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Related papers: EFT anomalous dimensions from the S-matrix

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We extend the recent formalism developed for computing rapidity anomalous dimension of form factors using unitarity to the problem of high-energy near forward scattering. By combining the factorization of $2\rightarrow 2$ scattering in the…

High Energy Physics - Phenomenology · Physics 2024-10-10 Ira Z. Rothstein , Michael Saavedra

We present a new approach to calculation of anomalous dimensions in the framework of $\epsilon$-expansion and renormalization group method. This approach allows one to skip the calculation of renormalization constants and express anomalous…

Statistical Mechanics · Physics 2015-06-17 L. Ts. Adzhemyan , M. V. Kompaniets

Future high luminosity polarized deep--inelastic scattering experiments will improve both the knowledge of the spin sub--structure of the nucleons and contribute further to the precision determination of the strong coupling constant, as…

High Energy Physics - Phenomenology · Physics 2022-02-16 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

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 show that, by viewing a 4D effective-field theory as the infrared (IR) limit of the compactified version in 5D, we can compute two-loop anomalous dimensions without gauge-breaking counter-terms, IR re-arrangement or geometric methods.…

High Energy Physics - Phenomenology · Physics 2025-12-04 Mikael Chala , Javier López Miras

We compute the complete $Q$-dependence of anomalous dimensions of traceless symmetric tensor operator $\phi^Q$ in $O(N)$ scalar theory to five-loop. The renormalization factors are extracted from $\phi^Q\rightarrow Q\phi$ form factors, and…

High Energy Physics - Theory · Physics 2022-08-30 Qingjun Jin , Yi Li

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…

High Energy Physics - Lattice · Physics 2016-05-04 Joel Giedt

We consider four-dimensional N=2 superconformal field theories based on ADE quiver diagrams. We use the procedure of hep-th/0206079 and compute the exact anomalous dimensions of operators with large U(1)_R charge to all orders in…

High Energy Physics - Theory · Physics 2009-11-07 Yaron Oz , Tadakatsu Sakai

We present the Standard Model Effective Field Theories (SMEFT) from purely on-shell arguments. Starting from a few basic assumptions such as Poincar\'e invariance and locality, we classify all the renormalisable and non-renormalisable…

High Energy Physics - Theory · Physics 2022-05-04 Manuel Accettulli Huber , Stefano De Angelis

We extend and develop a method for perturbative calculations of anomalous dimensions and mixing matrices of leading twist conformal primary operators in conformal field theories. Such operators lie on the unitarity bound and hence are…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky , J. Henn , C. Jarczak , D. Müller , E. Sokatchev

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

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 derive two-loop anomalous dimensions for four-Fermi operators in supersymmetric theories using the effective Kahler potential. We introduce the general forms in generic gauge theories and apply our results to the flavor-changing…

High Energy Physics - Phenomenology · Physics 2017-07-13 Junji Hisano , Takumi Kuwahara , Yuji Omura , Takeki Sato

We show that the analyticity and crossing symmetry of the S-matrix, together with the optical theorem, impose restrictions on the renormalisation group evolution of dimension-eight operators in the Standard Model Effective Field Theory.…

High Energy Physics - Phenomenology · Physics 2024-02-07 Mikael Chala

In this paper we consider anomalous dimensions of double trace operators at large spin ($\ell$) and large twist ($\tau$) in CFTs in arbitrary dimensions ($d\geq 3$). Using analytic conformal bootstrap methods, we show that the anomalous…

High Energy Physics - Theory · Physics 2015-07-21 Apratim Kaviraj , Kallol Sen , Aninda Sinha

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

A model of the passive vector field advected by the uncorrelated in time Gaussian velocity with power-like covariance is studied by means of the renormalization group and the operator product expansion. The structure functions of the…

Chaotic Dynamics · Physics 2009-11-11 S. V. Novikov

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

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

We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites. We then use the Bethe ansatz to find…

High Energy Physics - Theory · Physics 2009-11-07 J. A. Minahan , K. Zarembo