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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…

High Energy Physics - Theory · Physics 2021-08-03 Sachin Jain , Vinay Malvimat , Abhishek Mehta , Shiroman Prakash , Nidhi Sudhir

The dimension-four genuine anomalous quartic couplings are studied in processes of six-fermion production via e+e- collisions. Complete tree-level electroweak calculations are performed including initial-state-radiation and beamstrahlung.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fabrizio Gangemi

We apply the critical geometry approach for bounded critical phenomena [1] to $3d$ percolation. The functional shape of the order parameter profile $\phi$ is related via the fractional Yamabe equation to its scaling dimension…

Statistical Mechanics · Physics 2021-10-27 Alessandro Galvani , Andrea Trombettoni , Giacomo Gori

In this paper, forward-backward asymmetry and differential cross section of top quark in flavor violating $Z'$ model up to $\mathscr{O}(\alpha_s^2 \alpha_X)$ at Tevatron are calculated. In order to account for the top observed large…

High Energy Physics - Phenomenology · Physics 2010-09-21 Bo Xiao , You-kai Wang , Shou-hua Zhu

We present the formalism to calculate d-dimensional critical exponents in QCD in the large N_f expansion where N_f is the number of quark flavours. It relies in part on demonstrating that at the d-dimensional fixed point of QCD the critical…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ciuchini , S. E. Derkachov , J. A. Gracey , A. N. Manashov

We investigate the consistency requirements of the next-to leading BFKL equation with the renormalization group, with particular emphasis on running coupling effects and NL anomalous dimensions. We show that, despite some model dependence…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Camici , M. Ciafaloni

I reconsider the forward-backward asymmetry for flavoured quarks in electron-positron annihilation. I suggest an infrared-safe definition of this observable, such that the asymmetry may be computed in perturbative QCD with massless quarks.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Weinzierl

Recently, Grabowska and Kaplan proposed a four-dimensional lattice formulation of chiral gauge theories on the basis of a chiral overlap operator. We compute the classical continuum limit of the fermion number anomaly in this formulation.…

High Energy Physics - Lattice · Physics 2019-12-06 Hiroki Makino , Okuto Morikawa

The mode number of the Dirac operator scales with an exponent related to the mass anomalous dimension gamma_m. This relation holds both in IR-conformal systems, as well as in confining systems for large enough eigenvalues. We investigate…

High Energy Physics - Lattice · Physics 2022-09-21 Anna Hasenfratz , Anqi Cheng , Gregory Petropoulos , David Schaich

Because the chiral-odd structure function h_1 will be measured in the polarized Drell-Yan process, it is important to predict the behavior of h_1 before the measurement. In order to study the Q^2 evolution of h_1, we discuss one and two…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kumano , M. Miyama

We present numerical results for non-compact three-dimensional QED for numbers of flavors N_f=1 and N_f=4.In particular, we address the issue of whether chiral symmetry is spontaneously broken in the continuum limit, and obtain a positive…

High Energy Physics - Lattice · Physics 2009-11-10 S. J. Hands , J. B. Kogut , L. Scorzato , C. G. Strouthos

In a {\cal N}=1 superspace formulation of {\cal N}=4 Yang-Mills theory we obtain the anomalous dimensions of chiral operators with large R charge J \to \infty keeping g^2 N/J^2 finite, to all orders of perturbation theory in the planar…

High Energy Physics - Theory · Physics 2009-11-07 Alberto Santambrogio , Daniela Zanon

We propose a new entry within the dictionary of the AdS/CFT duality at strong coupling: in the limit of a large spin or a large R-charge, the anomalous dimension of the gauge theory operator dual to a semiclassical rotating string is…

High Energy Physics - Theory · Physics 2015-06-19 Nelson R. F. Braga , Edmond Iancu

We formally extend the CFT techniques introduced in arXiv:1505.00963, to $\phi^{\frac{2d_0}{d_0-2}}$ theory in $d=d_0-\epsilon$ dimensions and use it to compute anomalous dimensions near $d_0=3, 4$ in a unified manner. We also do a similar…

High Energy Physics - Theory · Physics 2015-10-23 Pallab Basu , Chethan Krishnan

Evolution equations for leading twist operators in high orders of perturbation theory can be restored from the spectrum of anomalous dimensions and the calculation of the special conformal anomaly at one order less using conformal symmetry…

High Energy Physics - Phenomenology · Physics 2021-05-26 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

The flavour singlet axial Ward identity with Osterwalder-Seiler twisted mass Wilson fermion action is studied on a finite lattice, with finite fermion mass and the Wilson parameter r up to 1. Approach to the infinite volume chiral limit and…

High Energy Physics - Lattice · Physics 2010-02-26 Asit K. De , A. Harindranath , Santanu Mondal

Single-scale quantities, like the QCD anomalous dimensions and Wilson coefficients, obey difference equations. Therefore their analytic form can be determined from a finite number of moments. We demonstrate this in an explicit calculation…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. Blümlein , M. Kauers , S. Klein , C. Schneider

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 investigate whether it is possible to extract the quark mass anomalous dimension and its scale dependence from the spectrum of the twisted mass Dirac operator in Lattice QCD. The answer to this question appears to be positive, provided…

High Energy Physics - Lattice · Physics 2014-10-08 Krzysztof Cichy

We discuss an AdS / QCD model that consider anomalous dimensions. The effect of this kind of dimensions is considered as a mass term that depend on holographical coordenate for duals modes in bulk.

High Energy Physics - Phenomenology · Physics 2011-03-10 Alfredo Vega , Ivan Schmidt