukawa couplings independently of the subtraction scheme if the renormalization group functions are defined in…

High Energy Physics - Theory · Physics 2017-05-24 V. Yu. Shakhmanov , K. V. Stepanyantz

We give an extensive description of the renormalisation of the Higgs sector of the minimal supersymmetric model in SloopS. SloopS is an automatised code for the computation of one-loop processes in the MSSM. In this paper, the first in a…

High Energy Physics - Phenomenology · Physics 2008-12-18 N. Baro , F. Boudjema , A. Semenov

We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on the renormalization group. These expressions are obtained for…

High Energy Physics - Theory · Physics 2025-02-19 Konstantin Stepanyantz

In the minimal supersymmetric model (MSSM) all Higgs self-coupling parameters are related to gauge couplings at tree-level. Leading-logarithmic radiative corrections to these quantities can be summed using renormalization group techniques.…

High Energy Physics - Phenomenology · Physics 2009-10-22 Howard E. Haber , Ralf Hempfling

Three-loop $\beta$-functions of the Minimal Supersymmetric Standard Model regularized by higher covariant derivatives are obtained for an arbitrary supersymmetric subtraction scheme. For this purpose we first calculate two-loop anomalous…

High Energy Physics - Phenomenology · Physics 2022-10-19 Olesya Haneychuk , Valentina Shirokova , Konstantin Stepanyantz

Three-loop renormalization group equations for the Higgs self-coupling and Higgs mass parameter are recalculated in the case of complex Yukawa matrices, which encompass general flavour structure of the Standard Model. In addition, the…

High Energy Physics - Phenomenology · Physics 2015-06-17 A. V. Bednyakov , A. F. Pikelner , V. N. Velizhanin

We show that a particular ``universal'' form for the soft-breaking couplings in a softly broken $N=1$ supersymmetric gauge theory is renormalisation-group invariant through two loops, provided we impose one simple condition on the…

High Energy Physics - Phenomenology · Physics 2011-07-19 I. Jack , D. R. T. Jones

Renormalization group analysis is made on the relation $m_{\rm H} \simeq \sqrt{2}m_t$ for masses of the top quark and the Higgs boson, which is predicted by the standard model based on generalized covariant derivatives with gauge and Higgs…

High Energy Physics - Phenomenology · Physics 2009-10-28 Tadatomi Shinohara , Kouzou Nishida , Hajime Tanaka , Ikuo S. Sogami

We discuss different choices that can be made when matching a general high-energy theory -- with the restriction that it should not contain heavy gauge bosons -- onto a general renormalisable effective field theory at one loop, with…

High Energy Physics - Phenomenology · Physics 2019-09-23 Johannes Braathen , Mark D. Goodsell , Pietro Slavich

We study the evolution under the renormalization group of the restrictions on the parameters of the standard model coming from Non-Commutative Geometry, namely $m_{top} = 2\,m_W$ and $m_{Higgs} = 3.14 \, m_W$. We adopt the point of view…

High Energy Physics - Theory · Physics 2016-08-14 E. Alvarez , J. M. Gracia-Bondía , C. P. Martín

We construct a manifestly gauge invariant Exact Renormalization Group for SU(N) Yang-Mills theory, in a form suitable for calculations without gauge fixing at any order of perturbation theory. The effective cutoff is incorporated via a…

High Energy Physics - Theory · Physics 2009-02-10 Stefano Arnone , Tim R. Morris , Oliver J. Rosten

We revisit the renormalisation of models with two U(1) gauge symmetries, in a formulation with non-canonical gauge kinetic terms which is covariant under field reparametrisations among the two gauge bosons. This approach is convenient to…

High Energy Physics - Phenomenology · Physics 2026-05-20 Sacha Davidson , Martin Gorbahn

Structure of quantum corrections in ${\cal N}=1$ supersymmetric gauge theories is investigated in the case of using the regularization by higher covariant derivatives. It is demonstrated that this regularization allows revealing some…

High Energy Physics - Theory · Physics 2021-11-29 Konstantin Stepanyantz

We derive the 1-loop Renormalization Group Equations for the parameters of the Minimal Supersymmetric Standard Model (MSSM) taking into account the successive decoupling of each sparticle below its threshold. This is realized by a step…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. B. Lahanas , K. Tamvakis

The partial Higgs width $\Gamma (H \longrightarrow \gamma \gamma)$ is important at the LHC for Higgs masses in the MSSM mass window up to 140 GeV as a relatively background free signal of a fundamental scalar. At the photon photon mode at…

High Energy Physics - Phenomenology · Physics 2016-08-25 Michael Melles

Two-loop renormalization group equations in the standard model are re-calculated. A new coefficient is found in the beta-function of the quartic coupling and a class of gauge invariants are found to be absent in the beta-functions of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mingxing Luo , Yong Xiao

We consider a generating set of reparametrization invariants that can be constructed from the couplings and masses entering the scalar potential of the general Two-Higgs-Doublet Model (2HDM). Being independent of higgs-basis rotations, they…

High Energy Physics - Phenomenology · Physics 2025-06-03 A. V. Bednyakov

The perturbative all-loop derivation of the NSVZ $\beta$-function for ${\cal N}=1$ supersymmetric gauge theories regularized by higher covariant derivatives is finalized by calculating the sum of singularities produced by quantum…

High Energy Physics - Theory · Physics 2020-10-28 Konstantin Stepanyantz