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2020

Transverse momentum dependent factorization for lattice observables

Vladimirov, Alexey A., Schäfer, Andreas

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Using soft collinear effective field theory, we derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) operator.

We check the factorization theorem at one-loop level and compute the corresponding coefficient function and anomalous dimensions.
The factorized expression is built from the physical TMD distribution, and a nonperturbative lattice related factor.
We demonstrate that lattice related functions cancel in appropriately constructed ratios.

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