Hadronic Parity Violation at Next-to-Leading Order

Abstract

The flavor-conserving non-leptonic weak interaction can be studied experimentally through the observation of parity violation in nuclear and few-body systems. At hadronic scales, matrix elements of parity-violating four-quark operators ultimately give rise to the parity violating couplings between hadrons, and such matrix elements can be calculated non-perturbatively using lattice QCD. In this work, we investigate the running of isovector parity-violating operators from the weak scale down to hadronic scales using the renormalization group. We work at next-to-leading order in the QCD coupling, and include both neutral-current and charged-current interactions. At this order, results are renormalization scheme dependent, and we utilize 't Hooft-Veltman dimensional regularization. The evolution of Wilson coefficients at leading and next-to-leading order is compared. Next-to-leading order effects are shown to be non-negligible at hadronic scales.

16 pages, 2 figures, v2: statements pertaining to isovector parity violation corrected, refs added, results unchanged

References in corpus (4)

• An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering
• On a redundancy in the parity-violating 2-nucleon contact Lagrangian
• Lattice QCD Calculation of Nuclear Parity Violation
• Parity-violating neutron spin rotation in hydrogen and deuterium

Cited by in corpus (12)

• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• The Theory of Parity Violation in Few-Nucleon Systems
• The parity-violating nucleon-nucleon force in the 1/N_c expansion
• Parity- and time-reversal-violating nuclear forces
• Violations of discrete space-time symmetries in chiral effective field theory
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Isotensor Hadronic Parity Violation
• Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• QCD Analysis of $\Delta S=0$ Hadronic Parity Violation
• Parity-violating $\pi NN$ coupling constant from the flavor-conserving effective weak chiral Lagrangian
• $\Delta S=0$ Hadronic Parity Violation in Next-to-Leading Order QCD: Anomalous Dimension Matrices and Their Implications