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Related papers: Two-loop Renormalization Group Equations in the St…

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We determine the full set of coefficients for the completely general 4-loop gauge and 3-loop Yukawa $ \beta $-functions for the most general renormalizable four-dimensional theories. Using a complete parametrization of the $ \beta…

High Energy Physics - Phenomenology · Physics 2022-01-26 Joshua Davies , Florian Herren , Anders Eller Thomsen

We have investigated the renormalization group running of the pole mass in the multi-Higgs theory in two different types of the gauge fixing conditions. It turns out that the pole mass when expressed in terms of the Lagrangian parameters,…

High Energy Physics - Phenomenology · Physics 2018-07-04 Chungku Kim

The idea of reduction of couplings consists in the search for relations between seemingly independent couplings of a renormalizable theory that are renormalization group invariant. In this article, we demonstrate the existence of such…

High Energy Physics - Phenomenology · Physics 2025-02-06 M. A. May Pech , M. Mondragón , G. Patellis , G. Zoupanos

We present the supersymmetric standard model three-loop $\beta$-functions for gauge and Yukawa couplings and consider the effect of three-loop corrections on the standard running coupling analyses.

High Energy Physics - Phenomenology · Physics 2009-10-28 P. M. Ferreira , I. Jack , D. R. T. Jones

The scale invariant of the effective potential of the standard model at two-loop is used as a boundary condition under the assumption that the two-loop effective potential approximates the full effective potential. This condition leads with…

High Energy Physics - Phenomenology · Physics 2015-03-17 H. A. Alhendi , T. Barakat , I. Gh. Loqman

We present the results for three-loop beta-function for the Higgs self-coupling calculated within the unbroken phase of the Standard Model. We also provide the expression for three-loop beta-function of the Higgs mass parameter, which is…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. V. Bednyakov , A. F. Pikelner , V. N. Velizhanin

It is well known that in low energy supersymmetry the ratio of the gaugino mass to the gauge coupling squared, M/alpha, is renormalization group invariant to one-loop. We present a systematic analysis of the corrections to this ratio,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Graham D. Kribs

We explore a simple parameterization of new physics that results in an ultraviolet complete gauge-quark sector of the Standard Model. Specifically, we add an antiscreening contribution to the beta functions of the gauge couplings and a…

High Energy Physics - Phenomenology · Physics 2020-03-20 Reinhard Alkofer , Astrid Eichhorn , Aaron Held , Carlos M. Nieto , Roberto Percacci , Markus Schröfl

We discuss renormalization group equations (RGE) for the parameters of the Higgs sector in general Two-Higgs-Doublet Model (2HDM). We present the three-loop results but consider only contributions due to self-couplings of the Higgs…

High Energy Physics - Phenomenology · Physics 2018-11-27 A. V. Bednyakov

We compute the two-loop renormalization group equations for all soft supersymmetry-breaking couplings in a general softly broken N=1 supersymmetric model. We also specialize these results to the Minimal Supersymmetric Standard Model.

High Energy Physics - Phenomenology · Physics 2014-11-17 Stephen P. Martin , Michael T. Vaughn

We calculate the two-loop renormalization group (RG) beta-function of a massless scalar field theory from the irreducible version of Polchinski's exact RG flow equation. To obtain the correct two-loop result within this method, it is…

High Energy Physics - Theory · Physics 2009-10-31 Peter Kopietz

We analyze the renormalization group equations for the Standard Model at the one and two loops levels. At one loop level we find an exact constant of evolution built from the product of the quark masses and the gauge couplings $g_{1}$ and $…

High Energy Physics - Phenomenology · Physics 2017-03-24 S. Rebeca Juárez W. , Piotr Kielanowski , Gerardo Mora , Arno Bohm

We report about the computation of three-loop corrections to the gauge coupling beta functions in the Standard Model.

High Energy Physics - Phenomenology · Physics 2012-09-26 Luminita Mihaila , Jens Salomon , Matthias Steinhauser

We present the results for three-loop beta-functions for Yukawa couplings of heavy Standard Model fermions calculated within the unbroken phase of the model. The calculation is carried out with the help of the MINCER program in a general…

High Energy Physics - Phenomenology · Physics 2015-06-12 A. V. Bednyakov , A. F. Pikelner , V. N. Velizhanin

We analytically compute the QCD, electroweak, Higgs and third generation Yukawa contributions to the \beta-function for the Higgs self-coupling as well as for the Higgs mass parameter in the unbroken phase of the Standard Model at…

High Energy Physics - Phenomenology · Physics 2015-06-15 K. G. Chetyrkin , M. F. Zoller

In this paper the building blocks for the two-loop renormalization of the Standard Model are introduced with a comprehensive discussion of the special vertices induced in the Lagrangian by a particular diagonalization of the neutral sector…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , A. Ferroglia , G. Passarino , M. Passera

We sketch the construction of a gauge invariant Exact Renormalization Group (ERG). Starting from Polchinski's equation, the emphasis is on how a series of ideas have combined to yield the gauge invariant formalism. A novel symmetry of the…

High Energy Physics - Theory · Physics 2007-05-23 Oliver J. Rosten , Tim R. Morris , Stefano Arnone

We consider the renormalization of the one-loop effective action for the Yukawa interaction. We compute the beta functions in the generalized DeWitt-Schwinger subtraction scheme. For the quantized scalar field we obtain that all the beta…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Sergi Nadal-Gisbert , Antonio Ferreiro , José Navarro-Salas

This PhD thesis is devoted to show that differential renormalization is a simple and useful renormalization method that we can use when dealing with gauge theories. In this work, it is shown how the one-loop results of Constraint…

High Energy Physics - Theory · Physics 2007-06-27 Cesar Seijas

We perform the complete one-loop renormalization of a general two-Higgs-doublet model. We present all the vertices for this model including the ones in the scalar sector and calculate all the counterterms of the theory.

High Energy Physics - Phenomenology · Physics 2009-10-30 R. Santos , A. Barroso