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We provide a closed analytical form for the gauge contribution to the beta function of a generic Yukawa coupling in the limit of large $N_F$, where $N_F$ is the number of heavy vector-like fermions charged under an abelian or non-abelian…

High Energy Physics - Phenomenology · Physics 2020-05-20 Kamila Kowalska , Enrico Maria Sessolo

We compute the beta functions of the three Standard Model gauge couplings to four-loop order in the modified minimal subtraction scheme. At this order a proper definition of $\gamma_5$ in $D=4-2\epsilon$ space-time dimensions is required;…

High Energy Physics - Phenomenology · Physics 2020-02-26 Joshua Davies , Florian Herren , Colin Poole , Matthias Steinhauser , Anders Eller Thomsen

We give an effective field theory derivation, based on the running of Planck brane gauge correlators, of the large logarithms that arise in the predictions for low energy gauge couplings in compactified AdS}_5 backgrounds, including the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Walter D. Goldberger , Ira Z. Rothstein

In this work we study the main properties and the one-loop renormalization of a Yang-Mills theory in which the kinetic term contains also a fourth-order differential operator; in particular, we add to the Yang-Mills Lagrangian the most…

High Energy Physics - Theory · Physics 2017-11-13 Lorenzo Casarin

We study the one loop renormalization in the most general metric-dilaton theory with the second derivative terms only. The general theory can be divided into two classes, models of one are equivalent to conformally coupled with gravity…

High Energy Physics - Theory · Physics 2016-09-06 I. L. Shapiro , Hiroyuki Takata

We revisit the renormalization of the gauge coupling in massless QED coupled to a scaleless quadratic theory of gravity. We compare two alternative prescriptions for the running of the electric charge: (i) the conventional $\mu$-running in…

High Energy Physics - Theory · Physics 2026-05-11 M. Gomes , A. C. Lehum , A. J. da Silva

Gauge field theory with rank-one field $T_{\mu}$ is a quantum field theory that describes the interaction of elementary spin-1 particles, of which being massless to preserve gauge symmetry. In this paper, we give a generalized, extended…

General Physics · Physics 2021-09-20 B. T. T. Wong

In 3+1 space-time dimensions, fourth order derivative gravity is perturbatively renormalizable. Here it is shown that it describes a unitary theory of gravitons (with/without an additional scalar) in a limited coupling parameter space which…

High Energy Physics - Theory · Physics 2015-06-11 Gaurav Narain , Ramesh Anishetty

In unified gauge theories there exist renormalization group invariant relations among gauge and Yukawa couplings that are compatible with perturbative renormalizability, which could be considered as a Gauge-Yukawa Unification. Such…

High Energy Physics - Theory · Physics 2008-02-03 Jisuke Kubo , Myriam Mondragon , George Zoupanos

We analize the impact of two-loop renormalization group equations on the $SU(3)_c\times SU(2)_w\times U(1)_Y$ gauge couplings unification in various supersymmetric theories. In general the presence of superfields in higher representation…

High Energy Physics - Phenomenology · Physics 2017-09-25 Antonio Costantini

We study the beta functions for four-dimensional conformal gravity using two different parametrizations of metric fluctuation, linear split and exponential parametrization. We find that after imposing the traceless conditions, the beta…

High Energy Physics - Theory · Physics 2016-01-13 Nobuyoshi Ohta , Roberto Percacci

This PhD thesis is devoted to show that differential renormalization is a simple and useful renormalization method that we can use when dealing with gauge theories. In this work, it is shown how the one-loop results of Constraint…

High Energy Physics - Theory · Physics 2007-06-27 Cesar Seijas

We investigate $\beta$-functions of quantum gravity using dimensional regularisation. In contrast to minimal subtraction, a non-minimal renormalisation scheme is employed which is sensitive to power-law divergences from mass terms or…

High Energy Physics - Theory · Physics 2024-09-17 Yannick Kluth

Higher derivative theory is one of the important models of quantum gravity, renormalizable and asymptotically free within the standard perturbative approach. We consider the $4-\epsilon$ renormalization group for this theory, an approach…

High Energy Physics - Theory · Physics 2011-08-17 Guilherme de Berredo-Peixoto , Ilya L. Shapiro

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 discuss how to define and obtain the running coupling of a gauge theory in the approach of the Schwinger-Dyson equation, in order to perform a non-perturbative study of the theory. For this purpose, we introduce the nonlocally…

High Energy Physics - Phenomenology · Physics 2009-08-11 Kei-Ichi Kondo

We discuss the renormalization of higher-derivative gravity, both without and with matter fields, in terms of two primary coupling constants rather than three. A technique for determining the dependence of the Gauss-Bonnet coupling constant…

High Energy Physics - Theory · Physics 2015-04-22 Martin B. Einhorn , D. R. Timothy Jones

The question of gauge-covariance in the non-Abelian gauge-field formulation of two space-dimensional systems with spin-orbit coupling relevant to spintronics is investigated. Although, these are generally gauge-fixed models, it is found…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 M. S. Shikakhwa , S. Turgut , N. K. pak

We show that the holomorphic Wilsonian beta-function of a renormalizable asymptotically free supersymmetric gauge theory with an arbitrary semi-simple gauge group, matter content, and renormalizable superpotential is exhausted at 1-loop…

High Energy Physics - Theory · Physics 2014-11-18 Michael Graesser , Bogdan Morariu

Gravitational field is the manifestation of space-time translational ($T_4$) gauge symmetry, which enables gravitational interaction to be unified with the strong and the electroweak interactions. Such a total-unified model is based on a…

High Energy Physics - Theory · Physics 2013-09-19 Jong-Ping Hsu
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