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In this paper, we propose a Green's basis and also a new physical basis for dimension-seven (dim-7) operators, which are suitable for the matching of ultraviolet models onto the Standard Model effective field theory (SMEFT) and the…

High Energy Physics - Phenomenology · Physics 2023-10-18 Di Zhang

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

The Standard Model Effective Field Theory (SMEFT) provides a powerful, model-independent framework to explore deviations from the Standard Model (SM) by parametrising potential new physics through higher-dimensional operators. This thesis…

High Energy Physics - Phenomenology · Physics 2026-02-06 Álvaro Díaz-Carmona

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

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

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 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

This is the third of a series of works (arxiv:2106.05291, arxiv:2205.03301) aimed at renormalizing the Standard Model effective field theory at one loop and to order $1/\Lambda^4$, with $\Lambda$ being the new physics cut-off. On this…

High Energy Physics - Phenomenology · Physics 2024-09-25 S. D. Bakshi , M. Chala , Á. Díaz-Carmona , Z. Ren , F. Vilches

We study implications of the four-fermion semileptonic operators at the low-energy and at electroweak (EW) scale in the framework of Standard Model Effective Field Theory (SMEFT). We show how the renormalization group (RG) running effects…

High Energy Physics - Phenomenology · Physics 2022-02-09 Jacky Kumar

We present a complete and independent off-shell Green's basis of the dimension 8 operators in the Standard Model effective field theory (SMEFT). We propose an off-shell amplitude formalism such that this new kind of amplitudes has a…

High Energy Physics - Phenomenology · Physics 2022-11-22 Zhe Ren , Jiang-Hao Yu

Lepton-number-violating interactions occur in the Standard Model Effective Field Theory (SMEFT) at odd dimensions starting from the dimension-5 Weinberg operator. Although the operators at dimension-7 and higher are more suppressed by the…

High Energy Physics - Phenomenology · Physics 2025-10-09 Kåre Fridell , Lukáš Gráf , Julia Harz , Chandan Hati

We investigate the impact of effective interactions of dimension-8 (dim-8) operators in the standard model effective field theory (SMEFT) on neutral meson mixing, focusing on the $K^0-\bar K^0$, $B_{d,s}-\bar B_{d,s}$, and $D^0-\bar D^0$…

High Energy Physics - Phenomenology · Physics 2025-03-11 Yi Liao , Xiao-Dong Ma , Hao-Lin Wang

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

Standard Model Neutrino Effective Field Theory (SMNEFT) is an effective theory with Standard Model (SM) gauge-invariant operators constructed only from SM and right-handed neutrino fields. For the full set of dimension-six SMNEFT operators,…

High Energy Physics - Phenomenology · Physics 2021-02-03 Alakabha Datta , Jacky Kumar , Hongkai Liu , Danny Marfatia

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

The next-to-leading order (NLO) Standard Model Effective Field Theory (SMEFT) renormalization group equations are needed to account for phenomenologically relevant operator mixing and ensure renormalization scale independence in NLO…

High Energy Physics - Phenomenology · Physics 2026-03-19 Lukas Born , Javier Fuentes-Martín , Anders Eller Thomsen

We study dimension-seven operators in standard model effective field theory. These operators are classified into two sets, one violating lepton number but preserving baryon number ($\Delta L=\pm 2$, $\Delta B=0$) and the other violating…

High Energy Physics - Phenomenology · Physics 2016-08-02 Yi Liao , Xiao-Dong Ma

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

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
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