An approach to the instanton effect in B system

TL;DR

This paper investigates the constraints on instanton effects in QCD, particularly their impact on light quark masses, by analyzing heavy meson mass spectra within effective theory, providing new bounds consistent with previous light meson studies.

Contribution

It introduces a novel constraint on instanton-induced light quark mass corrections using heavy meson spectra, extending previous analyses from light mesons.

Findings

Heavy meson masses provide constraints comparable to light meson analyses.

Constraints could be strengthened with future experimental and lattice data.

Instanton effects are limited in magnitude, affecting light quark masses minimally.

Abstract

We discuss the constraint on the size of QCD instanton effects in low-energy effective theory. Among various instanton effects in meson mass spectrum and dynamics, we concentrate on the instanton-induced masses of light quarks. The famous instanton-induced six-quark interaction, so-called 't Hooft vertex, could give non-perturbative quantum corrections to light quark masses. Many works have already been achieved to constrain the mass corrections in light meson system, or the system of pi, K, eta and eta', and now we know for a fact that the instanton-induced mass of up-quark is too small to realize the solution of the strong CP problem by vanishing current mass of up-quark. In this work we give a constraint on the instanton-induced mass correction to light quarks from the mass spectrum of heavy mesons, B+, B0, Bs and their anti-particles. To accomplish this, the complete second order chiral symmetry breaking terms are identified in heavy meson effective theory. We find that the strength of the constraint from heavy meson masses is at the same level of that from light mesons, and it would be made even stronger by more precise data from future B factories and lattice calculations.