2012/01/31 by B. C. Tiburzi, Brian C. Tiburzi · 16 citations
Physics and Astronomy · #Hadron #Isovector #Nuclear physics #Nuclear physics research studies #Nucleon #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Renormalization #Renormalization group #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.85.054020
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 85(5) (American Physical Society) · 16 pages, 2 figures, v2: statements pertaining to isovector parity violation corrected, refs added, results unchanged
arxiv created 2012/03/05 · openalex publication_date 2012/03/23 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The flavor-conserving nonleptonic 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 nonperturbatively 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.