Large-N(c) limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory

TL;DR

This paper demonstrates that in pionless effective field theory, the large-N(c) limit simplifies the parity-violating nucleon-nucleon interactions by reducing the number of independent low-energy constants from five to two, streamlining experimental and computational efforts.

Contribution

The study shows that the large-N(c) limit imposes symmetry constraints that significantly reduce the complexity of parity-violating interactions in pionless EFT, revealing a relation between isoscalar LECs.

Findings

Number of independent LECs reduced from five to two in large-N(c) limit.

Established a relation between the two isoscalar LECs.

Implications for fewer experiments and lattice calculations needed.

Abstract

The symmetries of the Standard Model dictate that for very low energies, where nucleon dynamics can be described in terms of a pionless effective field theory, the leading-order parity-violating nucleon-nucleon Lagrangian contains five independent unknown low-energy constants (LECs). We find that imposing the approximate symmetry of QCD that appears when the number of colors N(c) becomes large reduces the number of independent LECs to two at leading order in the combined pionless effective field theory and large-N(c) expansions. We also find a relation between the two isoscalar LECs in the large-N(c) limit. This has important implications for the number of experiments and/or lattice calculations necessary to confirm this description of physics.