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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 the last two years the renormalization group functions for the couplings and fields of the Standard Model have been computed at three-loop level. The evolution of the self-coupling $\lambda$ of the Standard Model Higgs boson is of…

High Energy Physics - Phenomenology · Physics 2014-07-25 Max F. Zoller

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 analytically compute the dominant contributions to the \beta-functions for the top-Yukawa coupling, the strong coupling and the Higgs self-coupling as well as the anomalous dimensions of the scalar, gluon and quark fields in the unbroken…

High Energy Physics - Phenomenology · Physics 2017-07-25 K. G. Chetyrkin , M. F. Zoller

The discovery of a Higgs particle has triggered numerous theoretical and experimental investigations concerning its production and decay rates and has led to interesting results concerning its interaction with fermions and gauge bosons. The…

High Energy Physics - Phenomenology · Physics 2017-07-25 M. F. Zoller

In this paper we compute the three-loop corrections to the beta functions of the three gauge couplings in the Standard Model of particle physics using the minimal subtraction scheme and taking into account Yukawa and Higgs self couplings.

High Energy Physics - Phenomenology · Physics 2015-06-03 Luminita N. Mihaila , Jens Salomon , Matthias Steinhauser

We present the results for three-loop gauge field anomalous dimensions in the SM calculated in the background field gauge within the unbroken phase of the model. The results are valid for the general background field gauge parameterized by…

High Energy Physics - Phenomenology · Physics 2013-03-21 A. V. Bednyakov , A. F. Pikelner , V. N. Velizhanin

We compute the beta functions for the three gauge couplings and the Yukawa matrices of a general two-Higgs-doublet model in the modified minimal subtraction scheme to three loops. The calculations are performed using Lorenz gauge in the…

High Energy Physics - Phenomenology · Physics 2020-04-23 Florian Herren , Luminita Mihaila , Matthias Steinhauser

Since the discovery of a Higgs particle the effective Higgs potential of the Standard Model or extensions and the stability of the ground state corresponding to its minimum at the electroweak scale have been subject to a lot of…

High Energy Physics - Phenomenology · Physics 2014-11-12 Max F. Zoller

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 investigate predictions of the trilinear Higgs self-coupling with radiative corrections in the context of the Inert Doublet Model. The triple Higgs vertex is computed at the one-loop level based on the on-shell renormalization scheme. We…

High Energy Physics - Phenomenology · Physics 2023-04-11 Jaouad El Falaki

Using a one-loop approximation for the effective potential in the Higgs model of electrodynamics for a charged scalar field, we argue for the existence of a triple point for the renormalized (running) values of the selfinteraction $\lambda$…

High Energy Physics - Theory · Physics 2007-05-23 L. V. Laperashvili , H. B. Nielsen

We present the beta functions of gauge and Yukawa couplings in general four-dimensional quantum field theory, at four and three loops, respectively. The essence of our approach is fixing unknown coefficients in the most general ansatz for…

High Energy Physics - Phenomenology · Physics 2021-07-28 Alexander Bednyakov , Andrey Pikelner

The 3-dimensional gauge-Higgs system describes the non-perturbative infrared effects of the high-temperature phase of the Standard Model. We calculate the two-loop self-energies in the 3-dimensional SU(2) Higgs model and in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Frank Eberlein

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

The leading QCD part of the four-loop contribution to the effective potential for the Standard Model Higgs field is found. As a byproduct, I also find the corresponding contribution to the four-loop beta function of the Higgs…

High Energy Physics - Phenomenology · Physics 2015-09-30 Stephen P. Martin

The effective potential of massless standard model (SM) is calculated up to three-loop order. The stability of the effective potential and the Higgs boson mass are investigated up to three-loop order. We found that, Higgs boson mass $m_{H}$…

High Energy Physics - Phenomenology · Physics 2016-05-31 H. I. Alrebdi , H. A. Alhendi , T. Barakat

We obtain the one-loop pole mass of the standard model Higgs which is invariant under the beta functions of the MS\ scheme by following the procedure in which the classical action in the broken symmetry phase was obtaind by adding the…

High Energy Physics - Phenomenology · Physics 2014-05-16 Chungku Kim

Plausible interrelations between parameters of the standard model are studied. The empirical value of the top quark mass, when used in the renormalization group equations, suggests that the ratio of the colour SU(3) gauge coupling $g_3$,…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Ananthanarayan , J. Pasupathy

In this letter we present our results for the four-loop beta-function of the strong coupling in the Standard Model of fundamental interactions. We take top-Yukawa and self-Higgs interactions into account, but neglect electroweak gauge…

High Energy Physics - Phenomenology · Physics 2016-09-14 A. V. Bednyakov , A. F. Pikelner
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