Abstract
We consider the short-distance expansion of the product of two gluon field strength tensors connected by a straight-line-ordered Wilson line. The vacuum expectation value of this nonlocal operator is a common object in studies of the QCD vacuum structure, whereas its nucleon expectation value is known as the gluon quasi-parton distribution and is receiving a lot of attention as a tool to extract gluon distribution functions from lattice calculations. Extending our previous study [1], we calculate the three-loop coefficient functions of the scalar operators in the operator product expansion up to dimension four. As a by-product, the three-loop anomalous dimension of the nonlocal two-gluon operator is obtained as well.
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Braun, V.M., Chetyrkin, K.G. & Kniehl, B.A. Operator product expansion of the non-local gluon condensate. J. High Energ. Phys. 2021, 231 (2021). https://doi.org/10.1007/JHEP05(2021)231
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DOI: https://doi.org/10.1007/JHEP05(2021)231