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Application of the background-field method yields a gauge-invariant effective action for the electroweak Standard Model, from which simple QED-like Ward identities are derived. As a consequence of these Ward identities, the background-field…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Denner , S. Dittmaier , G. Weiglein

We show that gauge-independent terms in the one-loop and multi-loops $\beta$-functions of the Standard Model can be exactly computed from the Wetterich functional renormalization of a matrix model. Our framework is associated to the finite…

High Energy Physics - Theory · Physics 2021-01-08 Elliott Gesteau

The renormalization group is a tool that allows one to obtain a reduced description of systems with many degrees of freedom while preserving the relevant features. In the case of quantum systems, in particular, one-dimensional systems…

Quantum Physics · Physics 2009-11-13 Jose Gaite

We analyze by a renormalization method, the dynamics of a particle in a infinite square-well potential driven by an external monochromatic field. This method set up for Hamiltonian systems with two degrees of freedom allows us to analyze…

Chaotic Dynamics · Physics 2009-11-07 C. Chandre

In this paper we summarize the minimal supersymmetric standard model as well as the renormalization group equations of its parameters. We proceed to examine the feasability of the model when the breaking of supersymmetry is parametrized by…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. J. Castano , E. J. Piard , P. Ramond

We extend our previous study of the vector charmonium states within a renormalization approach with boundary conditions to the full spectrum of charmonium and bottomonium. On the light of the predicted spectrum we comply to assignments…

High Energy Physics - Phenomenology · Physics 2015-06-11 J. Segovia , D. R. Entem , F. Fernández , E. Ruiz Arriola

A general discussion of the renormalization of the quantum theory of a scalar field as an effective field theory is presented. The renormalization group equations in a mass-independent renormalization scheme allow us to identify the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Mario Atance , Jose Luis Cortes

We consider a left-right symmetric extension of the Standard Model where the spontaneous breakdown of the left-right symmetry is triggered by doublets. The electroweak $\rho$ parameter is protected from large corrections in this Doublet…

High Energy Physics - Phenomenology · Physics 2020-12-16 Véronique Bernard , Sébastien Descotes-Genon , Luiz Vale Silva

We discuss the applicability of gamma_5-dependent field renormalization as a means of renormalizing away the apparent violation of Hara's theorem observed in the quark model. It is pointed out that a result totally analogous to the…

High Energy Physics - Phenomenology · Physics 2011-09-13 P. Zenczykowski

The low-energy scattering of two charged particles is analyzed using a renormalization group approach based on dimensional regularization with power-divergence subtraction. A nontrivial solution with a marginally unstable direction is…

Nuclear Theory · Physics 2008-11-26 Shung-ichi Ando , Michael C. Birse

We consider favourable extensions of the standard model (SM) where the lepton sector contains Majorana neutrinos with vanishing left-handed mass terms, thus allowing for the see-saw mechanism to operate, and propose physical on-mass-shell…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. -P. O. Diener , B. A. Kniehl

We build a matrix model of a chiral [SU(N)]^K gauge theory (5D SQCD deconstructed down to 4D) using random unitary matrices to model chiral bifundamental fields (N,N-bar) (without (N-bar,N)). We verify the duality by matching the loop…

High Energy Physics - Theory · Physics 2009-11-11 Edoardo Di Napoli , Vadim S. Kaplunovsky

The standard demand for the quantum partition function to be invariant under the renormalization group transformation results in a general class of exact renormalization group equations, different in the form of the kernel. Physical…

High Energy Physics - Theory · Physics 2007-05-23 Stefano Arnone , Antonio Gatti , Tim R. Morris

The Coulomb gauge in QCD is the only explicitly unitary gauge. But it suffers from energy-divergences which means that it is not rigorously well-defined. One way to define it unambiguously is as the limit of a gauge interpolating between…

High Energy Physics - Theory · Physics 2021-07-07 A Andrasi , J C Taylor

We study the relationships between the basic parameters of the on-shell renormalization scheme and their counterparts in the $\overline{\mathrm{MS}}$ scheme at full order ${\cal O}(\alpha^2)$ in the Standard Model. These enter as threshold…

High Energy Physics - Phenomenology · Physics 2015-05-06 Bernd A. Kniehl , Andrey F. Pikelner , Oleg L. Veretin

We give an explicit proof that the noncommutative U(N) gauge theories are one-loop renormalizable

High Energy Physics - Theory · Physics 2009-10-31 L. Bonora , M. Salizzoni

Cosmological perturbation theory is the theory of fluctuations (scalar as well as tensor) around the inflationary cosmological background solution. It is important to understand the details of the process of renormalization in this theory.…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-15 Gaurav Goswami

The renormalization structure of two-dimensional quantum gravity is investigated, in a covariant gauge. One-loop divergences of the effective action are calculated. All the surface divergent terms are taken into account, thus completing…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Naftulin , S. D. Odintsov

After reviewing how the renormalization group equation can be used to sum logarithmic corrections to the decay rate for the semi-leptonic process b->u when using minimal subtraction, we consider renormalization scheme dependence for this…

High Energy Physics - Phenomenology · Physics 2015-12-04 D. G. C. McKeon

We consider the harmonic superspace formulation of higher-derivative $6D$, ${\cal N}=(1,0)$ supersymmetric gauge theory and its minimal coupling to a hypermultiplet. In components, the kinetic term for the gauge field in such a theory…

High Energy Physics - Theory · Physics 2021-02-03 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz
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