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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1016/0168-1591(89)90048-8

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1029-8479

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OPE of the pseudoscalar gluonium correlator in mas

Authors: MF Zoller
Publish Date: 2013/07/08
Volume: 2013, Issue: 7, Pages: 40-
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Abstract

In this paper analytical results are presented for higher order corrections to coefficient functions of the operator product expansion OPE for the correlator of two pseudoscalar gluonium operators mathopOlimitssim 1=Gmu vmathopGlimitssim mu v The Wilson coefficient in front of the scalar gluon condensate operator O 1=frac14Gmu vG mu v is given at threeloop accuracy The leading coefficient C 0 in front of the unity operator O 0 = 1 has been calculated up to threeloop order some time ago 1 but has been checked independently in this work It is interesting to see that the coefficient C 1 in the pseudoscalar case is finite whereas contact terms appear in C 0 in this case and in both coefficients C 0 and C 1 in the cases of the scalar gluonium correlator and the energy momentum tensor correlator 2 For the corresponding Renormalization Group invariant Wilson coefficients which are also constructed the results are partially extended to fourloop accuracy All results are given in the overlinemathrmMSmathrmscheme at zero temperature

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