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We showed in a previous publication that there are six independent dimension-seven operators violating both lepton and baryon numbers ($L=-B=1$) and twelve ones violating lepton but preserving baryon number ($L=2,~B=0$) in standard model…

High Energy Physics - Phenomenology · Physics 2019-05-01 Yi Liao , Xiao-Dong Ma

We present a complete list of the independent dimension-7 operators that are constructed using the Standard Model degrees of freedom and are invariant under the Standard Model gauge group. This list contains only 20 independent operators;…

High Energy Physics - Phenomenology · Physics 2014-12-30 Landon Lehman

We revisit the effective field theory of the standard model that is extended with sterile neutrinos, $N$. We examine the basis of complete and independent effective operators involving $N$ up to mass dimension seven (dim-7). By employing…

High Energy Physics - Phenomenology · Physics 2017-07-19 Yi Liao , Xiao-Dong Ma

We calculate the one-loop anomalous dimension matrix for the dimension-six baryon number violating operators of the Standard Model effective field theory, including right-handed neutrino fields. We discuss the flavor structure of the…

High Energy Physics - Phenomenology · Physics 2015-06-19 Rodrigo Alonso , Hsi-Ming Chang , Elizabeth E. Jenkins , Aneesh V. Manohar , Brian Shotwell

We compute the one-loop anomalous dimensions of the low-energy effective Lagrangian below the electroweak scale, up to terms of dimension six. The theory has 70 dimension-five and 3631 dimension-six Hermitian operators that preserve baryon…

High Energy Physics - Phenomenology · Physics 2024-03-21 Elizabeth E. Jenkins , Aneesh V. Manohar , Peter Stoffer

We investigate systematically dimension-9 operators in the standard model effective field theory which contains only standard model fields and respects its gauge symmetry. With the help of the Hilbert series approach to classifying…

High Energy Physics - Phenomenology · Physics 2020-11-30 Yi Liao , Xiao-Dong Ma

We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory by the Lepton Number Violating operators (LNVs) at 1-loop order up to $\mathcal{O}(v^4/\Lambda^4)$, with $v \sim 246$ GeV as…

High Energy Physics - Phenomenology · Physics 2023-07-12 Supratim Das Bakshi , Álvaro Díaz-Carmona

Extensions of the standard model with low-energy supersymmetry generically allow baryon- and lepton-number violating operators of dimension four and five, yielding rapid proton decay. The dimension-four operators are usually forbidden by…

High Energy Physics - Phenomenology · Physics 2008-11-26 Joshua Sayre , Soren Wiesenfeldt , Scott Willenbrock

We calculate the order \lambda, \lambda^2 and \lambda y^2 terms of the 59 x 59 one-loop anomalous dimension matrix of dimension-six operators, where \lambda and y are the Standard Model Higgs self-coupling and a generic Yukawa coupling,…

High Energy Physics - Phenomenology · Physics 2020-07-16 Elizabeth E. Jenkins , Aneesh V. Manohar , Michael Trott

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 a complete and independent set of dimension-7 operators in the low energy effective field theory (LEFT) where the dynamical degrees of freedom are the standard model five quarks and all of the neutral and charged leptons. All…

High Energy Physics - Phenomenology · Physics 2022-07-22 Yi Liao , Xiao-Dong Ma , Quan-Yu Wang

We prove that for a given operator in the Standard Model (SM) with baryon number B and lepton number L, that the operator's dimension is even (odd) if (B-L)/2 is even (odd). Consequently, this establishes the veracity of statements that…

High Energy Physics - Phenomenology · Physics 2016-08-02 Andrew Kobach

We present the third part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): insertions of dimension-six operators that conserve baryon number. In…

High Energy Physics - Phenomenology · Physics 2026-02-05 Luca Naterop , Peter Stoffer

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

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

Baryon and lepton number are excellent low-energy symmetries of the Standard Model (SM) that tightly constrain the form of its extensions. In this paper we investigate the possibility that these accidental symmetries are violated in the…

High Energy Physics - Phenomenology · Physics 2025-12-18 Arnau Bas i Beneito , John Gargalionis , Juan Herrero-Garcia , Michael A. Schmidt

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 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

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

The renormalization factors of the dimension-six effective operators for proton decay are evaluated at two-loop level in the supersymmetric grand unified theories. For this purpose, we use the previous results in which the quantum…

High Energy Physics - Phenomenology · Physics 2013-07-11 Junji Hisano , Daiki Kobayashi , Yu Muramatsu , Natsumi Nagata
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