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In this paper, we derive the standard model with classical conformal invariance from the Yang--Mills--Higgs model in noncommutative geometry (NCG). In the ordinary context of the NCG, the {\it distance matrix} $M_{nm}$ which corresponds to…

High Energy Physics - Phenomenology · Physics 2020-05-28 Masaki J. S. Yang

A mechanism of radiatively induced breaking of the conformal symmetry in the Standard Model is suggested. The system of one scalar (Higgs) and one fermion (top-quark) fields with Yukawa and $\phi^4$ interactions is considered. The infrared…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. B. Arbuzov , V. N. Pervushin , R. G. Nazmitdinov , A. E. Pavlov , A. F. Zakharov

String-localized quantum field theory allows renormalizable couplings involving massive vector bosons, without invoking negative-norm states and compensating ghosts. We analyze the most general coupling of a massive vector boson to a scalar…

High Energy Physics - Theory · Physics 2023-02-13 Jens Mund , Karl-Henning Rehren , Bert Schroer

We consider Weyl's conformal gravity coupled to a complex matter field in Weyl geometry. It is shown that a Higgs potential naturally arises from a $\tilde R^2$ term in moving from the Jordan frame to the Einstein frame. A massless…

High Energy Physics - Theory · Physics 2021-02-03 Ichiro Oda

We construct a model of conformal gravity with Higgs field. This model has a positive Newton's constant and exhibits a novel symmetry breaking mechanism of gauge symmetries. A possible application to cosmology is briefly mentioned.

General Relativity and Quantum Cosmology · Physics 2015-05-27 Ichiro Oda

The Hamiltonian approach to the General Relativity and the Standard Model is studied in the context of its consistency with the Newton law, the Higgs effect, the Hubble cosmological evolution and the Cosmic Microwave Background radiation…

General Relativity and Quantum Cosmology · Physics 2014-11-18 L. A. Glinka , V. N. Pervushin

Just like the vector gauge bosons in the gauge theories, it is now known that gravitons acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields. The point is that we should…

High Energy Physics - Theory · Physics 2014-11-20 Ichiro Oda

The effective potential of the Higgs scalar field in the Standard Model may have a second degenerate minimum at an ultrahigh vacuum expectation value. This second minimum then determines, by radiative corrections, the values of the…

High Energy Physics - Phenomenology · Physics 2015-06-12 F. R. Klinkhamer

The Higgs mechanism may be a quantum phenomenon, i.e., a Coleman-Weinberg potential generated by the explicit breaking of scale symmetry in Feynman loops. We review the relationship of scale symmetry, trace anomalies, and emphasize the role…

High Energy Physics - Phenomenology · Physics 2014-04-23 Christopher T. Hill

The discovery of the Higgs particle at around 126 GeV has given us a big hint towards the origin of the Higgs potential. The running quartic self-coupling decreases and crosses zero somewhere in the very high energy scale. It is usually…

High Energy Physics - Phenomenology · Physics 2017-08-23 Satoshi Iso

We discuss an extension of the minimal Higgs triplet model with a classically conformal invariance and with a gauged $U(1)_{B-L}$ symmetry. In our scenario, tiny masses of neutrinos are generated by a hybrid contribution from the type-I and…

High Energy Physics - Phenomenology · Physics 2015-10-14 Hiroshi Okada , Yuta Orikasa , Kei Yagyu

We investigate the stability of Higgs potential in inverse seesaw models. We derive the full two-loop RGEs of the relevant parameters, such as the quartic Higgs self-coupling, taking thresholds into account. We find that for relatively…

High Energy Physics - Phenomenology · Physics 2021-05-04 Sanjoy Mandal , Rahul Srivastava , José W. F. Valle

Recent cosmological observations and compatible theory offer an understanding of long-mysterious dark matter and dark energy. The postulate of universal conformal local Weyl scaling symmetry, without dark matter, modifies action integrals…

General Physics · Physics 2021-09-22 R. K. Nesbet

In cases of both abelian and nonabelian gauge groups, we study the Higgs mechanism in the topologically massive gauge theories in an arbitrary space-time dimension. We show that when the conventional Higgs potential coexists with a…

High Energy Physics - Theory · Physics 2011-07-19 Ichiro Oda

We consider first the standard model Lagrangian with $\mu_h^2$ Higgs potential term set to zero. We point out that this clasically scale invariant theory potentially exhibits radiative electroweak/scale symmetry breaking with very high…

High Energy Physics - Phenomenology · Physics 2014-09-18 Robert Foot , Archil Kobakhidze , Alexander Spencer-Smith

The postulate of universal local Weyl scaling (conformal) symmetry modifies both general relativity and the Higgs scalar field model. The conformal Higgs model (CHM) acquires a cosmological effect that fits observed accelerating Hubble…

General Relativity and Quantum Cosmology · Physics 2022-02-02 R. K. Nesbet

In view of the current status of measured Higgs boson properties, we consider a question whether only the Higgs self-interactions can deviate significantly from the Standard-Model (SM) predictions. This may be possible if the Higgs…

High Energy Physics - Phenomenology · Physics 2016-11-01 Kazuhiro Endo , Yukinari Sumino

We show that both the Planck and electroweak mass scales can be generated from conformal gravity via the Coleman-Weinberg mechanism of dimensional transmutation. At the first step, the Planck scale is generated via the Coleman-Weinberg…

High Energy Physics - Theory · Physics 2018-10-17 Ichiro Oda

We pursued the question of the influence of a strong gravitational field on the structure of the Higgs effective potential in the gauge-less top-Higgs sector of the Standard Model with an additional scalar singlet. To this end, we…

High Energy Physics - Theory · Physics 2015-12-24 Olga Czerwińska , Zygmunt Lalak , Łukasz Nakonieczny

It has been suggested that electroweak symmetry breaking in the Standard Model may be natural if the Standard Model merges into a conformal field theory (CFT) at short distances. In such a scenario the Higgs mass would be protected from…

High Energy Physics - Phenomenology · Physics 2014-01-22 Gustavo Marques Tavares , Martin Schmaltz , Witold Skiba