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This paper presents numerical values for auxiliary integrals and coefficients of the beta function in the three-loop approximation for a four-dimensional model with a quartic interaction, using a special type of regularization function. The…

High Energy Physics - Theory · Physics 2026-03-24 A. V. Ivanov , V. A. Nikiforov

We propose a method to determine the trilinear Higgs self coupling that is alternative to the direct measurement of Higgs pair production total cross sections and differential distributions. The method relies on the effects that electroweak…

High Energy Physics - Phenomenology · Physics 2016-12-26 Giuseppe Degrassi , Pier Paolo Giardino , Fabio Maltoni , Davide Pagani

We point out that the one-loop amplitude of the $h^0\rightarrow\gamma\gamma$ decay is gauge invariant owing to a particular relation between the trilinear couplings and the Higgs boson mass. This relation follows only from the gauge…

High Energy Physics - Phenomenology · Physics 2013-08-15 Pior H. Chankowski , Adrian Lewandowski

I present the leading 3-loop contributions to the Fermi decay constant in the Standard Model, using the tadpole-free pure $\overline{\rm{MS}}$ scheme. The calculation is exact in the limit in which the QCD coupling, the top-quark Yukawa…

High Energy Physics - Phenomenology · Physics 2025-07-23 Stephen P. Martin

Thermally reduced QCD leads to three dimensional SU(3) gaugefields coupled to an adjoint scalar field $A_0$. We compute the effective potential in the one-loop approximation and evaluate the VEV's of $TrA_0^2$ and $TrA_0^3$. In the Higgs…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Bronoff , R. Buffa , C. P. Korthals Altes

We study the three-loop gauge $\beta$-functions in general $\mathcal{N}=1$ supersymmetric gauge theories regularized by higher covariant derivatives (HCD) supplemented with Pauli--Villars subtraction. The all-structure three-loop form of…

High Energy Physics - Theory · Physics 2026-04-20 Swapnil kumar Singh

The high-temperature limit of the 2-loop effective potential for the Higgs field is calculated from an effective 3d theory, in a general covariant gauge. It is shown explicitly that a gauge-independent result can be extracted for the…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Laine

We present the first explicit calculation of leading two-loop corrections to the Higgs trilinear coupling $\lambda_{hhh}$ in models with classical scale invariance (CSI), using the effective-potential approximation. Furthermore, we also…

High Energy Physics - Phenomenology · Physics 2021-04-21 Johannes Braathen , Shinya Kanemura , Makoto Shimoda

In the case of minimal supersymmetric extension of the Standard Model (MSSM), when the pseudoscalar Higgs boson mass is less than the supersymmetry energy scale, the effective theory at the electroweak scale is a two-Higgs-doublet model. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Dubinin , A. Semenov

Both the ATLAS and CMS collaborations have reported a Standard Model Higgs-like excess at around $m_h = 125$ GeV. If an SM-like Higgs particle is discovered in this particular mass range, an important additional test of the SM electroweak…

High Energy Physics - Phenomenology · Physics 2015-06-05 Matthew J. Dolan , Christoph Englert , Michael Spannowsky

Using a one-loop renormalization group improvement for the effective potential in the Higgs model of electrodynamics with electrically and magnetically charged scalar fields, we argue for the existence of a triple (critical) point in the…

High Energy Physics - Theory · Physics 2010-05-27 L. Laperashvili , H. B. Nielsen

The physics prospect at future linear $e^+e^-$ colliders for the study of the Higgs triple self-coupling via the process of $e^+e^-$ $\rightarrow Zhh$ is investigated. The measurement of this cross section leads us to the first non-trivial…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kamoshita , Y. Okada , M. Tanaka , I. Watanabe

Recent developments in perturbative QCD, leading to the beta function in five-loop approximation are presented. In a first step the two most important decay modes of the Higgs boson are discussed: decays into a pair of gluons and,…

High Energy Physics - Phenomenology · Physics 2018-05-09 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

Feasibility of the measurement of the trilinear self-couplings of the Higgs boson is studied. Such a measurement would experimentally determine the structure of the Higgs potential. Full hadronic and semi-leptonic final states of the…

High Energy Physics - Experiment · Physics 2007-05-23 C. Castanier , P. Gay , P. Lutz , J. Orloff

We investigate the trilinear Higgs boson coupling derived from the functional forms of various extended Higgs potentials. In light of experimental constraints on Higgs boson couplings, we focus on extended Higgs models in which the…

High Energy Physics - Phenomenology · Physics 2025-11-10 Nagisa Hiroshima , Mitsuru Kakizaki , Shuhei Ohzawa

The Higgs self coupling measurement is quite essential for determining the shape of the Higgs potential and nature of the Higgs boson. We propose the di-Higgs plus jet final states at hadron colliders to increase the discovery sensitivity…

High Energy Physics - Phenomenology · Physics 2023-03-29 Kangyu Chai , Jiang-Hao Yu , Hao Zhang

The extension of the standard model to SU(3)_L x SU(3)_R x SU(3)_C is considered. Spontaneous symmetry breaking requires two Higgs field multiplets with a strong hierarchical structure of vacuum expectation values. These vacuum expectation…

High Energy Physics - Phenomenology · Physics 2013-05-30 Berthold Stech

We calculate the one-loop effective potential of a scalar field in a Robertson-Walker background with scalar metric perturbations. A complete set of orthonormal solutions of the perturbed equations is obtained by using the adiabatic…

High Energy Physics - Phenomenology · Physics 2016-11-23 Antonio L. Maroto , Francisco Prada

The production of three Higgs bosons provides a unique opportunity to probe both the trilinear and quartic Higgs couplings within the Standard Model and beyond. In this study, we investigate triple Higgs production in the Higgs Triplet…

High Energy Physics - Phenomenology · Physics 2025-03-11 Bathiya Samarakoon , Terrance M. Figy

We search for a Higgs particle with anomalous couplings in the e+e- -> H gamma, e+e- -> HZ and e+e- -> He+e- processes with the L3 detector at LEP. We explore the mass range 70GeV < m_H < 170GeV using 176pb^-1 of integrated luminosity at a…

High Energy Physics - Experiment · Physics 2012-08-27 L3 Collaboration