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Connecting baryon light-front wave functions to quasitransverse-momentum-dependent correlators in lattice QCD

Simone Rodini*, Andrea Schiavi†, and Barbara Pasquini‡

  • *Contact author: simone.rodini@unipv.it
  • †Contact author: andrea.schiavi01@universitadipavia.it
  • ‡Contact author: barbara.pasquini@unipv.it

Phys. Rev. D 114, 014055 – Published 27 July, 2026

DOI: https://doi.org/10.1103/3qst-66gk

Abstract

The light-front wave functions (LFWFs) of a hadron are nonperturbative objects that encode information on the configurations of the constituent partons. We show how to extract the LFWFs of baryons, such as the proton, from equal-time correlators suitable for lattice QCD simulations. Using an operator product expansion, we prove the factorization of the relevant correlator in the three-quark color-singlet LFWF, a residual lattice factor, and a soft factor that systematically subtracts the additional divergences arising from the factorization. We verify up to next-to-leading order the independent renormalizability of the LFWF, and we derive the evolution equations that govern its scale dependence.

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