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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…

高能物理 - 唯象学 · 物理学 2025-12-19 Jason Aebischer , Luigi C. Bresciani , Nudzeim Selimovic

We use the on-shell S-matrix and form factors to compute anomalous dimensions of higher dimension operators in the Standard Model Effective Field Theory. We find that in many instances, these computations are made simple by using the…

高能物理 - 唯象学 · 物理学 2020-12-21 Joan Elias Miró , James Ingoldby , Marc Riembau

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…

高能物理 - 唯象学 · 物理学 2025-12-10 Guilherme Guedes , Jasper Roosmale Nepveu

We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used…

高能物理 - 唯象学 · 物理学 2020-12-02 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

We perform a comprehensive perturbative study of the operator spectrum in multi-scalar theories with hypercubic global symmetry. This includes working out symmetry representations and their corresponding tensor structures. These structures…

高能物理 - 理论 · 物理学 2024-03-22 Alexander Bednyakov , Johan Henriksson , Stefanos R. Kousvos

On-shell amplitude methods have proven to be extremely efficient for calculating anomalous dimensions. We further elaborate on these methods to show that, by the use of an angular momentum decomposition, the one-loop anomalous dimensions…

高能物理 - 唯象学 · 物理学 2022-11-24 Pietro Baratella , Clara Fernandez , Benedict von Harling , Alex Pomarol

We elaborate on the application of on-shell and unitarity-based methods for evaluating renormalization group coefficients, and generalize this framework to account for the mixing of operators with different dimensions and leading mass…

高能物理 - 唯象学 · 物理学 2026-05-26 L. C. Bresciani , G. Levati , P. Mastrolia , P. Paradisi

We study whether higher-dimensional operators in effective field theories, in particular in the Standard Model Effective Field Theory (SMEFT), can source gauge anomalies via the modification of the interactions involved in triangle…

高能物理 - 唯象学 · 物理学 2021-06-30 Quentin Bonnefoy , Luca Di Luzio , Christophe Grojean , Ayan Paul , Alejo N. Rossia

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…

高能物理 - 唯象学 · 物理学 2024-06-14 Rodrigo Alonso , Elizabeth E. Jenkins , Aneesh V. Manohar , Michael Trott

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.…

高能物理 - 唯象学 · 物理学 2025-03-25 Mikołaj Misiak , Ignacy Nałęcz

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…

高能物理 - 唯象学 · 物理学 2023-09-29 Supratim Das Bakshi , Mikael Chala , Álvaro Díaz-Carmona , Guilherme Guedes

We present a conjecture for the leading $1/N$ anomalous dimension of the scalar primary operator in $U(N)_k$ Chern-Simons theories coupled to a single fundamental field, to all orders in the t'Hooft coupling $\lambda=\frac{N}{k}$. Following…

高能物理 - 理论 · 物理学 2021-08-03 Sachin Jain , Vinay Malvimat , Abhishek Mehta , Shiroman Prakash , Nidhi Sudhir

We review methods and results for extracting the anomalous dimensions of operators from lattice field theory calculations. The most important application is the anomalous mass dimension in conformal or nearly conformal gauge field theories…

高能物理 - 格点 · 物理学 2016-05-04 Joel Giedt

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…

高能物理 - 唯象学 · 物理学 2018-11-14 Sally Dawson , Ahmed Ismail

A technique of large-charge expansion provides a novel opportunity for calculation of critical dimensions of operators $\phi^Q$ with fixed charge $Q$. In the small-coupling regime the polynomial structure of the anomalous dimensions can be…

高能物理 - 理论 · 物理学 2022-11-09 Alexander Bednyakov , Andrey Pikelner

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,…

高能物理 - 唯象学 · 物理学 2021-02-03 Alakabha Datta , Jacky Kumar , Hongkai Liu , Danny Marfatia

We study deformations of the SM via higher dimensional operators. In particular, we explicitly calculate the one-loop anomalous dimension matrix for 13 bosonic dimension-6 operators relevant for electroweak and Higgs physics. These scaling…

高能物理 - 唯象学 · 物理学 2015-06-18 Joan Elias-Miro , Christophe Grojean , Rick S. Gupta , David Marzocca

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…

高能物理 - 唯象学 · 物理学 2024-03-21 Elizabeth E. Jenkins , Aneesh V. Manohar , Peter Stoffer

In a recent publication we have investigated the spectrum of anomalous dimensions for arbitrary composite operators in the critical N-vector model in 4-epsilon dimensions. We could establish properties like upper and lower bounds for the…

高能物理 - 理论 · 物理学 2009-10-28 Stefan K. Kehrein , Franz Wegner

On-shell amplitude methods allow to derive one-loop renormalization effects from just tree-level amplitudes, with no need of loop calculations. We derive a simple formula to obtain the anomalous dimensions of higher-dimensional operators…

高能物理 - 唯象学 · 物理学 2021-05-05 Pietro Baratella , Clara Fernandez , Alex Pomarol
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