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We consider $1/Q$ corrections to hard processes in QCD where Q is a large mass scale, concentrating on shape variables in $e^{+}e^{-}$ annihilation. While the evidence for such corrections can be and has been established by means of the…

High Energy Physics - Phenomenology · Physics 2019-08-15 R. Akhoury , V. I. Zakharov

A simple inspection of the one loop quark self-energy suggests a prescription of the CKM matrix renormalization in the standard model. It leads to a CKM matrix counterterm which is gauge parameter independent and satisfies the unitarity…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yi Liao

The conventional approach to fixed-order perturbative QCD predictions is based on an arbitrary choice of the renormalization scale, together with an arbitrary range. This {\it ad hoc} assignment of the renormalization scale causes the…

High Energy Physics - Phenomenology · Physics 2019-12-19 Xing-Gang Wu , Jian-Ming Shen , Bo-Lun Du , Xu-Dong Huang , Sheng-Quan Wang , Stanley J. Brodsky

We present some results on renormalization and factorization scale dependence of soft-gluon resummation, at the next-to-leading-logarithmic level, in the fixed-target hadro-production cross-section for prompt photons.

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlo Oleari

Tools for calculating the Renormalization Group Equations for renormalizable and non-renormalizable operators in various theories are reviewed, which are essential for comparing experimental results with predictions from models beyond the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Stefan Antusch

A key issue in making precise predictions in QCD is the uncertainty in setting the renormalization scale $\mu_R$ and thus determining the correct values of the QCD running coupling $\alpha_s(\mu_R^2)$ at each order in the perturbative…

High Energy Physics - Phenomenology · Physics 2023-11-30 Leonardo Di Giustino , Stanley J. Brodsky , Philip G. Ratcliffe , Xing-Gang Wu , Sheng-Quan Wang

We construct model-independent parametrizations of the individual QCD form factors relevant to Lambda_b --> Lambda_c l nu decays. These results follow from dispersion relations and analyticity, and incorporate an improvement in the…

High Energy Physics - Phenomenology · Physics 2008-02-03 C. Glenn Boyd , Richard F. Lebed

We reconsider the renormalization of scalar mass and point out that the quantum correction to the physical observable, as opposed to the bare parameter, of a renormalizable operator, is technically insensitive to ultraviolet physics and…

High Energy Physics - Phenomenology · Physics 2024-11-22 Kang-Sin Choi

Starting from a well defined local Lagrangian, we analyze the renormalization group equations in terms of the two different arbitrary scales associated with the regularization procedure and with the physical renormalization of the bare…

High Energy Physics - Theory · Physics 2018-10-12 Jean-François Mathiot

Leptoquarks are theoretically well-motivated and have received increasing attention in recent years as they can explain several hints for physics beyond the Standard Model. In this article, we calculate the renormalisation group evolution…

High Energy Physics - Phenomenology · Physics 2023-11-08 Sumit Banik , Andreas Crivellin

We find the emergence of strong correlations and universality on the approach to the quantum critical points of a two impurity Anderson model. The two impurities are coupled by an inter-impurity exchange interaction $J$ and direct…

Strongly Correlated Electrons · Physics 2015-06-03 Y. Nishikawa , D. J. G. Crow , A. C. Hewson

The existence of fluctuations together with interactions leads to scale-dependence in the couplings of quantum field theories for the case of quantum fluctuations, and in the couplings of stochastic systems when the fluctuations are of…

High Energy Physics - Theory · Physics 2009-10-31 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

We demonstrate that in the mass independent renormalization scheme. the renormalization group equations associated with the unphysical parameters that characterize the renormalization scheme and the mass scale leads to summation that…

High Energy Physics - Phenomenology · Physics 2020-09-28 F. A. Chishtie , D. G. C. McKeon

The QCD coupling, $\alpha_s$, is not a physical observable since it depends on conventions related to the renormalization procedure. Here we discuss a redefinition of the coupling where changes of scheme are parametrised by a single…

High Energy Physics - Phenomenology · Physics 2016-12-19 Diogo Boito , Matthias Jamin , Ramon Miravitllas

We non-perturbatively calculate the renormalization factor of the static axial vector current in O(a) improved quenched lattice QCD. Its scale dependence is mapped out in the Schroedinger functional scheme by means of a recursive…

High Energy Physics - Lattice · Physics 2009-11-07 Jochen Heitger , Martin Kurth , Rainer Sommer

The large class of inflationary models known as $\alpha$- and $\xi$-attractors gives identical cosmological predictions at tree level (at leading order in inverse power of the number of efolds). Working with the renormalization group…

High Energy Physics - Theory · Physics 2017-04-26 Jacopo Fumagalli

We present in detail the implementation of the Blaizot-M\'endez-Wschebor (BMW) approximation scheme of the nonperturbative renormalization group, which allows for the computation of the full momentum dependence of correlation functions. We…

Statistical Mechanics · Physics 2015-05-30 F. Benitez , J. -P. Blaizot , H. Chaté , B. Delamotte , R. Méndez-Galain , N. Wschebor

We investigate textbook QED in the framework of the exact renormalization group. In the strong-coupling region, we study the influence of fluctuation-induced photonic and fermionic self-interactions on the nonperturbative running of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Holger Gies , Joerg Jaeckel

The effective field theory of large-scale structure allows for a consistent perturbative bias expansion of the rest-frame galaxy density field. In this work, we present a systematic approach to renormalize galaxy bias and stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-11 Henrique Rubira , Fabian Schmidt

We apply the renormalization group optimized perturbation theory (RGOPT) to evaluate the quark contribution to the QCD pressure at finite temperatures and baryonic densities, at next-to-leading order (NLO). Our results are compared to NLO…

High Energy Physics - Phenomenology · Physics 2021-08-18 Jean-Loïc Kneur , Marcus Benghi Pinto , Tulio E. Restrepo