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Related papers: One-loop non-renormalization results in EFTs

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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

As in two and four dimensions, supersymmetric conformal field theories in three dimensions can have exactly marginal operators. These are illustrated in a number of examples with N=4 and N=2 supersymmetry. The N=2 theory of three chiral…

High Energy Physics - Theory · Physics 2007-05-23 Matthew J. Strassler

We compute, to the first non-trivial order in the $\epsilon$-expansion of a perturbed scalar field theory, the anomalous dimensions of an infinite class of primary operators with arbitrary spin $\ell=0,1,..$, including as a particular case…

High Energy Physics - Theory · Physics 2018-03-14 Ferdinando Gliozzi

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 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

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

High Energy Physics - Theory · Physics 2011-04-06 Burak Tevfik Kaynak

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 present the results of the first complete one-loop matching calculation between the real singlet scalar extension of the Standard Model and the Standard Model effective field theory (SMEFT) at dimension six. Beyond their immediate…

High Energy Physics - Phenomenology · Physics 2019-02-20 Minyuan Jiang , Nathaniel Craig , Ying-Ying Li , Dave Sutherland

Using on-shell methods, we present a new perturbative non-renormalization theorem for operator mixing in massless four-dimensional quantum field theories. By examining how unitarity cuts of form factors encode anomalous dimensions we show…

High Energy Physics - Phenomenology · Physics 2020-05-05 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

In this Letter we consider renormalization of a class of scalar operators with fixed hypercharge $Q$ within the Standard Model. We carry out explicit computation of the corresponding anomalous dimensions up to the three-loop order. In spite…

High Energy Physics - Phenomenology · Physics 2024-04-04 A. V. Bednyakov

By applying the recently developed Loop Regularization(LR) with string-mode regulators to supersymmetric field theories, we explicitly verify the supersymmetric Ward identities in several supersymmetric models at one-loop level. It is…

High Energy Physics - Phenomenology · Physics 2009-12-04 Jian-Wei Cui , Yong Tang , Yue-Liang Wu

We consider a one-loop finite ${\cal N}=1$ supersymmetric theory in such a renormalization scheme that the first $L$ contributions to the gauge $\beta$-function and the first $(L-1)$ contributions to the anomalous dimension of the matter…

High Energy Physics - Theory · Physics 2021-07-12 Konstantin Stepanyantz

We study the phenomenology of the simplest renormalisable model that, at low energy, leads to the effective field theory of the Standard Model extended with right-handed neutrinos ($\nu$SMEFT). Our aim is twofold. First, to contextualise…

High Energy Physics - Phenomenology · Physics 2020-05-29 Mikael Chala , Arsenii Titov

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

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

Leading-twist operators have a remarkable property that their divergence vanishes in a free theory. Recently it was suggested that this property can be used for an alternative technique to calculate anomalous dimensions of leading-twist…

High Energy Physics - Theory · Physics 2015-09-02 A. N. Manashov , M. Strohmaier

The conformal version of the antisymmetric second-order tensor field in four spacetime dimensions does not have gauge invariance extensively discussed in the literature for more than half a century. Our first observation is that, when…

High Energy Physics - Theory · Physics 2025-02-19 Ilya L. Shapiro

The late time limit of the power spectrum for heavy (principal series) fields in de Sitter space yields a series of polynomial terms with complex scaling dimensions. Such scaling behavior is expected to result from an associated operator…

High Energy Physics - Theory · Physics 2024-07-12 Timothy Cohen , Daniel Green , Yiwen Huang

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

For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic…

High Energy Physics - Phenomenology · Physics 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger