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By following the conventional similarity renormalization group (SRG) expansion of the Dirac equation developed in [J.-Y. Guo, Phys. Rev. C \textbf{85}, 021302 (2012)], we work out the analytic expression of the ${1}/{M^4}$ order and verify…

Nuclear Theory · Physics 2019-05-23 Yixin Guo , Haozhao Liang

The discovery of the Higgs boson by the ATLAS and CMS collaborations allowed us to precisely determine its mass being 125.09 $\pm$ 0.24GeV. This value is intriguing as it lies at the frontier between the regions of stability and…

General Physics · Physics 2017-10-02 Andrei T. Patrascu

We give the hyperasymptotic expansion of the plaquette with a precision that includes the terminant associated to the leading renormalon. Subleading effects are also considered. The perturbative series is regulated using the principal value…

High Energy Physics - Phenomenology · Physics 2020-12-30 Cesar Ayala , Xabier Lobregat , Antonio Pineda

A systematic method is proposed for analyzing the renormalization scheme uncertainties in the next-next-to-leading order QCD predicitions, based on a condition which eliminates schemes that give rise to large cancellations in the expression…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

It is shown that the renormalization group (RG) method for global analysis can be formulated in the context of the classical theory of envelopes: Several examples from partial differential equations are analyzed. The amplitude equations…

patt-sol · Physics 2008-02-03 Teiji Kunihiro

We present a renormalization group (RG) procedure which works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. This procedure integrates Kenneth…

Strongly Correlated Electrons · Physics 2016-07-05 Robert M. Konik , Yury Adamov

The critical behavior of a model describing phase transitions in 3D antiferromagnets with 2N-component real order parameters is studied within the renormalization-group (RG) approach. The RG functions are calculated in the three-loop order…

Statistical Mechanics · Physics 2009-10-31 A. I. Sokolov , K. B. Varnashev

We consider the renormalization group improvement in the theory of the Standard Model (SM) Higgs boson playing the role of an inflaton with a strong non-minimal coupling to gravity. At the one-loop level with the running of constants taken…

High Energy Physics - Phenomenology · Physics 2012-11-30 A. O. Barvinsky , A. Yu. Kamenshchik , C. Kiefer , A. A. Starobinsky , C. F. Steinwachs

The RG expansions for renormalized coupling constants g_6 and g_8 of the 3D n-vector model are calculated in the 4-loop and 3-loop approximations respectively. Resummation of the RG series for g_6 by the Pade-Borel-Leroy technique results…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Sokolov , E. V. Orlov , V. A. Ul'kov , S. S. Kashtanov

The rare exclusive decay of the Higgs boson $H \to J/\psi + \gamma$ is an important channel for measuring the Yukawa coupling of the charm quark. In this article, we analyze the process by employing the Principle of Maximum Conformality…

High Energy Physics - Phenomenology · Physics 2025-12-02 Wen-Yuan Li , Sheng-Quan Wang , Jian-Ming Shen , Hua Zhou , Xing-Gang Wu , Leonardo Di Giustino

The renormalization group method of Goldenfeld, Oono and their collaborators is applied to asymptotic analysis of vector fields. The method is formulated on the basis of the theory of envelopes, as was done for scalar fields. This…

High Energy Physics - Theory · Physics 2009-10-30 Teiji Kunihiro

We discuss a new renormalization scheme for mixing angles in extended Higgs sectors for the coming era of the Higgs precise measurements at future lepton colliders. We focus on the two Higgs doublet models (2HDMs) with a softly-broken $Z_2$…

High Energy Physics - Phenomenology · Physics 2024-12-02 Shinya Kanemura , Mariko Kikuchi , Kei Yagyu

We show how to extract the scaling behavior of quantum walks using the renormalization group (RG). We introduce the method by efficiently reproducing well-known results on the one-dimensional lattice. As a nontrivial model, we apply this…

Statistical Mechanics · Physics 2014-09-30 S. Boettcher , S. Falkner , R. Portugal

We formulate a real-space renormalization group (RG) approach for efficient numerical analysis of the low-temperature hopping dynamics in energy-disordered lattices. The approach explicitly relies on the time-scale separation of the…

Mesoscale and Nanoscale Physics · Physics 2013-09-16 Kirill A. Velizhanin , Andrei Piryatinski , Vladimir Y. Chernyak

Some renormalization group approaches have been proposed during the last few years which are close in spirit to the Nightingale phenomenological procedure. In essence, by exploiting the finite size scaling hypothesis, the approximate…

Statistical Mechanics · Physics 2015-06-25 J. A. Plascak , W. Figueiredo , B. C. S. Grandi

Renormalization group (RG) methods used to soften Hamiltonians allow large-scale computational resources to be used to greater advantage in calculations of nuclear structure and reactions. These RG transformations lower the effective…

Nuclear Theory · Physics 2013-09-24 R. J. Furnstahl

A perturbative renormalization group method is used to obtain steady-state density profiles of a particle non-conserving asymmetric simple exclusion process. This method allows us to obtain a globally valid solution for the density profile…

Statistical Mechanics · Physics 2017-04-05 Sutapa Mukherji

The renormalized mass of the bottom quark is calculated at the two loop level to order ${\cal O}(\alpha_s G_F M_t^2)$ in the $\msbar$ renormalization scheme. Different strategies for the computation are outlined. The result is applied to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Axel Kwiatkowski , Matthias Steinhauser

The Wilsonian renormalization group (RG) method is applied to finite temperature systems for the study of non-perturbative methods in the field theory. We choose the O(N) linear sigma model as the first step. Under the local potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Umekawa , K. Naito , M. Oka

We introduce a hybrid approach to applying the density matrix renormalization group (DMRG) to continuous systems, combining a grid approximation along one direction with a finite Gaussian basis set along the remaining two directions. This…

Chemical Physics · Physics 2017-08-02 E. Miles Stoudenmire , Steven R. White
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