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Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

Mathematical Physics · Physics 2021-02-23 Alessandro Giuliani

The renormalization group (RG) corrected gravitational action in Einstein-Hilbert and other truncations is considered. The running scale of the renormalization group is treated as a scalar field at the level of the action and determined in…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Silvije Domazet , Hrvoje Stefancic

The exact renormalization group (ERG) is formulated implementing the decimation of degrees of freedom by means of a particular momentum integration measure. The definition of this measure involves a distribution that links this decimation…

High Energy Physics - Theory · Physics 2023-01-25 Roberto Trinchero

We present a universal form of the $T$-matrices renormalized in nonperturbative regime and the ensuing notions and properties that fail conventional wisdoms. A universal scale is identified and shown to be renormalization group invariant.…

Nuclear Theory · Physics 2009-03-17 J. -F. Yang

The renormalization group (RG) is known to provide information about radiative corrections beyond the order in perturbation theory to which one has calculated explicitly. We first demonstrate the effect of the renormalization scheme used on…

High Energy Physics - Theory · Physics 2011-07-19 V. Elias , D. G. C. McKeon , T. N. Sherry

In a generic 'universal' theory of electroweak symmetry breaking, non fine-tuned heavy new physics affects the low-energy data through four parameters, which include and properly extend the generally insufficient S and T. Only by adding the…

High Energy Physics - Phenomenology · Physics 2009-10-09 Riccardo Barbieri , Alex Pomarol , Riccardo Rattazzi , Alessandro Strumia

We classify effective field theory (EFT) deformations of the Standard Model (SM) according to the analyticity property of the Lagrangian as a function of the Higgs doublet H. Our distinction in analytic and non-analytic corresponds to the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Adam Falkowski , Riccardo Rattazzi

We investigate the bounds which can be placed on generic new-physics contributions to dijet production at the LHC using the framework of the Standard Model Effective Field Theory, deriving the first consistently-treated EFT bounds from…

High Energy Physics - Phenomenology · Physics 2018-02-14 Stefan Alte , Matthias König , William Shepherd

Renormalization Group (RG) techniques have been successfully employed in quantum field theory and statistical physics. Here we apply RG methods to study the non-linear stages of structure formation in the Universe. Exact equations for the…

Astrophysics · Physics 2010-10-27 Sabino Matarrese , Massimo Pietroni

Effective field theory is an effective approach to parameterizing effects of high energy scale physics in low energy measurements. The two popular frameworks for physics beyond the standard model are the so-called standard model effective…

High Energy Physics - Phenomenology · Physics 2025-08-01 Yi Liao , Xiao-Dong Ma , Yoshiki Uchida

We study the power of a Tera-$Z$ run at FCC-ee for indirectly detecting or constraining heavy new physics. Our main finding is that nearly every new particle which matches at tree level to dimension-six operators of the Standard Model…

High Energy Physics - Phenomenology · Physics 2025-03-11 Lukas Allwicher , Matthew McCullough , Sophie Renner

I compute a renormalization group (RG) improvement to the standard beyond-linear-order Eulerian perturbation theory (PT) calculation of the power spectrum of large-scale density fluctuations in the Universe. At z=0, for a power spectrum…

Astrophysics · Physics 2008-11-26 Patrick McDonald

The exact renormalization group (ERG) is a powerful tool for understanding the formal properties of field theories. By adapting generalized ERG schemes to the flow of wavefunctionals, we obtain a large class of continuous unitary networks,…

High Energy Physics - Theory · Physics 2024-01-22 Samuel Goldman , Nima Lashkari , Robert G. Leigh , Mudassir Moosa

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

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

One of the assumptions of simplified models is that there are a few new particles and interactions accessible at the LHC and all other new particles are heavy and decoupled. The effective field theory (EFT) method provides a consistent…

High Energy Physics - Phenomenology · Physics 2021-05-05 Shekhar Adhikari , Ian M. Lewis , Matthew Sullivan

There are reasons to believe that the Standard Model is only an effective theory, with new Physics lying beyond it. Supersymmetric extensions are one possibility: they address some of the Standard Model's shortcomings, such as the…

High Energy Physics - Phenomenology · Physics 2013-10-07 Renato M. Fonseca

Generalized Effective Field Theory (GEFT) is the non-renormalizable extension of an Effective Field Theory where the Wilson coefficients are endowed by their own, independent scale dependence. Such an effective theory can be constructed by…

High Energy Physics - Theory · Physics 2020-01-08 Nikos Irges , Fotis Koutroulis

The renormalization of higher-dimensional operators in quantum field theory is essential for phenomenological analyses in particle physics, and plays a significant role in the study of critical phenomena. We present a framework for…

High Energy Physics - Phenomenology · Physics 2025-12-10 Guilherme Guedes , Jasper Roosmale Nepveu

We review the application of field-theoretic renormalization group (RG) methods to the study of fluctuations in reaction-diffusion problems. We first investigate the physical origin of universality in these systems, before comparing RG…

Statistical Mechanics · Physics 2007-05-23 Uwe C. Tauber , Martin Howard , Benjamin P. Vollmayr-Lee
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