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Related papers: Gauge and Yukawa coupling beta functions of two-Hi…

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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

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

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

In this contribution we consider the recent computation of the gauge coupling $\beta$-function at four loops and the Yukawa matrix $\beta$-function at three loops in the most general, renormalizable and four-dimensional quantum field…

High Energy Physics - Phenomenology · Physics 2021-10-15 Florian Herren

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

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

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 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

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

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

We present the extension of our previous results for three-loop Yukawa coupling beta-functions to the case of complex Yukawa matrices describing the flavour structure of the SM. The calculation is carried out in the context of unbroken…

High Energy Physics - Phenomenology · Physics 2014-09-05 A. V. Bednyakov , A. F. Pikelner , V. N. Velizhanin

We compute the beta functions for the three gauge couplings of the Standard Model in the minimal subtraction scheme to three loops. We take into account contributions from all sectors of the Standard Model. The calculation is performed…

High Energy Physics - Phenomenology · Physics 2015-06-11 Luminita N. Mihaila , Jens Salomon , Matthias Steinhauser

We investigate the impact of extra vector-like GUT multiplets on the predicted value of the strong coupling. We find in particular that Yukawa couplings between such extra multiplets and the MSSM Higgs doublets can resolve the familiar…

High Energy Physics - Phenomenology · Physics 2012-08-10 Ivan Donkin , Arthur Hebecker

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

I find the three-loop contribution to the effective potential for the Standard Model Higgs field, in the approximation that the strong and top Yukawa couplings are large compared to all other couplings, using dimensional regularization with…

High Energy Physics - Phenomenology · Physics 2014-01-15 Stephen P. Martin

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

I present results for the two-loop self-energy functions for neutral and charged Higgs scalar bosons in minimal supersymmetry. The contributions given here include all terms involving the QCD coupling, and those following from Feynman…

High Energy Physics - Phenomenology · Physics 2009-11-10 Stephen P. Martin

We complete the effective potential calculation of the two-loop, top/bottom Yukawa corrections to the Higgs boson masses in the Minimal Supersymmetric Standard Model, by computing the O(at^2 + at*ab + ab^2) contributions for arbitrary…

High Energy Physics - Phenomenology · Physics 2008-11-26 Athanasios Dedes , Giuseppe Degrassi , Pietro Slavich

We compute the two-loop renormalisation group equation for the effective Higgs to gluon coupling in Standard Model Effective Field Theory. Concretely, we present the contributions generated by the operators belonging to class 3 and 7 in the…

High Energy Physics - Phenomenology · Physics 2025-10-17 Stefano Di Noi , Barbara Anna Erdelyi , Ramona Gröber
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