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We compute the anomalous dimension of the single current operator in the case of single and doubly deformed asymmetric $\lambda$-models with a general deformation matrix. Our method uses the underlying geometry of the coupling space, as…

High Energy Physics - Theory · Physics 2020-08-26 Eftychia Sagkrioti

We calculate all contributions $\propto T_F$ to the polarized three-loop anomalous dimensions in the M-scheme using massive operator matrix elements and compare to results in the literature. This includes the complete anomalous dimensions…

High Energy Physics - Phenomenology · Physics 2019-09-25 A. Behring , J. Blümlein , A. De Freitas , A. Goedicke , S. Klein , A. von Manteuffel , C. Schneider , K. Schönwald

We show that the 4-dimensional N=1/2 supersymmetry algebra admits central extension. The central charges are supported by domain wall and the central charges are computed. We also determine the Konishi anomaly for N=1/2 supersymmetric gauge…

High Energy Physics - Theory · Physics 2010-04-05 Chong-Sun Chu , Takeo Inami

The spin chain formulation of the operator spectrum of the N=4 super Yang-Mills theory is haunted by the problem of ``wrapping'', i.e. the inapplicability of the formalism for short spin chain length at high loop-order. The first instance…

High Energy Physics - Theory · Physics 2007-12-21 B. Eden

We present a two-loop computation of the beta functions and the anomalous dimensions of a $\gamma_5$-Yukawa model using differential renormalization. The calculation is carried out in coordinate space without modifying the space-time…

High Energy Physics - Theory · Physics 2009-10-22 Cristina Manuel

Using the algebraic curve approach we one-loop quantize the folded string solution for the type IIB superstring in AdS(5)xS(5). We obtain an explicit result valid for arbitrary values of its Lorentz spin S and R-charge J in terms of…

High Energy Physics - Theory · Physics 2011-09-12 Nikolay Gromov , Didina Serban , Igor Shenderovich , Dmytro Volin

The spectrum of anomalous dimensions of gauge-invariant operators in maximally supersymmetric Yang-Mills theory is believed to be described by a long-range integrable spin chain model. We focus in this study on its $sl(2)$ subsector spanned…

High Energy Physics - Theory · Physics 2009-12-15 M. Beccaria , A. V. Belitsky , A. V. Kotikov , S. Zieme

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 calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{\rm NS}^+, P_{\rm NS}^-$ and $P_{\rm NS}^{\rm s}$ in QCD in the $\overline{\sf MS}$ scheme by using the traditional method of…

High Energy Physics - Phenomenology · Physics 2021-09-15 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

We examine the equivalence between the Konishi anomaly equations and the matrix model loop equations in N=1* gauge theories, the mass deformation of N=4 supersymmetric Yang-Mills. We perform the superfunctional integral of two adjoint…

High Energy Physics - Theory · Physics 2009-11-10 Taichi Itoh

We discuss the computation of the three loop anomalous dimensions for various operators used in deep inelastic scattering in the MSbar and RI' schemes. In particular the results for the n = 5 and 6 Wilson operators in arbitrary linear…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. Gracey

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

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

The prescription for the $\gamma_5$-matrix within dimensional regularization in multiloop calculations is elaborated. The three-loop anomalous dimension of the singlet axial current is calculated.

High Energy Physics - Phenomenology · Physics 2014-11-17 S. A. Larin

We calculate the all-loop anomalous dimensions of current operators in $\lambda$-deformed $\sigma$-models. For the isotropic integrable deformation and for a semi-simple group $G$ we compute the anomalous dimensions using two different…

High Energy Physics - Theory · Physics 2016-04-29 George Georgiou , Konstantinos Sfetsos , Konstantinos Siampos

We compute the three-loop anomalous dimension of the BMN operators with charges J=0 (the Konishi multiplet) and J=1 in N=4 super-Yang-Mills theory. We employ a method which effectively reduces the calculation to two loops. Instead of using…

High Energy Physics - Theory · Physics 2010-04-05 B. Eden , C. Jarczak , E. Sokatchev

We compute the three loop MSbar anomalous dimension for the 3-quark operator corresponding to the proton. This requires the treatment of gamma^5 within dimensional regularization as well as evanescent operators generated through the…

High Energy Physics - Phenomenology · Physics 2015-06-11 J. A. Gracey

We study the form factors of the Konishi operator, the prime example of non-protected operators in N=4 SYM theory, via the on-shell unitarity methods. Since the Konishi operator is not protected by supersymmetry, its form factors share many…

High Energy Physics - Theory · Physics 2017-03-01 Dhritiman Nandan , Christoph Sieg , Matthias Wilhelm , Gang Yang

We compute the anomalous dimensions of the transversity operator at three loops in the MSbar scheme for fixed moment n where n <= 8. The results for the RI' renormalization scheme are also provided for an arbitrary linear covariant gauge…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. Gracey

We present the result of a full direct component calculation for the first three even moments of the non-planar contribution into the four-loop anomalous dimension of twist-2 operators in maximally extended N=4 supersymmetric Yang-Mills…

High Energy Physics - Theory · Physics 2011-02-01 V. N. Velizhanin