Axion Couplings in Gauged $U(1{)}^{\prime }$ Extensions of the Standard Model

Abstract

We explore the effective theory of an axion in a gauged baryon number symmetry extension of the Standard Model (SM), where the axion is realized from a Dine-Fischler-Srednicki-Zhitnitsky (DFSZ) model construction. Integrating out the anomalons realizes a pattern of effective Wilson coefficients reflecting the factorization between the anomalous Peccei-Quinn and gauged baryon number symmetries. We construct and analyze the chiral transformation invariance of the axion effective theory, accounting for possible flavor-violating axion couplings. We calculate and study the unique phenomenology of the axion and $Z^{\prime }$ boson, and we present the current collider limits on these particles in the $\{m_{Z^{\prime }},g_B\}$, $\{m_a,G_{a{\hat{I}}^3{\hat{I}}^3}\}$, and $\{m_a,f_a^{-1}\}$ planes.

33 pages, 7 figures