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

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