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OPE of the energy-momentum tensor correlator in massless QCD

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Abstract

We analytically calculate higher order corrections to coefficient functions of the operator product expansion (OPE) for the Euclidean correlator of two energy-momentum tensors in massless QCD. These are the three-loop contribution to the coefficient C0 in front of the unity operator O 0 = and the one and two-loop contributions to the coefficient C1 in front of the gluon "condensate" operator \( {O_1}=-\frac{1}{4}{G^{{\mu \nu }}}{G_{{\mu \nu }}} \). For the correlator of two operators O1 we present the coefficient C1 at two-loop level (the coefficient function C 0 is known at four loops from [1]).

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Authors and Affiliations

  1. Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), D-76128, Karlsruhe, Germany

    M. F. Zoller & K. G. Chetyrkin

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  1. M. F. Zoller
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  2. K. G. Chetyrkin
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Correspondence to M. F. Zoller.

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ArXiv ePrint: 1209.1516

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Zoller, M.F., Chetyrkin, K.G. OPE of the energy-momentum tensor correlator in massless QCD. J. High Energ. Phys. 2012, 119 (2012). https://doi.org/10.1007/JHEP12(2012)119

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