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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 review various effective potential methods which have been useful to compute the Higgs mass spectrum and couplings of the minimal supersymmetric standard model. We compare results where all-loop next-to-leading-log corrections are…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Quirós

We reanalyze the perturbative radiative corrections to the Higgs mass within the Standard Model in the light of the Taylor-Lagrange renormalization scheme. This scheme naturally leads to completely finite corrections, depending on an…

High Energy Physics - Phenomenology · Physics 2013-12-19 Pierre Grange' , Jean-Francois Mathiot , Bruno Mutet , Ernst Werner

We study the renormalization group flow for the Higgs self coupling in the presence of gravitational correction terms. We show that the resulting equation is equivalent to a singular linear ODE, which has explicit solutions in terms of…

High Energy Physics - Theory · Physics 2016-11-23 Christopher Estrada , Matilde Marcolli

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 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

The most general chiral Lagrangian for electroweak interactions with the complete set of $SU(2)_L\times U(1)_Y$ invariant operators up to dimension four is considered. The two-point and three-point functions with external gauge fields are…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. J. Herrero , E. Ruiz Morales

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

Two problems of the Standard Model, associated with the introduction of non-gauge interactions and with the introduction of an electromagnetic field as a linear combination of fields on which various gauge groups are implemented, are…

We review some results obtained in the context of the Collaborative Research Center/Transregio~9. In particular we discuss three-loop corrections to the Higgs boson mass in the Minimal Supersymmetric Standard Model, higher order corrections…

High Energy Physics - Phenomenology · Physics 2015-01-29 Luminita N. Mihaila , Matthias Steinhauser

We compute next-to-leading order QCD corrections to the top-bottom interference contribution to H+j production at the LHC. To achieve this, we combine the recent computation of the two-loop amplitudes for gg -> Hg and qg -> Hq, performed in…

High Energy Physics - Phenomenology · Physics 2017-06-28 Jonas M. Lindert , Kirill Melnikov , Lorenzo Tancredi , Chris Wever

We consider a Higgs boson coupled to gluons via the five-dimensional effective operator H tr G_{\mu\nu}G^{\mu\nu}. We treat H as the real part of a complex field phi that couples to the selfdual gluon field strengths and compute the…

High Energy Physics - Phenomenology · Physics 2009-02-09 E. W. N. Glover , Pierpaolo Mastrolia , Ciaran Williams

We consider dominant 3-, 4-, and 5-loop contributions to $\lambda$, the quartic scalar coupling-constant's $\beta$-function in the Standard Model. We find that these terms accelerate the evolution of $\lambda$ to nonperturbative values,…

High Energy Physics - Theory · Physics 2009-11-11 V. Elias , S. Homayouni , D. J. Jeffrey

In the dynamical gauge-Higgs unification the 4D Higgs field is unified with gauge fields and the electroweak symmetry is dynamically broken by the Hosotani mechanism. Interesting phenomenology is obtained in the Randall-Sundrum warped…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yutaka Hosotani

The mass and the decay width of a Higgs boson in the minimal standard model are evaluated by a variational method in the limit of strong self-coupling interaction. The non-perturbative technique provides an interpolation scheme between…

High Energy Physics - Phenomenology · Physics 2010-12-17 Fabio Siringo

The triviality Higgs mass bound is studied with a higher derivative regulator in the spontaneously broken phase of the four dimensional O(4) symmetric scalar field theory with quartic self-interaction. The phase diagram of the O(4) model is…

High Energy Physics - Lattice · Physics 2009-10-22 Karl Jansen , Julius Kuti , Chuan Liu

We calculate renormalized Higgs boson couplings with gauge bosons and fermions at the one-loop level in the model with an additional isospin singlet real scalar field. These coupling constants can deviate from the predictions in the…

High Energy Physics - Phenomenology · Physics 2016-05-04 Shinya Kanemura , Mariko Kikuchi , Kei Yagyu

A brief review of the role of the Higgs mechanism and the ensuing Higgs particle in the Minimal Standard Model is given. Then the property of triviality of the scalar sector in the Minimal Standard Model and the upper bound on the Higgs…

High Energy Physics - Phenomenology · Physics 2009-09-25 Urs M. Heller

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

Scalar field models of inflation based on a large nonminimal coupling to gravity xi, in particular, Higgs inflation, may violate unitarity at an energy scale ~ M_p / xi << M_p. In this case the model is incomplete at energy scales relevant…

High Energy Physics - Phenomenology · Physics 2010-12-01 Rose N. Lerner , John McDonald