The spin-dependent quark beam function at NNLO

Abstract

We calculate the beam function for longitudinally-polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the $N$-jettiness event-shape variable in polarized collisions through the NNLO level. We present all technical details of our derivation. As a by-product of our calculation we provide the first independent check of the previously-obtained unpolarized quark beam function. We anticipate that our result will have phenomenological applications in describing data from polarized collisions.

18 pages, 3 figures, references added, corrections made in some equations

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Cited by in corpus (2)

• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• Two-loop $N$-jettiness soft function for $pp\to 2j$ production