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The perturbative renormalization group(RG) equation is applied to resum divergent series of perturbative wave functions of quantum anharmonic oscillator. It is found that the resummed series gives the cumulant of the naive perturbation…

High Energy Physics - Theory · Physics 2009-09-25 Teiji Kunihiro

Higgs decay using an effective Higgs-Yang-Mills interaction in terms of a dimension five operator as well as usual QCD interactions is revisited in the context of Implicit Regularization (IReg) and compared with conventional dimensional…

High Energy Physics - Phenomenology · Physics 2023-01-26 Ana Pereira , Adriano Cherchiglia , Marcos Sampaio , Brigitte Hiller

We perform a renormalization group (RG) analysis of collinear hadron production in deep inelastic scattering on nuclei. We consider the limit where the parent parton energy $E$ is large, while the medium opacity $L/\lambda_g$ remains small.…

High Energy Physics - Phenomenology · Physics 2024-05-24 Weiyao Ke , Ivan Vitev

We compute the one-loop renormalisation group running of the bosonic Standard Model effective operators to order $v^4/\Lambda^4$, with $v\sim 246$ GeV being the electroweak scale and $\Lambda$ the unknown new physics threshold. We…

High Energy Physics - Phenomenology · Physics 2022-12-05 Mikael Chala , Guilherme Guedes , Maria Ramos , Jose Santiago

We propose that the enhanced Higgs quartic coupling required by radiatively broken electroweak symmetry (RBEWS) emerges naturally from SO(10) grand unification. Our previous analysis demonstrated that a coupling enhancement factor $k =…

High Energy Physics - Phenomenology · Physics 2026-04-15 Farrukh A. Chishtie

The complete analysis of a model with three quartic coupling constants associated with an O(2N)--symmetric, a cubic, and a tetragonal interactions is carried out within the three-loop approximation of the renormalization-group (RG) approach…

Condensed Matter · Physics 2009-10-30 Andrei Mudrov , Konstantin Varnashev

A renormalization-group scheme is developed for the 3-dimensional O($2N$)-symmetric Ginzburg-Landau-Wilson model, which is consistent with the use of a 1/N expansion as a systematic method of approximation. It is motivated by an application…

Statistical Mechanics · Physics 2009-11-07 Ian D. Lawrie , Dominic J. Lee

We derive the Wilsonian renormalization group equation in two dimensional ${\cal N}=2$ supersymmetric nonlinear sigma models. This equation shows that the sigma models on compact Einstein K\"{a}hler manifolds are aymptotically free. This…

High Energy Physics - Theory · Physics 2009-11-07 Kiyoshi Higashijima , Etsuko Itou

Phase equations describing the evolution of large scale modulation of spatially periodic patterns in two dimensional systems are derived by employing the renormalization group method. A general formula for phase diffusion coefficients is…

patt-sol · Physics 2009-10-30 Shin-ichi Sasa

In this paper, we revisit scalar field theories in $d$ space-time dimensions possessing $U(N)$ global symmetry. Following our recent work arXiv:1402.1430v2, we consider the generating function of correlation functions of all…

High Energy Physics - Theory · Physics 2015-01-07 Robert G. Leigh , Onkar Parrikar , Alexander B. Weiss

We derive the renormalization group evolution of the quartic scalar theory with spontaneous symmetry breaking from an alternative flow equation, obtained within the externally sourced two-particle irreducible framework due to Garbrecht and…

High Energy Physics - Theory · Physics 2019-08-07 Elizabeth Alexander , Peter Millington , Jordan Nursey , Paul M. Saffin

We present a renormalization-group (RG) analysis of dark matter interactions with the standard model, where dark matter is allowed to be a component of an electroweak multiplet, and has a mass at or below the electroweak scale. We consider,…

High Energy Physics - Phenomenology · Physics 2020-07-09 Fady Bishara , Joachim Brod , Benjamin Grinstein , Jure Zupan

We tackle the issue of renormalizability for Tensorial Group Field Theories (TGFT) including gauge invariance conditions, with the rigorous tool of multi-scale analysis, to prepare the ground for applications to quantum gravity models. In…

High Energy Physics - Theory · Physics 2014-04-04 Sylvain Carrozza , Daniele Oriti , Vincent Rivasseau

We build a toy model of the Wilson-Kogut renormalization group in one dimensional Quantum Mechanics. With it, we show how the RG flow in the space of 1-D S matrices of finite range defines, as renormalized interactions, the known four…

High Energy Physics - Theory · Physics 2009-09-25 Luis J Boya , Alejandro Rivero

We review and extend in several directions recent results on the asymptotic safety approach to quantum gravity. The central issue in this approach is the search of a Fixed Point having suitable properties, and the tool that is used is a…

High Energy Physics - Theory · Physics 2013-08-28 Alessandro Codello , Roberto Percacci , Christoph Rahmede

The on-shell renormalization scheme for the electroweak theory is well studied in the standard model(SM), but a consistent on-shell renormalization scheme for the minimal supersymmetric standard model(MSSM) is still unknown. In MSSM, we…

High Energy Physics - Phenomenology · Physics 2013-06-07 Zhao Shu-Min , Feng Tai-Fu , Wang Fang , Gao Tie-Jun , Zhang Yin-Jie

Some known constraints on Renormalization Group flow take the form of inequalities: in even dimensions they refer to the coefficient $a$ of the Weyl anomaly, while in odd dimensions to the sphere free energy $F$. In recent work…

High Energy Physics - Theory · Physics 2016-01-27 Lin Fei , Simone Giombi , Igor R. Klebanov , Grigory Tarnopolsky

The Standard Model Effective Field Theory (SMEFT) provides a powerful theoretical framework for searching for subtle deviations from the Standard Model. In this talk, we present the results from a global fit of the dimension-6 operators of…

High Energy Physics - Phenomenology · Physics 2022-12-02 Maeve Madigan

In these proceedings we briefly review the basic concepts underlying indirect bounds on the Wilson coefficients of some Standard Model dimension-6 operators, relevant to electroweak and Higgs observables, obtained via renormalization group…

High Energy Physics - Phenomenology · Physics 2014-05-16 David Marzocca

We describe in detail and extend a recently introduced nonperturbative renormalization group (RG) method for surface growth. The scale invariant dynamics which is the key ingredient of the calculation is obtained as the fixed point of a RG…

Statistical Mechanics · Physics 2009-10-31 C. Castellano , M. Marsili , M. A. Munoz , L. Pietronero
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