Removing power divergent mixing from nonperturbative matrix elements

ORAL

Abstract

Parton distribution functions (PDFs) are one of the primary theoretical tools connecting hadrons to their constituent quarks and gluons. Ab initio determinations of PDFs from lattice quantum chromodynamics have been hindered by power-divergent mixing arising from the broken Lorentz symmetry of the lattice. We discuss a new method to extract nonperturbative matrix elements free from power divergent mixing. Our method is quite general and extends to a range of lattice calculations subject to power divergent mixing, such as the matrix elements for K to pi pi decays and neutral B-meson mixing.

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Authors

  • Christopher Monahan

    University of Utah

  • John Colton

    Brigham Young University Dept. of Physics and Astronomy, Brigham Young University, None, The College of William and Mary/Jefferson Lab, Brigham Young University-Idaho, Blue Ridge Research and Consulting LLC, Air Force Research Laboratory - Wright Patterson Air Force Base, Brigham Young Univ - Provo, Blue Ridge Research and Consulting, University of Utah, SRI International, Utah State University, Utah Valley University, Los Alamos National Laboratory, Professor, Graduate, United States Air Force Academy, Arizona State Univ, SiO2 NanoTech, Entrepix Inc, AFRL, Advisor, Brigham Young University- Provo, University of New Mexico, Univ of Utah, University of Wisconsin -- Madison, New Mexico Tech Physics Dept., Retired, Department of Physics and Astronomy, University of Utah, Department of Physics \& Astronomy, University of Hawai'i, JILA and University of Colorado, Boulder, National Institute of Standards and Technology, Boulder, University of Colorado, Boulder, Lawrence Berkeley National Laboratory, National Institute of Standards and Technology, Space Dynamics Lab, New Mexico Tech, BYU Professor, Brigham Young University -- Provo, Northern Arizona University, University of Colorado Boulder, Colorado State University, University of Utah, Department of Physics, New Mexico State University