Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transverse momentum dependent factorization for lattice observables   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. These ratios could be used to explore various properties of
TMD distributions, for instance, the nonperturbative evolution kernel. A
discussion of such ratios and the related continuum properties of TMDs is
presented.

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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess