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Related papers: Structure of two-loop SMEFT anomalous dimensions v…

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We calculate the two-loop $10 \times 10$ anomalous dimension matrix ${\cal O}(\alpha_s^{2})$ involving current-current operators, QCD penguin operators, and electroweak penguin operators especially relevant for $\Delta S=1$ weak…

High Energy Physics - Phenomenology · Physics 2009-10-22 Andrzej J. Buras , Matthias Jamin , Markus E. Lautenbacher , Peter H. Weisz

We present results on the calculation of the polarized 2- and 3-loop anomalous dimensions in a massive computation of the associated operator matrix element. We also discuss the treatment of $\gamma_5$ and derive results in the M-scheme.10

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 present results on the two-loop anomalous dimensions of the heavy baryon HQET currents $J=(q^TC\Gamma\tau q)\Gamma'Q$ with arbitrary Dirac matrices $\Gamma$ and $\Gamma'$. From our general result we obtain the two-loop anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Groote , J. G. Körner , O. I. Yakovlev

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

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 renormalization of the scalar diquark operator and its anomalous dimension is calculated at two-loop order in QCD, enabling higher-order QCD studies of diquarks. As an application of our result, the two-loop diquark anomalous dimension…

High Energy Physics - Phenomenology · Physics 2011-11-30 R. T. Kleiv , T. G. Steele

Using an effective field theory (EFT) formalism for forward scattering, we reconsider the factorization of $2\to 2$ scattering amplitudes in the Regge limit. Expanding the amplitude in gauge invariant operators labelled by the number of…

High Energy Physics - Phenomenology · Physics 2023-07-14 Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

In this paper we evaluate the renormalization constants and anomalous dimensions for the squark wave function and mass within supersymmetric QCD. These results complement the ones obtained in Ref. \cite{Harlander:2009mn} and thus provide…

High Energy Physics - Phenomenology · Physics 2015-05-28 Thomas Hermann , Luminita Mihaila , Matthias Steinhauser

We study the anomalous dimensions for scalar operators for a three-dimensional Chern-Simons theory recently proposed in arXiv:0806.1218. We show that the mixing matrix at two-loop order is that for an integrable Hamiltonian of an SU(4) spin…

High Energy Physics - Theory · Physics 2009-07-09 J. A. Minahan , K. Zarembo

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

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…

High Energy Physics - Theory · Physics 2022-11-09 Alexander Bednyakov , Andrey Pikelner

We extend the resummation of dimensionally-regulated amplitudes to next-to-next-to-leading poles. This requires the calculation of two-loop anomalous dimension matrices for color mixing through soft gluon exchange. Remarkably, we find that…

High Energy Physics - Phenomenology · Physics 2009-04-06 S. Mert Aybat , Lance J. Dixon , George Sterman

We begin a systematic investigation of the anomalous dimension of subleading power N-jet operators in view of resummation of logarithmically enhanced terms in partonic cross sections beyond leading power. We provide an explicit result at…

High Energy Physics - Phenomenology · Physics 2018-04-04 Martin Beneke , Mathias Garny , Robert Szafron , Jian Wang

In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N=4 SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first…

High Energy Physics - Theory · Physics 2014-11-20 T. Lukowski , A. Rej , V. N. Velizhanin

Using background-field method and super-heat-kernel expansion, we derive a master formula for the one-loop UV divergences of the bosonic dimension-6 operators in Standard Model Effective Field Theory (SMEFT). This approach reduces the…

High Energy Physics - Phenomenology · Physics 2019-04-17 Gerhard Buchalla , Alejandro Celis , Claudius Krause , Jan-Niklas Toelstede

We present the results for three-loop gauge field anomalous dimensions in the SM calculated in the background field gauge within the unbroken phase of the model. The results are valid for the general background field gauge parameterized by…

High Energy Physics - Phenomenology · Physics 2013-03-21 A. V. Bednyakov , A. F. Pikelner , V. N. Velizhanin

The Standard Model effective field theory (SMEFT) is the tool of choice for studying deviations of Higgs couplings from the Standard Model predictions. The SMEFT is an expansion in an infinite tower of higher dimension operators, which is…

High Energy Physics - Phenomenology · Physics 2023-05-12 Sally Dawson , Duarte Fontes , Samuel Homiller , Matthew Sullivan

We present the results of two-loop calculations of the anomalous dimension matrix for the Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory for polarized and unpolarized cases. This matrix can be transformed to a triangle…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Kotikov , L. N. Lipatov , V. N. Velizhanin

We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In the case of N=4 SYM, we compute the four-loop anomalous dimension of the twist-two…

High Energy Physics - Theory · Physics 2024-03-08 B. A. Kniehl , V. N. Velizhanin