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A field theoretic renormalization group method is presented which is capable of dealing with crossover problems associated with a change in the upper critical dimension. The method leads to flow functions for the parameters and coupling…

Condensed Matter · Physics 2015-06-25 Erwin Frey

We present the Standard Model Effective Field Theories (SMEFT) from purely on-shell arguments. Starting from a few basic assumptions such as Poincar\'e invariance and locality, we classify all the renormalisable and non-renormalisable…

High Energy Physics - Theory · Physics 2022-05-04 Manuel Accettulli Huber , Stefano De Angelis

We classify the physical operators of the most general bosonic effective gauge theory up to dimension six using on-shell methods. Based on this classification, we compute the complete one-loop anomalous dimension employing both on-shell…

High Energy Physics - Phenomenology · Physics 2026-05-29 Jason Aebischer , Luigi C. Bresciani , Nudzeim Selimovic

We consider scalar field theory in the D-dimensional space with nontrivial metric and local action functional of most general form. It is possible to construct for this model a generalization of renormalization procedure and RG-equations.…

High Energy Physics - Theory · Physics 2009-11-11 Yu. M. Pis'mak

We use the on-shell S-matrix and form factors to compute anomalous dimensions of higher dimension operators in the Standard Model Effective Field Theory. We find that in many instances, these computations are made simple by using the…

High Energy Physics - Phenomenology · Physics 2020-12-21 Joan Elias Miró , James Ingoldby , Marc Riembau

This is a lecture note on the renormalization group theory for field theory models based on the dimensional regularization method. We discuss the renormalization group approach to fundamental field theoretic models in low dimensions. We…

Statistical Mechanics · Physics 2018-04-10 Takashi Yanagisawa

We reconsider the complete set of four-quark operators in the Weak Effective Theory (WET) for non-leptonic $\Delta F=1$ decays that govern $s\to d$ and $b\to d, s$ transitions in the Standard Model (SM) and beyond, at the Next-to-Leading…

High Energy Physics - Phenomenology · Physics 2021-12-22 Jason Aebischer , Christoph Bobeth , Andrzej J. Buras , Jacky Kumar , Mikołaj Misiak

Leptoquarks enter in several extensions of the Standard Model as possible solutions to a number of observed anomalies. We work within the soft-collinear effective theory framework to present a detailed analysis of the decay rates of the…

High Energy Physics - Phenomenology · Physics 2022-11-17 Bianka Mecaj , Matthias Neubert

These lectures describe in detail the effective Hamiltonians for weak decays of mesons constructed by means of the operator product expansion and the renormalization group method. We calculate Wilson coeffcients of local operators, discuss…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej J. Buras

The Schrodinger equation with a two-dimensional delta-function potential is a simple example of an asymptotically free theory that undergoes dimensional transmutation. Renormalization requires the introduction of a mass scale, which can be…

Nuclear Theory · Physics 2007-05-23 Robert J. Perry , Sergio Szpigel

We argue that the sharp-cutoff Wilson renormalization group provides a powerful tool for the analysis of second-order and weakly first-order phase transitions. In particular, in a computation no harder than the calculation of the 1-loop…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mark Alford

We compute the complete one-loop renormalization group equations (RGEs) for all the four-fermion operators at dimension-8 Standard Model Effective Field Theory (SMEFT). We adopt the on-shell framework, where the RGEs are obtained from the…

High Energy Physics - Phenomenology · Physics 2025-12-29 Chao Wu , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng

We present the universal one-loop effective action for all operators of dimension up to six obtained by integrating out massive, non-degenerate multiplets. Our general expression may be applied to loops of heavy fermions or bosons, and has…

High Energy Physics - Phenomenology · Physics 2016-04-20 Aleksandra Drozd , John Ellis , Jérémie Quevillon , Tevong You

We derive an effective dimensionally reduced theory for the Standard Model augmented by a real singlet scalar. We treat the singlet as a superheavy field and integrate it out, leaving an effective theory involving only the Higgs and…

High Energy Physics - Phenomenology · Physics 2017-03-06 Tomáš Brauner , Tuomas V. I. Tenkanen , Anders Tranberg , Aleksi Vuorinen , David J. Weir

We renormalize six dimensional phi^3 theory in the modified minimal subtraction (MSbar) scheme at four loops. From the resulting beta-function, anomalous dimension and mass anomalous dimension we compute four loop critical exponents…

High Energy Physics - Theory · Physics 2015-07-10 J. A. Gracey

A global analysis of the Standard Model Effective Field Theory (SMEFT) with SFitter is performed using measurements of single top quark production and top quark decay processes from ATLAS and CMS at center-of-mass energies of 7, 8 and 13…

High Energy Physics - Phenomenology · Physics 2019-05-10 Rhea Moutafis

The search for New Physics requires ever increasing precision from experimental and theoretical efforts. Within the Standard Model Effective Field Theory (SMEFT) framework, the latest achievement in this quest has been the complete…

High Energy Physics - Phenomenology · Physics 2026-04-21 Luca Mantani , Pablo Olgoso , Alejo N. Rossia

Starting from the five-loop renormalization-group expansions for the two-dimensional Euclidean scalar \phi^4 field theory (field-theoretical version of two-dimensional Ising model), pseudo-\epsilon expansions for the Wilson fixed point…

Statistical Mechanics · Physics 2014-11-17 A. I. Sokolov

We present an automatic renormalization group equations (RGEs) solver, D7RGESolver, designed for the precise numerical solution of one-loop RGEs of dimension-7 (dim-7) operators within the standard model effective field theory (SMEFT). This…

High Energy Physics - Phenomenology · Physics 2025-08-21 Yi Liao , Xiao-Dong Ma , Hao-Lin Wang , Xiang Zhao

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
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