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We derive a universal formula for the one-loop renormalization of the effective K\"ahler potential that applies to general supersymmetric effective field theories of chiral multiplets, with arbitrary interactions respecting N=1…

High Energy Physics - Theory · Physics 2012-05-17 Raphael Flauger , Simeon Hellerman , Cornelius Schmidt-Colinet , Matthew Sudano

The Standard Model effective field theory (SMEFT) is the tool of choice for studying deviations of Higgs couplings from the Standard Model predictions. The SMEFT is an expansion in an infinite tower of higher dimension operators, which is…

High Energy Physics - Phenomenology · Physics 2023-05-12 Sally Dawson , Duarte Fontes , Samuel Homiller , Matthew Sullivan

Effective potential for scalar $\lambda\phi^4$ theory is obtained using the exact renormalization group method which includes both the usual one-loop contribution as well as the dominant higher loop effects. Our numerical calculation…

High Energy Physics - Theory · Physics 2009-09-25 Sen-Ben Liao , Chengqian Gong

We compute the two-loop renormalisation group equation for the effective Higgs to gluon coupling in Standard Model Effective Field Theory. Concretely, we present the contributions generated by the operators belonging to class 3 and 7 in the…

High Energy Physics - Phenomenology · Physics 2025-10-17 Stefano Di Noi , Barbara Anna Erdelyi , Ramona Gröber

We study analytically the general features of electroweak symmetry breaking in the context of the Minimal Supersymmetric Standard Model extended by one Higgs singlet. The exact analytical forms of the renormalization group evolutions of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Mambrini , G. Moultaka , M. Rausch de Traubenberg

We present general four-loop template $\beta$-functions and anomalous field dimensions for renormalisable scalar-fermion theories in three dimensions. By imposing $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry, we obtain relations…

High Energy Physics - Theory · Physics 2025-12-03 York Schröder , Emmanuel Stamou , Tom Steudtner , Max Uetrecht

We extend the low-energy effective field theory relevant for b to s transitions up to operators of mass-dimension 7 and compute the associated anomalous-dimension matrix. We then compare our findings to the known results for dimension 6…

High Energy Physics - Phenomenology · Physics 2014-02-12 Guillaume Chalons , Florian Domingo

We extend the geometric framework of field-space covariance for loop computations, thereby unifying the treatment of scalars, fermions, and gauge bosons in effective field theories. This allows us to derive a manifestly covariant formula…

High Energy Physics - Phenomenology · Physics 2025-04-28 Benoît Assi , Andreas Helset , Julie Pagès , Chia-Hsien Shen

The Python package pylimer-tools is a comprehensive toolkit for computational studies of polymer networks, particularly bead-spring networks. The package provides functionality to generate polymer networks using Monte Carlo (MC) procedures…

Soft Condensed Matter · Physics 2025-08-18 Tim Bernhard , Fabian Schwarz , Andrei A. Gusev

Using functional renormalization methods, we study the one-loop renormalization group evolution of theories with four scalars, at second order in the derivative expansion, in which electroweak symmetry is nonlinearly realized. In this…

High Energy Physics - Theory · Physics 2014-09-09 Mahmoud Safari

This is the third of a series of works (arxiv:2106.05291, arxiv:2205.03301) aimed at renormalizing the Standard Model effective field theory at one loop and to order $1/\Lambda^4$, with $\Lambda$ being the new physics cut-off. On this…

High Energy Physics - Phenomenology · Physics 2024-09-25 S. D. Bakshi , M. Chala , Á. Díaz-Carmona , Z. Ren , F. Vilches

In this paper the building blocks for the two-loop renormalization of the Standard Model are introduced with a comprehensive discussion of the special vertices induced in the Lagrangian by a particular diagonalization of the neutral sector…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , A. Ferroglia , G. Passarino , M. Passera

The purpose of this paper is (i) to present a generic and fully functional implementation of the density-matrix renormalization group (DMRG) algorithm, and (ii) to describe how to write additional strongly-correlated electron models and…

Strongly Correlated Electrons · Physics 2015-05-13 G. Alvarez

We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used…

High Energy Physics - Phenomenology · Physics 2020-12-02 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

We implement electroweak renormalisation schemes involving the effective weak mixing angle to NLO in Standard Model Effective Field Theory (SMEFT). After developing the necessary theoretical machinery, we analyse a select set of electroweak…

High Energy Physics - Phenomenology · Physics 2023-12-15 Anke Biekötter , Benjamin D. Pecjak , Tommy Smith

The generalized Wilson loop operator interpolating between the supersymmetric and the ordinary Wilson loop in ${\cal N}=4$ SYM theory provides an interesting example of renormalization group flow on a line defect: the scalar coupling…

High Energy Physics - Theory · Physics 2022-06-22 Matteo Beccaria , Simone Giombi , Arkady Tseytlin

The renormalization method is specifically aimed at connecting theories describing physical processes at different length scales and thereby connecting different theories in the physical sciences. The renormalization method used today is…

Statistical Mechanics · Physics 2011-02-21 Leo P. Kadanoff

A powerful aspect of effective field theories is connecting scales through renormalisation group (RG) flow. The anomalous dimension matrix of the Standard Model Effective Field Theory (SMEFT) encodes clues to where to find relics of heavy…

High Energy Physics - Phenomenology · Physics 2023-03-30 Camila S. Machado , Sophie Renner , Dave Sutherland

The striking success of the Standard Model in explaining precision data and, at the same time, its lack of explanations for various fundamental phenomena, such as dark matter or the baryon asymmetry of the universe, suggests new physics at…

High Energy Physics - Phenomenology · Physics 2025-04-23 Gino Isidori , Felix Wilsch , Daniel Wyler

The full off-shell one loop renormalization for all divergent amplitudes up to dimension 6 in the Abelian Higgs-Kibble model, supplemented with a maximally power counting violating higher-dimensional gauge-invariant derivative interaction…

High Energy Physics - Phenomenology · Physics 2019-09-11 Daniele Binosi , Andrea Quadri