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Conventional gauge-fixing schemes such as R$_\xi$ gauges may lead to a violation of the Higgs-boson low-energy theorem beyond the tree level. To elucidate this fact, we study a simple model whose U(1) gauge symmetry is spontaneously broken,…

High Energy Physics - Phenomenology · Physics 2009-10-30 Apostolos Pilaftsis

This paper focuses on extending our previous discussion of an Abelian U(1) gauge theory involving infinite derivatives to a non-Abelian SU(N) case. The renormalization group equation (RGEs) of the SU(N) gauge coupling is calculated and…

High Energy Physics - Phenomenology · Physics 2021-07-07 Anish Ghoshal , Anupam Mazumdar , Nobuchika Okada , Desmond Villalba

We consider the finite temperature effective potential of the standard model at the one-loop level in four dimensions by taking account of two kinds of order parameters, the Higgs vacuum expectation value and the zero modes of gauge fields…

High Energy Physics - Theory · Physics 2014-06-11 M. Sakamoto , K. Takenaga

We consider a formalism to describe the false-vacuum decay of a scalar field in gauge theories in non-perturbative regimes. We find that the larger the gauge coupling with respect to the self-coupling of the scalar, the shallower the local…

High Energy Physics - Theory · Physics 2024-03-07 Gianluca Calcagni , Marco Frasca , Anish Ghoshal

We compute the effective potential for scalar fields in asymptotically safe quantum gravity. A scaling potential and other scaling functions generalize the fixed point values of renormalizable couplings. The scaling potential takes a…

High Energy Physics - Theory · Physics 2020-12-01 C. Wetterich

We obtain the effective potential at finite temperature within the left-right symmetric model. We take the Higgs sector to consist of two doublets and calculate its finite temperature effective potential up to the order of…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Choi , R. R. Volkas

I re-derive the lowest order effective Lagrangian for electro-weak symmetry breaking without the use of Goldstone's theorem for spontaneously broken global symmetries and without the assumption of a custodial symmetry. I consider the…

High Energy Physics - Phenomenology · Physics 2008-02-15 Stefan Weinzierl

We introduce a class of interatomic potential models that can be automatically generated from data consisting of the energies and forces experienced by atoms, derived from quantum mechanical calculations. The resulting model does not have a…

Computational Physics · Physics 2015-05-14 Albert P. Bartók , Mike C. Payne , Risi Kondor , Gábor Csányi

We consider an abelian gauge theory with spontaneously broken symmetry containing a scalar-fermion coupling which is non-linear in the Higgs field. Although in the unitary gauge it reduces to a pure Yukawa term, suggesting that the theory…

High Energy Physics - Theory · Physics 2007-05-23 Nistor Nicolaevici

We calculate the complete tadpoles and self-energies at the two-loop order for scalars in general renormalisable theories, a crucial component for calculating two-loop electroweak corrections to Higgs-boson masses or for any scalar beyond…

High Energy Physics - Phenomenology · Physics 2020-06-24 Mark D. Goodsell , Sebastian Paßehr

We consider renormalisable models extended in the scalar sector by a generic scalar field in addition to the standard model Higgs boson field, and work out the effective theory for the latter in the decoupling limit. We match the full…

High Energy Physics - Phenomenology · Physics 2015-10-28 Cheng-Wei Chiang , Ran Huo

Small-x divergences of Abelian gauge theory in the front form of Hamiltonian dynamics are regulated using a mass parameter for gauge bosons, introduced through a mechanism analogous to the spontaneous breaking of global gauge symmetry. A…

High Energy Physics - Theory · Physics 2020-01-24 Stanislaw D. Glazek

The analysis of the extremal structure of the scalar potentials of gauged maximally extended supergravity models in five, four, and three dimensions, and hence the determination of possible vacuum states of these models is a computationally…

High Energy Physics - Theory · Physics 2007-05-23 Thomas Fischbacher

The Higgs-Top model is studied by a non-perturbative variational extension of the Gaussian Effective Potential that incorporates fermions. In the limit of a very strong Yukawa coupling the one-loop result is shown to follow a…

High Energy Physics - Phenomenology · Physics 2012-11-05 Fabio Siringo

The stability of the Standard Model is determined by the true minimum of the effective Higgs potential. We show that the potential at its minimum when computed by the traditional method is strongly dependent on the gauge parameter. It…

High Energy Physics - Phenomenology · Physics 2014-12-17 Anders Andreassen , William Frost , Matthew D. Schwartz

In this paper the building blocks for the two-loop renormalization of the Standard Model are introduced with a comprehensive discussion of the special vertices induced in the Lagrangian by a particular diagonalization of the neutral sector…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , A. Ferroglia , G. Passarino , M. Passera

The measured (central) values of the Higgs and top quark masses indicate that the Standard Model (SM) effective potential develops an instability at high field values. The scale of this instability, determined as the Higgs field value at…

High Energy Physics - Phenomenology · Physics 2017-03-15 Jose R. Espinosa , Mathias Garny , Thomas Konstandin , Antonio Riotto

We derive the low energy effective theory of Gauge-Higgs unification (GHU) models in the usual four dimensional framework. We find that the theories are described by only the zero-modes with a particular renormalization condition in which…

High Energy Physics - Phenomenology · Physics 2009-11-11 Naoyuki Haba , Shigeki Matsumoto , Nobuchika Okada , Toshifumi Yamashita

We study the non-local regularization for the case of a spontaneously broken abelian gauge theory in the R_xi gauge with an arbitrary gauge parameter xi. We consider a simple abelian-Higgs model with chiral couplings as an example. We show…

High Energy Physics - Theory · Physics 2014-11-18 A. Basu , S. D. Joglekar

The Symmetry Improved Two-Particle-Irreducible (SI2PI) formalism is a powerful tool to calculate the effective potential beyond perturbation theory, whereby infinite sets of selective loop-graph topologies can be resummed in a systematic…

High Energy Physics - Phenomenology · Physics 2017-05-11 Apostolos Pilaftsis , Daniele Teresi