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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 present the first part of a systematic calculation of the two-loop anomalous dimensions in the low-energy effective field theory (LEFT): the effects at dimension five in the power counting. Our calculation is performed in a basis with…

High Energy Physics - Phenomenology · Physics 2025-06-18 Luca Naterop , Peter Stoffer

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

The low-energy effective field theory below the electroweak scale (LEFT) describes the effects at low energies of both the weak interaction and physics beyond the Standard Model. We study the one-loop renormalization of the LEFT in the 't…

High Energy Physics - Phenomenology · Physics 2024-02-19 Luca Naterop , Peter Stoffer

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 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

The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and…

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

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 derive the complete set of two-loop anomalous dimensions describing the mixing of four-fermion operators in the Low Energy Effective Field Theory (LEFT). The calculation is performed in Naive Dimensional Regularization with anticommuting…

High Energy Physics - Phenomenology · Physics 2026-05-08 Jason Aebischer , Pol Morell , Marko Pesut , Javier Virto

The complete set of one-loop anomalous dimensions for general Effective Field Theories (EFTs) is derived using on-shell methods. Combined with previous findings for the bosonic sector, the obtained results conclude the computation of the…

High Energy Physics - Phenomenology · Physics 2025-12-19 Jason Aebischer , Luigi C. Bresciani , Nudzeim Selimovic

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

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 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 compute the contributions of the dimension-6 SMEFT operators involving four third-generation quarks to the two-loop renormalisation of the quark fields and masses. We perform the computations in both the Naive Dimensional Regularisation…

High Energy Physics - Phenomenology · Physics 2026-02-03 Claude Duhr , Giuseppe Ventura , Eleni Vryonidou

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

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 classify the physical operators of the most general bosonic effective gauge theory up to dimension six using on-shell methods. Based on this classification, we compute the complete one-loop anomalous dimension employing both on-shell…

High Energy Physics - Phenomenology · Physics 2026-05-29 Jason Aebischer , Luigi C. Bresciani , Nudzeim Selimovic

In part I general aspects of the renormalization of a spontaneously broken gauge theory have been introduced. Here, in part II, two-loop renormalization is introduced and discussed within the context of the minimal Standard Model.…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , G. Passarino

We compute the one-loop corrections to $Z$ decay properties from dimension-6 operators in the Standard Model Effective Field Theory (SMEFT) that contribute also to anomalous 3-gauge boson couplings and examine the relative sensitivity of…

High Energy Physics - Phenomenology · Physics 2018-11-14 Sally Dawson , Ahmed Ismail

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
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