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We explore the interplay of New Physics (NP) effects in $(g-2)_\ell$ and $h \to \ell^+ \ell^-$ within the Standard Model Effective Field Theory (SMEFT) framework, including one-loop Renormalization Group (RG) evolution of the Wilson…

High Energy Physics - Phenomenology · Physics 2021-06-30 Svjetlana Fajfer , Jernej F. Kamenik , Michele Tammaro

We investigate the renormalization group(RG) evolution for the neutral scalar field theory in the broken symmetry phase. By using the minimum condition of the vacuum expectation value(VEV), we show that the RG evlution of the effective…

High Energy Physics - Theory · Physics 2015-05-28 Chungku Kim

Higgs decays to gauge boson pairs are a crucial ingredient in the study of Higgs properties, with the decay $H\rightarrow\gamma\gamma$ being particularly sensitive to new physics effects. Assuming all potential new physics occurs at…

High Energy Physics - Phenomenology · Physics 2018-11-26 Sally Dawson , Pier Paolo Giardino

The Standard Model Effective Field Theory (SMEFT) provides a robust framework for probing deviations in the couplings of Standard Model particles from their theoretical predictions. This framework relies on an expansion in…

High Energy Physics - Phenomenology · Physics 2025-01-22 Nilabhra Adhikary , Tisa Biswas , Joydeep Chakrabortty , Christoph Englert , Michael Spannowsky

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 calculate one loop contributions to $\Gamma(h \rightarrow \gamma \, \gamma)$ from higher dimensional operators, in the Standard Model Effective Field Theory (SMEFT). Some technical challenges related to determining Electroweak one loop…

High Energy Physics - Phenomenology · Physics 2017-07-12 Christine Hartmann , Michael Trott

We develop the geometric formulation of the Standard Model Effective Field Theory (SMEFT). Using this approach we derive all-orders results in the $\sqrt{2 \langle H^\dagger H \rangle}/\Lambda$ expansion relevant for studies of electroweak…

High Energy Physics - Phenomenology · Physics 2020-06-12 Andreas Helset , Adam Martin , Michael Trott

Using continuous wavelet transform it is possible to construct a regularization procedure for scale-dependent quantum field theory models, which is complementary to functional renormalization group method in the sense that it sums up the…

High Energy Physics - Theory · Physics 2019-03-27 M. V. Altaisky

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

We calculate two-loop renormalization group equations (RGEs) in the Standard Model Effective Field Theory (SMEFT) with right-handed neutrinos, i.e., the so-called $\nu$SMEFT, up to dimension five. Besides the two-loop RGEs of dimension-five…

High Energy Physics - Phenomenology · Physics 2025-05-07 Di Zhang

The renormalization of composite operators is a fundamental aspect of quantum field theory, relevant for the description of phase transitions and high energy phenomenology. We calculate the anomalous dimensions of a large set of operators…

High Energy Physics - Theory · Physics 2026-01-06 Johan Henriksson , Stefanos R. Kousvos , Jasper Roosmale Nepveu

We apply the similarity renormalization group (SRG) approach to evolve a nucleon-nucleon ($NN$) interaction in leading-order (LO) chiral effective field theory (ChEFT), renormalized within the framework of the subtracted kernel method…

Nuclear Theory · Physics 2011-04-26 V. S. Timoteo , S. Szpigel , F. O. Duraes

For cosmologies including scale dependence of both the cosmological and the gravitational constant, an additional consistency condition dictated by the Bianchi identities emerges, even if the energy-momentum tensor of ordinary matter stays…

Astrophysics · Physics 2009-11-10 A. Babic , B. Guberina , R. Horvat , H. Stefancic

According to the available publications, the field theoretical renormalization group (RG) approach in the two-dimensional case gives the critical exponents that differ from the known exact values. This fact was attempted to explain by the…

Statistical Mechanics · Physics 2009-11-13 A. A. Pogorelov , I. M. Suslov

Within the conformally reduced gravity model, where the metric is parametrised by a function $f(\phi)$ of the conformal factor $\phi$, we keep dependence on both the background and fluctuation fields, to local potential approximation and…

High Energy Physics - Theory · Physics 2015-04-28 Juergen A. Dietz , Tim R. Morris

The quantum evolution equations for the field expectation value are analytically solved to cubic order in the field amplitude and to one-loop level in the lambda phi-fourth model. We adapt and use the renormalization group (RG) method for…

High Energy Physics - Theory · Physics 2009-10-30 H. J. de Vega , J. F. J. Salgado

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 renormalization group (RG) method is one of the singular perturbation methods which is used in search for asymptotic behavior of solutions of differential equations. In this article, time-independent vector fields and time (almost)…

Dynamical Systems · Mathematics 2015-05-14 Hayato Chiba

We consider a generic class of effective quantum field theories with arbitrary gauge groups and scalar matter fields. In such theories, we derive the one-loop Renormalization Group Equations (RGEs) for the physical dimension-six operators.…

High Energy Physics - Phenomenology · Physics 2025-03-25 Mikołaj Misiak , Ignacy Nałęcz

The Renormalization Group (RG) is a set of methods that have been instrumental in tackling problems involving an infinite number of degrees of freedom. What all these methods have in common -- which is what explains their success -- is that…

Statistical Mechanics · Physics 2020-04-30 Pedro Pessoa , Ariel Caticha