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I obtain the complex pole squared mass of the Z boson at full two-loop order in the Standard Model in the pure MS-bar renormalization scheme. The input parameters are the running gauge couplings, the top-quark Yukawa coupling, the Higgs…

High Energy Physics - Phenomenology · Physics 2015-08-05 Stephen P. Martin

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 renormalization method is specifically aimed at connecting theories describing physical processes at different length scales and thereby connecting different theories in the physical sciences. The renormalization method used today is…

Statistical Mechanics · Physics 2011-02-21 Leo P. Kadanoff

We use field theoretic renormalization group methods to study the critical behavior of a recently proposed Langevin equation for driven lattice gases under infinitely fast drive. We perform an expansion around the upper critical dimension,…

Statistical Mechanics · Physics 2009-10-31 F. de los Santos , Miguel A. Munoz

We analize the impact of two-loop renormalization group equations on the $SU(3)_c\times SU(2)_w\times U(1)_Y$ gauge couplings unification in various supersymmetric theories. In general the presence of superfields in higher representation…

High Energy Physics - Phenomenology · Physics 2017-09-25 Antonio Costantini

I compute the complete two-loop effective potential for the minimal supersymmetric standard model in the Landau gauge. This enables an accurate determination of the minimization conditions for the vacuum expectation values of the Higgs…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stephen P. Martin

All one-loop renormalization constants for Non-Abelian gauge theory are computed in details by using the symmetry-preserving Loop Regularization method proposed in\cite{LR1,LR2}. The resulting renormalization constants are manifestly shown…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jian-Wei Cui , Yue-Liang Wu

It is shown that the Sigma-Omega model which is widely used in the study of nuclear relativistic many-body problem can exactly be treated as an Abelian massive gauge field theory. The quantization of this theory can perfectly be performed…

Nuclear Theory · Physics 2009-11-10 Jun-Chen Su , Hai-Jhun Wanng

In the ``Type-II'' regime, $m_{\rm Higgs}\gap m_{\rm gauge}$, the finite-temperature phase transition in spontaneously-broken gauge theories (including the standard model) must be be studied using a renormalization group treatment. Previous…

High Energy Physics - Phenomenology · Physics 2009-10-22 John March-Russell

We re-analyse the perturbative radiative corrections to the Higgs mass within the Standard Model in the light of the Taylor-Lagrange renormalization scheme. This scheme naturally leads to completely finite corrections, depending on an…

High Energy Physics - Theory · Physics 2010-11-09 P. Grangé , J. -F. Mathiot , B. Mutet , E. Werner

Non-perturbative renormalisation of a general class of scalar field theories is performed at the Hartree level truncation of the 2PI effective action in the broken symmetry regime. Renormalised equations are explicitly constructed for the…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Fejos , A. Patkos , Zs. Szep

We consider the renormalisation of a softly-broken supersymmetric theory with singlet fields and a superpotential with a linear term. We show that there exist exact beta-functions for both the linear term in the superpotential and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 I. Jack , D. R. T. Jones , R. Wild

We provide the two-loop corrections to the Higgs boson masses of the CP-violating NMSSM in the Feynman diagrammatic approach with vanishing external momentum at ${\cal O} (\alpha_t \alpha_s)$. The adopted renormalization scheme is a mixture…

High Energy Physics - Phenomenology · Physics 2014-12-03 Margarete Muhlleitner , Dao Thi Nhung , Heidi Rzehak , Kathrin Walz

We propose a modification of the Nightingale renormalization group for lattice spin and gauge models by combining it with the cluster decimation approximation. Essential ingredients of our approach are: 1) exact calculation of the partition…

High Energy Physics - Lattice · Physics 2013-11-05 O. Borisenko , V. Chelnokov , V. Kushnir

We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Fuchs , J. Gegelia , G. Japaridze , S. Scherer

The Standard Model Lagrangian requires the values of the fermion masses, the Higgs mass and three other experimentally well-measured quantities as input in order to become predictive. These are typically taken to be $\alpha$, $G_\mu$ and…

High Energy Physics - Phenomenology · Physics 2016-09-01 Robin G. Stuart

We continue to study an infinite-parametric family of gauge theories with an arbitrary function of the self-dual part of the field strength as the Lagrangian. The arising one-loop divergences are computed using the background field method.…

High Energy Physics - Theory · Physics 2015-06-23 Kirill Krasnov

We reanalyze the perturbative radiative corrections to the Higgs mass within the Standard Model in the light of the Taylor-Lagrange renormalization scheme. This scheme naturally leads to completely finite corrections, depending on an…

High Energy Physics - Phenomenology · Physics 2013-12-19 Pierre Grange' , Jean-Francois Mathiot , Bruno Mutet , Ernst Werner

The renormalization group method in $R^2$-gravity without matter fields is discussed. A criterion for the existence of the renormalization constant for the metric has been found, two-loop higher order poles have been calculated, a relation…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Yu. Kalmykov

We discuss experimental implications of extending the gauge structure of the Standard Model to include an additional U(1) interaction broken at or near the weak scale. We work with the most general, renormalizable Lagrangian for the…

High Energy Physics - Phenomenology · Physics 2016-08-25 K. S. Babu , Christopher Kolda , John March-Russell