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We investigate how additive weak noise (correlated as well as uncorrelated) modifies the parameters of the Gray-Scott (GS) reaction diffusion system by performing numerical simulations and applying a Renormalization Group (RG) analysis in…

Other Condensed Matter · Physics 2007-05-23 M. -P. Zorzano , D. Hochberg , F. Moran

Renormalization group methods can be applied to the nuclear many-body problem using the approach proposed by Shankar. We start with the two-body low momentum interaction V_{low k} and use the RG flow from the particle-hole channels to…

Nuclear Theory · Physics 2008-11-26 Achim Schwenk , Bengt Friman , Gerald E. Brown

We show that it is essential to include renormalisation group (RG) effects for determining the SMEFT parameter space consistent with the CDF W-mass anomaly at the matching scale. This is because operators that are only weakly…

High Energy Physics - Phenomenology · Physics 2022-04-29 Rick S. Gupta

At energies ($\sqrt{s}$) much higher than the electroweak gauge boson masses ($M$) large logarithmic corrections of the scale ratio $\sqrt{s}/M$ occur. While the electroweak Sudakov type double (DL) and universal single (SL) logarithms have…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael Melles

We explore the impact of Renormalisation Group (RG) effects in the Standard Model Effective Field Theory (SMEFT) interpretations of LHC measurements. We implement the RG running and mixing for the Wilson coefficients as obtained from the…

High Energy Physics - Phenomenology · Physics 2023-03-21 Rafael Aoude , Fabio Maltoni , Olivier Mattelaer , Claudio Severi , Eleni Vryonidou

Regularization and renormalization is discussed in the context of low-energy effective field theory treatments of two or more heavy particles (such as nucleons). It is desirable to regulate the contact interactions from the outset by…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen

Renormalization group (RG) methods, which model the way in which the effective behavior of a system depends on the scale at which it is observed, are key to modern condensed-matter theory and particle physics. We compare the ideas behind…

Quantum Physics · Physics 2013-03-14 Cédric Bény

Decoupling via the Similarity Renormalization Group (SRG) of low-energy nuclear physics from high-energy details of the nucleon-nucleon interaction is examined for two-body observables and few-body binding energies. The universal nature of…

Nuclear Theory · Physics 2008-11-26 E. D. Jurgenson , S. K. Bogner , R. J. Furnstahl , R. J. Perry

The Similarity Renormalization Group (SRG) is investigated as a powerful yet practical method to modify nuclear potentials so as to reduce computational requirements for calculations of observables. The key feature of SRG transformations…

Nuclear Theory · Physics 2009-12-16 E. D. Jurgenson

We first examine the scaling argument for a renormalization-group (RG) analysis applied to a system subject to the dimensional reduction in strong magnetic fields, and discuss the fact that a four-Fermi operator of the low-energy…

High Energy Physics - Phenomenology · Physics 2017-11-17 Koichi Hattori , Kazunori Itakura , Sho Ozaki

Self-similarity, where observables at different length scales exhibit similar behavior, is ubiquitous in natural systems. Such systems are typically characterized by power-law correlations and universality, and are studied using the…

Disordered Systems and Neural Networks · Physics 2026-01-05 Gorka Peraza Coppola , Moritz Helias , Zohar Ringel

Building on the Renormalization Group (RG) method the beam-beam interaction in circular colliders is studied. A regularized symplectic RG beam-beam map, that describes successfully the long-time asymptotic behavior of the original system…

Accelerator Physics · Physics 2007-05-23 Stephan I. Tzenov

We study the 1-loop renormalization group equation running in the simplest singlet Majoron model constructed by us earlier to accommodate the dark radiation and dark matter content in the universe. A comprehensive numerical study was…

High Energy Physics - Phenomenology · Physics 2016-07-20 We-Fu Chang , John N. Ng

We present a first-principles analysis of the renormalization group (RG) evolution of the two-point energy-energy correlator (EEC) in light-quark and gluon jets propagating through nuclear matter. Our work focuses on the analytic structure…

High Energy Physics - Phenomenology · Physics 2026-02-27 Weiyao Ke , Bianka Mecaj , Ivan Vitev

We examine how the universality of two-nucleon interactions evolved using similarity renormalization group (SRG) transformations correlates with T-matrix equivalence, with the ultimate goal of gaining insight into universality for…

Nuclear Theory · Physics 2014-01-29 B. Dainton , R. J. Furnstahl , R. J. Perry

Renormalization group (RG) methods used to soften Hamiltonians for nuclear many-body calculations change the effective resolution of the interaction. For nucleon knock-out processes, these RG transformations leave cross sections invariant,…

Nuclear Theory · Physics 2015-12-23 S. N. More , S. König , R. J. Furnstahl , K. Hebeler

We derive the renormalization group equations (RGE) for the flavour coupling matrices of the effective dimension-five operators which yield Majorana neutrino masses in the multi-Higgs-doublet Standard Model; in particular, we consider the…

High Energy Physics - Phenomenology · Physics 2011-07-19 W. Grimus , L. Lavoura

The renormalization group (RG) is a powerful theoretical framework developed to consistently transform the description of configurations of systems with many degrees of freedom, along with the associated model parameters and coupling…

Statistical Mechanics · Physics 2026-04-20 Andrea Gabrielli , Diego Garlaschelli , Subodh P. Patil , M. Ángeles Serrano

Modern techniques of the renormalization group (RG) combined with effective field theory (EFT) methods are revolutionizing nuclear many-body physics. In these lectures we will explore the motivation for RG in low-energy nuclear systems and…

Nuclear Theory · Physics 2015-06-04 R. J. Furnstahl

The operator-theoretic renormalization group (RG) methods are powerful analytic tools to explore spectral properties of field-theoretical models such as quantum electrodynamics (QED) with non-relativistic matter. In this paper these methods…

Mathematical Physics · Physics 2009-07-17 Juerg Froehlich , Marcel Griesemer , Israel Michael Sigal