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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

In this paper, we derive the complete set of one-loop renormalization-group equations (RGEs) for the operators up to dimension-six (dim-6) in the seesaw effective field theories (SEFTs). Two kinds of contributions to those RGEs are…

High Energy Physics - Phenomenology · Physics 2023-05-31 Yilin Wang , Di Zhang , Shun Zhou

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 derive the renormalization group equations (RGE) for the flavour coupling matrices of the effective dimension-five operators which yield Majorana neutrino masses in the multi-Higgs-doublet Standard Model; in particular, we consider the…

High Energy Physics - Phenomenology · Physics 2011-07-19 W. Grimus , L. Lavoura

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

We study Radiative Electroweak Symmetry Breaking in the Minimal Supersymmetric Standard Model (MSSM). We employ the 2-loop Renormalization Group equations for running masses and couplings taking into account sparticle threshold effects. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Tamvakis

We study the renormalization group evolution (RGE) of new physics contributions to (semi)leptonic charged-current meson decays, focusing on operators involving a chirality flip at the quark level. We calculate their evolution under…

High Energy Physics - Phenomenology · Physics 2017-10-02 Martín González-Alonso , Jorge Martin Camalich , Kin Mimouni

Motivated by models for neutrino masses and lepton mixing, we consider the renormalization of the lepton sector of a general multi-Higgs-doublet Standard Model with an arbitrary number of right-handed neutrino singlets. We propose to make…

High Energy Physics - Phenomenology · Physics 2018-12-05 Walter Grimus , Maximilian Löschner

Within the framework of the standard model plus one heavy Higgs triplet, we derive a full set of one-loop renormalization group equations of the neutrino mass matrix and Higgs couplings in both full and effective theories. The explicit RGEs…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wei Chao , He Zhang

Multi-scale renormalization group (RG) methods are reviewed and applied to the analysis of the effective potential for radiative symmetry breaking with multiple scalar fields, allowing an extension of the Gildener & Weinberg (GW) method…

High Energy Physics - Phenomenology · Physics 2014-11-19 T. G. Steele , Zhi-Wei Wang , D. G. C. McKeon

We study Radiative Electroweak Symmetry Breaking in the Minimal Supersymmetric Standard Model (MSSM). We employ the 2-loop Renormalization Group equations for running masses and couplings taking into account sparticle threshold effects. The…

High Energy Physics - Phenomenology · Physics 2009-09-24 A. Dedes , A. B. Lahanas , K. Tamvakis

In this work, we revisit the renormalization group equations (RGEs) of dimension-seven (dim-7) operators in the Standard Model effective field theory (SMEFT) resulting from mixing among dim-7 operators themselves by means of the background…

High Energy Physics - Phenomenology · Physics 2024-02-02 Di Zhang

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

In this work, we investigate the consequences of the Renormalization Group Equation (RGE) in the determination of the effective superpotential and the study of Dynamical Symmetry Breaking (DSB) in an N = 1 supersymmetric theory including an…

High Energy Physics - Theory · Physics 2016-04-11 A. G. Quinto , A. F. Ferrari , A. C. Lehum

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 compute the two-loop renormalization-group equations for the baryon-number-violating dimension-six operators in the SMEFT. This includes all three gauge interactions, the Yukawa, and Higgs self-interaction contributions. In addition, we…

High Energy Physics - Phenomenology · Physics 2026-02-04 Sumit Banik , Andreas Crivellin , Luca Naterop , Peter Stoffer

We systematically extend the framework of galaxy bias renormalization to two-loop order. For the minimal complete basis of 29 deterministic bias operators up to fifth order in the density field and at leading order in gradient expansion we…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-21 Thomas Bakx , Mathias Garny , Henrique Rubira , Zvonimir Vlah

We systematically analyze the $d=5$ Weinberg operator at 2-loop order. Using a diagrammatic approach, we identify two different interesting categories of neutrino mass models: (i) Genuine 2-loop models for which both, tree-level and 1-loop…

High Energy Physics - Phenomenology · Physics 2015-03-26 D. Aristizabal Sierra , A. Degee , L. Dorame , M. Hirsch

We perform a systematic one-loop renormalization of a general renormalizable Yang-Mills theory coupled to scalars and fermions using a regularization scheme with a smooth momentum cutoff $\Lambda$ (implemented through an exponential damping…

High Energy Physics - Phenomenology · Physics 2016-12-21 Piotr H. Chankowski , Adrian Lewandowski , Krzysztof A. Meissner

The complete set of two-loop renormalization group equations in general gauge field theories is presented. This includes the \beta functions of parameters with and without a mass dimension.

High Energy Physics - Phenomenology · Physics 2009-11-07 Mingxing Luo , Huawen Wang , Yong Xiao
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