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Related papers: Renormalization group evolution of dimension-six b…

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We renormalize six dimensional phi^3 theory in the modified minimal subtraction (MSbar) scheme at four loops. From the resulting beta-function, anomalous dimension and mass anomalous dimension we compute four loop critical exponents…

High Energy Physics - Theory · Physics 2015-07-10 J. A. Gracey

Baryon number is an accidental symmetry of the Standard Model at the Lagrangian level. Its violation is arguably one of the most compelling phenomena predicted by physics beyond the Standard Model. Furthermore, there is a large experimental…

High Energy Physics - Phenomenology · Physics 2026-02-13 Arnau Bas i Beneito , John Gargalionis , Juan Herrero-Garcia , Arcadi Santamaria , Michael A. Schmidt

In the Standard Model, baryon number is an accidental symmetry, whose violation would constitute unambiguous evidence of new physics, with proton decay providing its most prominent experimental signature. At the same time, the peculiar…

High Energy Physics - Phenomenology · Physics 2026-04-03 Arnau Bas i Beneito , Ajdin Palavrić , Andrea Sainaghi

We compute the renormalization-group equations governing the evolution of dimension-8 four-fermion operators in the Standard Model Effective Field Theory (SMEFT). We describe the calculation and present analytic results for both the full…

High Energy Physics - Phenomenology · Physics 2024-12-23 Radja Boughezal , Yingsheng Huang , Frank Petriello

We study the mixing of operators under renormalization group flow in quantum theories, and prove a non-renormalization theorem at non-linear order. It dictates zeros up to a certain number of loops in anomalous dimension tensors that…

High Energy Physics - Phenomenology · Physics 2023-03-15 Weiguang Cao , Franz Herzog , Tom Melia , 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 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 determine the complete set of independent dimension six and eight Lorentz scalar operators in Yang-Mills theory for an arbitrary colour group. The anomalous dimension mixing matrix is determined at one loop.

High Energy Physics - Phenomenology · Physics 2009-11-07 J. A. Gracey

We present DsixTools, a Mathematica package for the handling of the dimension-six Standard Model Effective Field Theory. Among other features, DsixTools allows the user to perform the full one-loop Renormalization Group Evolution of the…

High Energy Physics - Phenomenology · Physics 2017-06-23 Alejandro Celis , Javier Fuentes-Martin , Avelino Vicente , Javier Virto

Charged lepton flavor violation arises in the Standard Model Effective Field Theory at mass dimension six. The operators that induce neutrinoless muon and tauon decays are among the best constrained and are sensitive to new-physics scales…

High Energy Physics - Phenomenology · Physics 2024-04-15 Julian Heeck , Mikheil Sokhashvili

Renormalization group equations play a central role in effective field theories, both maintaining perturbative control and allowing one to determine the correct low-energy phenomenology. In this work, we complete the one-loop…

High Energy Physics - Phenomenology · Physics 2025-12-19 Renato M. Fonseca , Pablo Olgoso , José Santiago

We calculate the renormalisation group running of the bosonic Standard Model (SM) effective operators at one loop and to order $v^4/\Lambda^4$, with $v\sim 246$ GeV being the electroweak scale and $\Lambda$ the unknown new physics…

High Energy Physics - Phenomenology · Physics 2023-09-29 Supratim Das Bakshi , Mikael Chala , Álvaro Díaz-Carmona , Guilherme Guedes

For a large set of flavor symmetries, the lowest-dimensional baryon- or lepton-number violating operators in the Standard Model effective field theory (SMEFT) with flavor symmetry are of mass dimension 9. As a consequence, baryon- and…

High Energy Physics - Phenomenology · Physics 2019-12-04 Andreas Helset , Andrew Kobach

We compute the leading-logarithmic correction to the neutrino mass matrix in the Standard Model effective field theory (SMEFT) to dimension seven. In the limit of negligible lepton and down-type quark Yukawa couplings, it receives…

High Energy Physics - Phenomenology · Physics 2021-08-06 Mikael Chala , Arsenii Titov

The anomalous dimension of spin-1/2 baryon operators in QCD is derived at leading 1/Nf order using the minimal subtraction scheme. A residual ambiguity, originating from the presence of evanescent operators in dimensional regularization, is…

High Energy Physics - Phenomenology · Physics 2018-06-27 Luca Vecchi

We calculate the two-loop QCD anomalous dimension matrix (ADM) gamma^(1)_NDR in the NDR-MSbar scheme for all the flavour-changing four-quark dimension-six operators that are relevant in both the Standard Model and its extensions. Both…

High Energy Physics - Phenomenology · Physics 2024-02-15 Andrzej J. Buras , Mikolaj Misiak , Joerg Urban

The consistent recursive subtraction of UV divergences order by order in the loop expansion for spontaneously broken effective field theories with dimension-6 derivative operators is presented for an Abelian gauge group. We solve the…

High Energy Physics - Phenomenology · Physics 2019-10-02 Daniele Binosi , Andrea Quadri

We study lepton flavor observables in the Standard Model (SM) extended with all dimension-$6$ operators which are invariant under the SM gauge group. We calculate the complete one-loop predictions to the radiative lepton decays $\mu\to…

High Energy Physics - Phenomenology · Physics 2015-06-18 Andreas Crivellin , Saereh Najjari , Janusz Rosiek

Extending the Standard Model (SM) with three right-handed neutrinos, the type-I seesaw model serves as the simplest and most natural scenario to successfully explain both tiny neutrino masses and the baryon number asymmetry in the Universe.…

High Energy Physics - Phenomenology · Physics 2026-01-06 Jihong Huang , Shun Zhou

We present a complete and independent list of the dimension 9 operator basis in the Standard Model effective field theory by an automatic algorithm based on the amplitude-operator correspondence. A complete basis (y-basis) is first…

High Energy Physics - Phenomenology · Physics 2021-07-28 Hao-Lin Li , Zhe Ren , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng