Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorization connecting continuum and lattice TMDs   Transverse-momentum-dependent parton distribution functions (TMDs) can be
studied from first principles by a perturbative matching onto
lattice-calculable quantities: so-called lattice TMDs, which are a class of
equal-time correlators that includes quasi-TMDs and TMDs in the
Lorentz-invariant approach. We introduce a general correlator that includes as
special cases these two Lattice TMDs and continuum TMDs, like the Collins
scheme. Then, to facilitate the derivation of a factorization relation between
lattice and continuum TMDs, we construct a new scheme, the Large Rapidity (LR)
scheme, intermediate between the Collins and quasi-TMDs. The LR and Collins
schemes differ only by an order of limits, and can be matched onto one another
by a multiplicative kernel. We show that this same matching also holds between
quasi and Collins TMDs, which enables us to prove a factorization relation
between these quantities to all orders in $\alpha_s$. Our results imply that
there is no mixing between various quark flavors or gluons when matching
Collins and quasi TMDs, making the lattice calculation of individual flavors
and gluon TMDs easier than anticipated. We cross-check these results explicitly
at one loop and discuss implications for other physical-to-lattice scheme
factorizations.

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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg