Lattice QCD spectroscopy for hadronic CP violation

Abstract

The interpretation of nuclear electric dipole moment (EDM) experiments is clouded by large theoretical uncertainties associated with nonperturbative matrix elements. In various beyond-the-Standard Model scenarios nuclear and diamagnetic atomic EDMs are expected to be dominated by CP-violating pion-nucleon interactions that arise from quark chromo-electric dipole moments. The corresponding CP-violating pion-nucleon coupling strengths are, however, poorly known. In this work we propose a strategy to calculate these couplings by using spectroscopic lattice QCD techniques. Instead of directly calculating the pion-nucleon coupling constants, a challenging task, we use chiral symmetry relations that link the pion-nucleon couplings to nucleon sigma terms and mass splittings that are significantly easier to calculate. In this work, we show that these relations are reliable up to next-to-next-to-leading order in the chiral expansion in both SU(2) and SU(3) chiral perturbation theory. We conclude with a brief discussion about practical details regarding the required lattice QCD calculations and the phenomenological impact of an improved understanding of CP-violating matrix elements.

16 pages, 2 figures; v2 version accepted for publication

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Cited by in corpus (27)

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• Right-handed charged currents in the era of the Large Hadron Collider
• The phenomenology of electric dipole moments in models of scalar leptoquarks
• Extracting the sigma-term from low-energy pion-nucleon scattering
• An ${\epsilon }^{\prime }$ improvement from right-handed currents
• Towards grounding nuclear physics in QCD
• Opportunities for Fundamental Physics Research with Radioactive Molecules
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• The pion-nucleon sigma term from lattice QCD
• Parity- and time-reversal-violating nuclear forces
• A low-energy perspective on the minimal left-right symmetric model
• On the role of isospin violation in the pion-nucleon $\sigma$-term
• CP-violating axion interactions in effective field theory
• $CP$-odd gluonic operators in QCD spin physics
• Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B
• Relating hadronic CP-violation to higher-twist distributions
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Neutron Electric Dipole Moment on the Lattice
• Flavor decomposition of the pion-nucleon $\sigma$-term
• Revisiting Theoretical Analysis of Electric Dipole Moment of ${}^{129}$Xe
• Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation
• Electric dipole moments of three-nucleon systems in the pionless effective field theory
• Strong CP Violation and large-$N_c$ spin-flavor symmetry
• Electric dipole moments: a theory overview
• Nucleon mass: trace anomaly and $\sigma$-terms
• Uncovering an Axion Mechanism with the EDM Portfolio
• One-loop matching for quark dipole operators in a gradient-flow scheme