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We discuss the renormalisation properties of the full set of $\Delta F=2$ operators involved in BSM processes, including the definition of RGI versions of operators that exhibit mixing under RG transformations. As a first step for a fully…

High Energy Physics - Lattice · Physics 2018-01-30 Mauro Papinutto , Carlos Pena , David Preti

There is an ambiguity in choosing field-strength renormalization factors in the $ \overline{\text{MS}} $ scheme starting from the 3-loop order in perturbation theory. More concerning, trivially choosing Hermitian factors has been shown to…

High Energy Physics - Theory · Physics 2021-07-07 Florian Herren , Anders Eller Thomsen

The discovery of the Higgs boson has opened a new window to test the SM through the measurements of its couplings. Of particular interest is the measured Higgs coupling to photons which arises in the SM at the one-loop level, and can then…

High Energy Physics - Phenomenology · Physics 2015-06-15 J. Elias-Miro , J. R. Espinosa , E. Masso , A. Pomarol

Recently, we have developed a formalism to evaluate QCD loop diagrams with a single virtual gluon using a running coupling constant at the vertices. This corresponds to an all-order resummation of certain terms (the so-called renormalon…

High Energy Physics - Phenomenology · Physics 2008-02-03 Matthias Neubert

In this article, a complete analysis of the three muonic lepton-flavour violating processes $\mu\to e \gamma$, $\mu\to 3e$ and coherent nuclear $\mu\to e$ conversion is performed in the framework of an effective theory with dimension six…

High Energy Physics - Phenomenology · Physics 2017-05-30 Andreas Crivellin , Sacha Davidson , Giovanni Marco Pruna , Adrian Signer

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

We re-examine the one-loop renormalization group equations (RGEs) for the dimensionful parameters of the minimal supersymmetric Standard Model with broken supersymmetry, allowing for arbitrary flavour structure of the soft SUSY breaking…

High Energy Physics - Phenomenology · Physics 2011-01-17 Andrew D. Box , Xerxes Tata

We study baryon-number-violating processes, including proton and bound neutron decays and $n-\bar n$ oscillations, in a left-right-symmetric (LRS) model in which quarks and leptons have localized wavefunctions in extra dimensions. In this…

High Energy Physics - Phenomenology · Physics 2020-05-14 Sudhakantha Girmohanta , Robert Shrock

The renormalization group (RG) in statistical physics focuses on ground-state properties of equilibrium systems. However, it is unclear how it should be generalized to nonunitary quantum dynamics caused by dissipation and measurement…

Statistical Mechanics · Physics 2026-05-12 Atsushi Oyaizu , Hongchao Li , Masaya Nakagawa , Masahito Ueda

We calculate the gauge terms of the one-loop anomalous dimension matrix for the dimension-six operators of the Standard Model effective field theory (SM EFT). Combining these results with our previous results for the $\lambda$ and Yukawa…

High Energy Physics - Phenomenology · Physics 2024-06-14 Rodrigo Alonso , Elizabeth E. Jenkins , Aneesh V. Manohar , Michael Trott

We formulate a renormalization group (RG) for the interaction parameters of the general two-body problem and show how a limit cycle emerges in the RG flow if the interaction approaches an inverse square law. This limit cycle generates a…

Statistical Mechanics · Physics 2007-05-23 Erich J. Mueller , Tin-Lun Ho

CP-violating contributions to Higgs--fermion couplings are absent in the standard model of particle physics (SM), but are motivated by models of electroweak baryogenesis. Here, we employ the framework of the SM effective theory (SMEFT) to…

High Energy Physics - Phenomenology · Physics 2022-09-02 Joachim Brod , Jonathan M. Cornell , Dimitrios Skodras , Emmanuel Stamou

In the context of non-supersymmetric SO(10) models, we analyze the renormalization group equations for the fermions (including neutrinos) from the GUT energy scale down to the electroweak energy scale, explicitly taking into account the…

High Energy Physics - Phenomenology · Physics 2015-10-02 Davide Meloni , Tommy Ohlsson , Stella Riad

We apply the real-time renormalization group (RG) in nonequilibrium to an arbitrary quantum dot in the Coulomb blockade regime. Within one-loop RG-equations, we include self-consistently the kernel governing the dynamics of the reduced…

Strongly Correlated Electrons · Physics 2007-10-29 Thomas Korb , Frank Reininghaus , Herbert Schoeller , Jürgen König

We study lepton-number-violating interactions at dimension seven in the Standard Model effective field theory that contribute to the meson decays $B \to K \nu \nu$ and $K \to \pi \nu \nu$. Such interactions could washout the baryon…

High Energy Physics - Phenomenology · Physics 2026-01-26 Motoi Endo , Kåre Fridell , Sho Iwamoto , Yushi Mura , Kei Yamamoto

We consider a class of $\text{SO}(10)$ models with flavor symmetries in the Yukawa sector and investigate their viability by performing numerical fits to the fermion masses and mixing parameters. The fitting procedure involves a top-down…

High Energy Physics - Phenomenology · Physics 2021-09-23 Tommy Ohlsson , Marcus Pernow

The decay rate of neutrinoless double beta ($0\nu\beta\beta$) decay contains terms from heavy particle exchange, which lead to dimension-9 (d=9) six fermion operators at low energies. Limits on the coefficients of these operators have been…

High Energy Physics - Phenomenology · Physics 2018-07-23 M. González , M. Hirsch , S. G. Kovalenko

We apply the Renormalization Group Procedure for Effective Particles (RGPEP) to the front form Yukawa Hamiltonian, yielding a renormalized (effective) Hamiltonian, accurate up to second order in the coupling strength. Subsequently, we…

High Energy Physics - Theory · Physics 2025-08-25 Carter M. Gustin , Kamil Serafin , William A. Simon , Alexis Ralli , Gary R. Goldstein , Peter J. Love

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

The response of four dimensional quantum field theories to a Weyl rescaling of the metric in the presence of local couplings and which involve $a$, the coefficient of the Euler density in the energy momentum tensor trace on curved space, is…

High Energy Physics - Theory · Physics 2015-02-10 I. Jack , H. Osborn
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