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We investigate the structure of renormalization constants within the MS-like renormalization prescriptions for a version of dimensional regularization in which the dimensionful regularization parameter $\Lambda$ differs from the…

High Energy Physics - Theory · Physics 2024-05-21 Nikolai Meshcheriakov , Victoria Shatalova , Konstantin Stepanyantz

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

The local composite operator A^2 is analysed in pure Yang-Mills theory in the Landau gauge within the algebraic renormalization. It is proven that the anomalous dimension of A^2 is not an independent parameter, being expressed as a linear…

High Energy Physics - Theory · Physics 2016-09-06 D. Dudal , H. Verschelde , S. P. Sorella

Invariance of the effective action under changes of the renormalization scale $\mu$ leads to relations between those (presumably calculated) terms independent of $\mu$ at a given order of perturbation theory and those higher order terms…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. R. Ahmady , V. Elias , D. G. C. McKeon , A. Squires , T. G. Steele

Evanescent operators are a special class of operators that vanish classically in four-dimensional spacetime, while in general dimensions they are non-zero and are expected to have non-trivial physical effects at the quantum loop level in…

High Energy Physics - Theory · Physics 2022-09-07 Qingjun Jin , Ke Ren , Gang Yang , Rui Yu

Without any mechanism to protect its mass, the self-energy of the Higgs boson diverges quadratically, leading to the hierarchy or fine-tuning problem. One bottom-up solution is to postulate some yet-to-be-discovered symmetry which forces…

High Energy Physics - Phenomenology · Physics 2020-10-28 Ambalika Biswas , Anirban Kundu , Poulami Mondal

The blocked composite operators are defined in the one-component Euclidean scalar field theory, and shown to generate a linear transformation of the operators, the operator mixing. This transformation allows us to introduce the parallel…

High Energy Physics - Theory · Physics 2009-10-31 J. Polonyi , K. Sailer

We renormalize the Gross-Neveu-Yukawa model with an $O(N)$ symmetry to $\mathcal{O}(\epsilon^5)$ in $d=4-\epsilon$ dimensions and determine the anomalous dimensions of the fermion and scalar fields, $\beta$-functions as well as the scalar…

High Energy Physics - Theory · Physics 2025-07-31 J. A. Gracey , A. Maier , P. Marquard , Y. Schröder

Measurement of the Yukawa interaction between the top quark and the Higgs boson should be useful to clarify the mechanism of fermion mass generation. We discuss the impact of non-standard interactions characterized by dimension-six…

High Energy Physics - Phenomenology · Physics 2016-09-06 Shinya Kanemura , Daisuke Nomura , Koji Tsumura

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

The Standard Model Neutrino Effective Field Theory (SMNEFT) is the Standard Model Effective Field Theory (SMEFT) augmented with right-handed neutrinos. Building on our previous work, arXiv:2010.12109, we calculate the Yukawa coupling…

High Energy Physics - Phenomenology · Physics 2021-05-07 Alakabha Datta , Jacky Kumar , Hongkai Liu , Danny Marfatia

We extent the standard approach of dimensional regularization of Feynman diagrams: we replace the transition to lower dimensions by a 'natural' cut-off regulator. Introducing an external regulator of mass Lambda^(2e), we regain in the limit…

Nuclear Theory · Physics 2007-05-23 M. Dillig

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

We calculate the two-loop QCD mixing of the dimension-five flavor-changing operators that arise in the Standard Model after integrating out the $W$, $Z$ and Higgs bosons and the top-quark, i.e.~the mixing among gluonic and photonic magnetic…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Misiak , M. Muenz

For supersymmetric extensions of the Standard Model we construct some expressions that include Yukawa couplings for the third and second generations and receive relatively small quantum corrections. This implies that they slightly depend on…

High Energy Physics - Phenomenology · Physics 2026-04-28 Kirill Krylov , Daniil Rystsov , Konstantin Stepanyantz

Differential regularization is applied to a field theory of a non-relativistic charged boson field $\phi$ with $\lambda (\phi {}^{*} \phi)^2$ self-interaction and coupling to a statistics-changing $U(1)$ Chern-Simons gauge field.…

High Energy Physics - Theory · Physics 2009-10-08 D. Z. Freedman , G. Lozano , N. Rius

There are reasons to believe that the Standard Model is only an effective theory, with new Physics lying beyond it. Supersymmetric extensions are one possibility: they address some of the Standard Model's shortcomings, such as the…

High Energy Physics - Phenomenology · Physics 2013-10-07 Renato M. Fonseca

Leptoquarks are theoretically well-motivated and have received increasing attention in recent years as they can explain several hints for physics beyond the Standard Model. In this article, we calculate the renormalisation group evolution…

High Energy Physics - Phenomenology · Physics 2023-11-08 Sumit Banik , Andreas Crivellin

We compute the general form of the six-loop anomalous dimension of twist-two operators with arbitrary spin in planar N=4 SYM theory. First we find the contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping terms…

High Energy Physics - Theory · Physics 2015-06-09 Christian Marboe , Vitaly Velizhanin , Dmytro Volin

We find the explicit operatorial form of renormalon-type singularities in abelian gauge theory. Local operators of dimension six take care of the first U.V. renormalon, non local operators are needed for I.R. singularities. In the effective…

High Energy Physics - Theory · Physics 2015-06-26 G. Di Cecio , G. Paffuti
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