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Collinear matching for Sivers function at next-to-leading order.

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2019

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Springer
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We evaluate the light-cone operator product expansion for unpolarized transverse momentum dependent (TMD) operator in the background-field technique up twist-3 inclusively. The next-to-leading order (NLO) matching coefficient for the Sivers function is derived. The method, as well as many details of the calculation are presented.

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© 2019 Springer. A.V. gratefully acknowledges V. Braun and A. Manashov for numerous stimulating discussions and help in clarifying several aspects of higher twist calculus. I.S. is supported by the Spanish MECD grant FPA2016-75654-C2-2-P. A.T. is grateful to J.W. Qiu and W. Vogelsang for valuable discussions and is supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under contract DE-AC02-98CH10886 and in part by the US DOE Transverse Momentum Dependent (TMD) Topical Theory Collaboration.

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