Theory Seminar: Stella Schindler

  • Theory Seminar: Stella Schindler
    CC F224-225
    2022-10-03EDT13:00:00 ~ 2022-10-03EDT14:00:00
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Speaker: Stella Schindler (MIT)

Title: Enabling lattice calculation of TMDs via factorization

Abstract: Transverse momentum distributions (TMDs) encode the three-dimensional momentum structure of quarks and gluons inside hadrons. Global fits to experimental data exhibit large uncertainties for non-perturbative parton momenta, a kinematic region where lattice QCD is typically well-positioned to provide complementary information. Unfortunately, TMD dynamics are dominated by the lightcone, which induces a so-called sign problem, an obstacle to numerics that is NP-hard in the general case. To circumvent this issue, lattice theorists typically project Wilson lines appearing in TMD matrix elements from a lightcone path onto an equal-time slice. We derive a factorization formula connecting the resulting lattice-calculable equal-time distributions (“quasi-TMDs”) to the TMDs that appear in cross-sections (Collins scheme). This formula holds at leading power to all orders in a_s, for all spins and parton flavors. This rigorously connects lattice calculations and physical TMDs for the first time, and opens the path towards computing gluon TMDs.

Event Date
CC F224-225
Scientific Program
Contact Name
Patrick Barry
(708) 612-0198