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We propose a new framework for computing three-point functions in planar $\mathcal{N}=4$ super Yang-Mills where these correlators take the form of multiple integrals of Separation of Variables type. We test this formalism at weak coupling…

High Energy Physics - Theory · Physics 2022-11-24 Carlos Bercini , Alexandre Homrich , Pedro Vieira

We consider four-point functions of operators in the stress tensor multiplet of the 3d $\mathcal{N}=6$ $U(N)_k\times U(N+M)_{-k}$ or $SO(2)_{2k}\times USp(2+2M)_{-k}$ ABJ theories in the limit where $M$ and $k$ are taken to infinity while…

High Energy Physics - Theory · Physics 2021-05-12 Damon J. Binder , Shai M. Chester , Max Jerdee

In the framework of the chiral perturbation theory we computed two- and three-loop corrections to the pion parton distributions which posses $\delta$-function singularities at x->0. This calculation explicitly demonstrates that in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Kivel , M. V. Polyakov

We present the three-point function of two spin-two and one scalar twist-two operators in N=4 SYM up to three perturbative orders at weak coupling, obtained via a direct Feynman diagrammatic calculation.

High Energy Physics - Theory · Physics 2023-09-04 Marco S. Bianchi

Corrections motivated by chiral symmetry arguments have long been known to give important contributions to hadronic observables, particularly at low momentum transfer. It is possible to separate these approaches into two broad groups;…

Nuclear Theory · Physics 2018-08-15 Robert J. Perry , Manuel E. Carrillo-Serrano , Anthony W. Thomas

We study extremal correlation functions of chiral primary operators in the large-N SU(N) ${\cal N} = 2$ superconformal QCD theory and present new results based on supersymmetric localization. We discuss extensively the basis-independent…

High Energy Physics - Theory · Physics 2017-03-08 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas , Gideon Vos

We compute spinning four point functions in the quasi-fermionic three dimensional conformal field theory with slightly broken higher spin symmetry at finite t'Hooft coupling. More concretely, we obtain a formula for $\langle j_s…

High Energy Physics - Theory · Physics 2021-05-26 Joao A. Silva

We compute three-point functions of single trace operators in planar N=4 SYM. We consider the limit where one of the operators is much smaller than the other two. We find a precise match between weak and strong coupling in the…

High Energy Physics - Theory · Physics 2015-05-28 Jorge Escobedo , Nikolay Gromov , Amit Sever , Pedro Vieira

We analyse the general structure of the three-point functions involving conserved bosonic and fermionic higher-spin currents in three-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation…

High Energy Physics - Theory · Physics 2023-02-14 Evgeny I. Buchbinder , Benjamin J. Stone

BCJ relation reveals a dual between color structures and kinematic structure and can be used to reduce the number of independent color-ordered amplitudes at tree level. Refer to the loop-level in Yang-Mills theory, we investigate the…

High Energy Physics - Theory · Physics 2015-06-05 Yi-Jian Du , Hui Luo

We study corrections to the Heisenberg interaction between several lateral, single-electron quantum dots. We show, using exact diagonalization, that three-body chiral terms couple triangular configurations to external sources of flux rather…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. W. Scarola , K. Park , S. Das Sarma

We construct the three-dimensional effective field theory which reproduces low-momentum static correlation functions in four-dimensional quantum field theories with U(1) axial anomalies and a dynamical vector gauge field, in thermal…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen , Pavel Kovtun , Adam Ritz

We consider multi-particle contributions to nucleon two- and three-point functions from the perspective of chiral dynamics. Lattice nucleon interpolating operators, which have definite chiral transformation properties, can be mapped into…

High Energy Physics - Lattice · Physics 2015-05-27 Brian C. Tiburzi

We perform extensive three-loop tests of the hexagon bootstrap approach for structure constants in planar $\mathcal{N}=4$ SYM theory. We focus on correlators involving two BPS operators and one non-BPS operator in the so-called $SL(2)$…

High Energy Physics - Theory · Physics 2015-10-07 Benjamin Basso , Vasco Goncalves , Shota Komatsu , Pedro Vieira

We consider two-point correlators in SU(N) gauge theories on R4 with N=2 supersymmetry and Nf massless hypermultiplets in the fundamental representation. Using localization on S4, we compute the leading perturbative corrections to the…

High Energy Physics - Theory · Physics 2018-03-14 M. Billo , F. Fucito , A. Lerda , J. F. Morales , Ya. S. Stanev , Congkao Wen

In this paper we develop a supersymmetric version of unitarity cut method for form factors of operators from the chiral truncation of the the $\mathcal{N}=4$ stress-tensor current supermultiplet $T^{AB}$. The relation between the superform…

High Energy Physics - Theory · Physics 2012-01-11 L. V. Bork , D. I. Kazakov , G. S. Vartanov

Two-loop contributions to the anomalous correlation function <J_mu(x)J_nu(y)J_rho(z)> of three chiral currents are calculated by a method based on the conformal properties of massless field theories. The method was previously applied to…

High Energy Physics - Theory · Physics 2009-10-08 Joshua Erlich , Daniel Z. Freedman

We compute three-point correlation functions in the near-extremal, near-horizon region of a Kerr black hole, and compare to the corresponding finite-temperature conformal field theory correlators. For simplicity, we focus on scalar fields…

High Energy Physics - Theory · Physics 2011-02-09 Melanie Becker , Sera Cremonini , Waldemar Schulgin

We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion…

High Energy Physics - Phenomenology · Physics 2021-05-05 Qingjun Jin , Ke Ren , Gang Yang

We study the imaginary parts of the isoscalar electromagnetic and isovector axial form factors of the nucleon close to the $3\pi$-threshold in covariant baryon chiral perturbation theory. At the two-loop level, the contributions arising…

Nuclear Theory · Physics 2019-03-27 N. Kaiser , E. Passemar
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