Lattice QCD for Precision Nucleon Matrix Elements

Abstract

Precision measurements on nucleons provide constraints on the Standard Model and can also discern the signatures predicted for particles beyond the Standard Model. Knowing the Standard Model inputs to nucleon matrix elements will be necessary to constrain the couplings of dark matter candidates such as the neutralino, to relate the neutron electric dipole moment to the CP-violating theta parameter, or to search for new TeV-scale particles though non-$V-A$ interactions in neutron beta decay. However, these matrix elements derive from the properties of quantum chromodynamics (QCD) at low energies, where the coupling is strong and thus perturbative treatments fail. Using lattice gauge theory, we can nonperturbatively calculate the QCD path integral on a supercomputer. In this proceeding, I will review a few representative areas in which lattice QCD can contribute to understanding the structure inside nucleon and how they can contribute to the search for beyond-the-Standard Model physics, with discussions of the difficulties and prospects for future development.

Invited talk at Conference of Computational Physics 2011. 15 pages, 7 figures

References in corpus (8)

• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Probing Novel Scalar and Tensor Interactions from (Ultra)Cold Neutrons to the LHC
• Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• The strange and light quark contributions to the nucleon mass from Lattice QCD
• Nucleon structure with two flavors of dynamical domain-wall fermions
• Lattice Calculations of Nucleon Electromagnetic Form Factors at Large Momentum Transfer

Cited by in corpus (6)

• Revisiting Scalar and Pseudoscalar Couplings with Nucleons
• Global analyses of Higgs portal singlet dark matter models using GAMBIT
• Global fits of GUT-scale SUSY models with GAMBIT
• Uncertainties in WIMP Dark Matter Scattering Revisited
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• Project X: Physics Opportunities