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We calculate the three loop contribution to the beta-function of the gauge coupling constant in a general, anomaly-free, renormalisable gauge field theory involving a single gauge coupling using the background field method in the MSbar…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. G. M. Pickering , J. A. Gracey , D. R. T. Jones

The mass of the Higgs boson in the Split Supersymmetric Standard Model is calculated, including all one-loop threshold effects and the renormalization group evolution of the Higgs quartic coupling through two-loops. The two-loop corrections…

High Energy Physics - Phenomenology · Physics 2011-01-13 Michael Binger

We present analytical results for the leading top-Yukawa and QCD contribution to the $\beta$-function for the Higgs self-coupling $\lambda$ of the Standard Model at four-loop level, namely the part $\propto y_t^4 g_s^6$ independently…

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

The search for new physics signals in Higgs precision measurements plays a pivotal role in the High-Luminosity Large Hadron Collider (HL-LHC) and future colliders programs. The Higgs properties are expected to be measured with great…

High Energy Physics - Phenomenology · Physics 2023-09-22 E. A. Reyes R. , A. R. Fazio

We consider general renormalizable scalar field theory and derive six-loop beta functions for all parameters in d = 4 dimensions within the $\overline{MS}$-scheme. We do not explicitly compute relevant loop integrals but utilize…

High Energy Physics - Phenomenology · Physics 2021-04-28 Alexander Bednyakov , Andrey Pikelner

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

In this talk the methods and computer tools which were used in our recent calculation of the three-loop Standard Model renormalization group coefficients are discussed. A brief review of the techniques based on special features of…

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

In this work, we analyze the Higgs sector of the minimal $S(3)$-invariant extension of the Standard Model is performed. Considering three Higgs fields, which are SU(2) doublets, and CP invariant, we compute the exact and analytical physical…

High Energy Physics - Phenomenology · Physics 2014-02-28 E. Barradas-Guevara , O. Félix-Beltrán , E. Rodríguez Jáuregui

We compute the two-loop effects induced by an anomalous Higgs trilinear self-coupling in the partial decay width h to gamma Z. The computation is performed using the anomalous coupling approach working in the unitary gauge and in a theory…

High Energy Physics - Phenomenology · Physics 2020-04-22 G. Degrassi , M. Vitti

The Higgs boson effective self-couplings $\lambda_{hhh}$ and $\lambda_{HHH}$ are calculated in the framework of the Minimal Supersymmetric Standard Model (MSSM) for the complete set of one-loop diagrams with one of the Higgs bosons…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. V. Dolgopolov , Yu. P. Philippov

Could new physics first manifest itself in Higgs self-coupling measurements? In other words, how large could deviations in the Higgs self-coupling be, if other Higgs and electroweak measurements are compatible with Standard Model…

High Energy Physics - Phenomenology · Physics 2023-01-02 Gauthier Durieux , Matthew McCullough , Ennio Salvioni

Precise determination of the Higgs boson self-couplings is essential for understanding the mechanism underlying electroweak symmetry breaking. However, owing to the limited number of Higgs boson pair events at the LHC, only loose…

High Energy Physics - Phenomenology · Physics 2025-08-04 Hai Tao Li , Zong-Guo Si , Jian Wang , Xiao Zhang , Dan Zhao

This paper investigates the non-commutative version of the Abelian Higgs model at the one loop level. We find that the BRST invariance of the theory is maintained at this order in perturbation theory, rendering the theory one-loop…

High Energy Physics - Theory · Physics 2009-11-07 Frank J. Petriello

We compute the dominant two-loop corrections to the Higgs trilinear coupling $\lambda_{hhh}$ and to the Higgs quartic coupling $\lambda_{hhhh}$ in models with extended Higgs sectors, using the effective-potential approximation. We provide…

High Energy Physics - Phenomenology · Physics 2020-03-16 Johannes Braathen , Shinya Kanemura

In supersymmetric theories the Higgs boson masses are derived quantities where higher-order corrections have to be included in order to match the measured Higgs mass value at the precision of current experiments. Closely related through the…

High Energy Physics - Phenomenology · Physics 2023-02-22 Christoph Borschensky , Thi Nhung Dao , Martin Gabelmann , Margarete Mühlleitner , Heidi Rzehak

We calculate the corrections to the Higgs wave-function renormalization constant arising from modified cubic, quartic, and quintic Higgs self-couplings up to the two-loop level. Using our analytic results, we derive two-dimensional…

High Energy Physics - Phenomenology · Physics 2025-05-28 Ulrich Haisch , Aparna Sankar , Giulia Zanderighi

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 order to realize electroweak first order phase transition, a category of extended Higgs models with relatively large self-coupling constants is often considered. In such a scenario, the running coupling constants can blow up at an energy…

High Energy Physics - Phenomenology · Physics 2024-03-19 Shinya Kanemura , Yushi Mura

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 analytic calculation of the three-loop QCD $\beta$-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant guage is presented. The result for the $\beta$-function coincides with the previous…

High Energy Physics - Phenomenology · Physics 2011-05-05 S. A. Larin , J. A. M. Vermaseren