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Holographic renormalization group flows can be interpreted in terms of effective field theory. Based on such an interpretation, a formula for the running scaling dimensions of gauge-invariant operators along such flows is proposed. The…

High Energy Physics - Theory · Physics 2011-02-23 Wolfgang Mueck

Multi-scale renormalization group (RG) methods are reviewed and applied to the analysis of the effective potential for radiative symmetry breaking with multiple scalar fields, allowing an extension of the Gildener & Weinberg (GW) method…

High Energy Physics - Phenomenology · Physics 2014-11-19 T. G. Steele , Zhi-Wei Wang , D. G. C. McKeon

We present the results of two-loop calculations of the anomalous dimension matrix for the Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory for polarized and unpolarized cases. This matrix can be transformed to a triangle…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Kotikov , L. N. Lipatov , V. N. Velizhanin

We study the renormalization of the $llHH$-type Majorana neutrino mass operator in a scenario where there is a compactified extra dimension and the fields involved correspond to only the standard model particles and their Kaluza-Klein…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gautam Bhattacharyya , Srubabati Goswami , Amitava Raychaudhuri

We study the effects of renormalization due to hidden-sector dynamics on observable soft supersymmetry-breaking parameters in the minimal supersymmetric extension of the Standard Model (MSSM), under various hypotheses about their…

High Energy Physics - Phenomenology · Physics 2008-10-28 Bruce A. Campbell , John Ellis , David W. Maybury

In this article we provide the complete proof of the result announced in arXiv:1210.7717 about the construction of scale invariant non-Gaussian generalized stochastic processes over three dimensional p-adic space. The construction includes…

Probability · Mathematics 2013-02-26 Abdelmalek Abdesselam , Ajay Chandra , Gianluca Guadagni

In this work we propose improved holographic hard wall (HW) models by the inclusion of anomalous dimensions in the dual operators that describe glueballs inspired by the AdS/CFT correspondence. The anomalous dimensions come from well known…

High Energy Physics - Phenomenology · Physics 2024-04-25 Rafael A. Costa-Silva , Henrique Boschi-Filho

We study anomalous gauge-boson couplings induced by a locally SU(2) x U(1) invariant effective Lagrangian containing ten operators of dimension six built from the boson fields of the Standard Model (SM) before spontaneous symmetry breaking…

High Energy Physics - Phenomenology · Physics 2011-09-13 O. Nachtmann , F. Nagel , M. Pospischil

A search for supersymmetry anomalies requires an examination of the BRS cohomology of supersymmetric Yang-Mills coupled to chiral matter, and the physically interesting (on-shell) anomalies are those which cannot be eliminated using the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. A. Dixon

We consider a higher-derivative extension of QED modified by the addition of a gauge-invariant dimension-6 kinetic operator in the U(1) gauge sector. The Feynman diagrams at one-loop level are then computed. The modification in the spin-1…

High Energy Physics - Theory · Physics 2016-08-29 Rodrigo Turcati , Mário Júnior Neves

We derive and analytically solve renormalization group (RG) equations of gauge invariant non-local Wilson line operators which resum logarithms for event shape observables $\tau$ at subleading power in the $\tau\ll 1$ expansion. These…

High Energy Physics - Phenomenology · Physics 2019-05-22 Ian Moult , Iain W. Stewart , Gherardo Vita , Hua Xing Zhu

In this work we consider anomalous and linear holographic hard wall (HW) models for light unflavored mesons inspired by the AdS/CFT correspondence. The anomalous dimensions depend on the logarithm of the spin S of the meson state and come…

High Energy Physics - Phenomenology · Physics 2024-11-07 Rafael A. Costa-Silva , Henrique Boschi-Filho

Several perturbative computations of finite-size effects, performed on the gauge side of the AdS/CFT correspondence by means of superspace techniques, are presented. First, wrapping effects are analyzed in the standard N = 4 theory, by…

High Energy Physics - Theory · Physics 2015-05-18 Francesco Fiamberti

For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well as field anomalous dimensions are computed at three-loop order in the $\overline{\text{MS}}$ scheme.…

High Energy Physics - Theory · Physics 2021-02-19 Tom Steudtner

Using Wilsonian renormalization, we calculate the quantum correction to observable quantities, rather than the bare parameters, of the Higgs field. A physical parameter, such as a mass-squared or a quartic coupling, at an energy scale $\mu$…

High Energy Physics - Theory · Physics 2024-04-01 Kang-Sin Choi

Evanescent operators are a special class of operators that vanish in four-dimensional spacetime but are non-zero in $d=4-2\epsilon$ dimensions. In this paper, we continue our systematic study of the evanescent operators in the pure…

High Energy Physics - Theory · Physics 2023-02-14 Qingjun Jin , Ke Ren , Gang Yang , Rui Yu

The measurements of off-shell Higgs boson contributions in massive gauge boson pair production are known to probe its electroweak interactions across different energy scales. Often employed as an estimator of the Higgs boson width in…

High Energy Physics - Phenomenology · Physics 2024-06-07 Anisha , Christoph Englert , Roman Kogler , Michael Spannowsky

The anomalous dimensions of trilinear-quark operators are calculated at leading twist $t=3$ by diagonalizing the one-gluon exchange kernel of the renormalization-group type evolution equation for the nucleon distribution amplitude. This is…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Bergmann , W. Schroers , N. G. Stefanis

The use of the dimensional regularization in the on-mass-shell renormalization scheme sometimes fails to locally cancel the ultraviolet divergence for a class of diagrams in the two-loop order. The mechanism is discussed based on an example…

High Energy Physics - Phenomenology · Physics 2024-03-19 Kiyoshi Kato

We study the anomalous dimensions for scalar operators in ABJM theory in the SU(2) sector. The operators we consider have a classical dimension that grows as N in the large N limit. Consequently, the large N limit is not captured by summing…

High Energy Physics - Theory · Physics 2014-12-24 Robert de Mello Koch , Rocky Kreyfelt , Stephanie Smith