Top forward-backward asymmetry and the CDF Wjj excess in leptophobic U(1)' flavor models

We construct anomaly-free leptophobic U(1)’ flavor models with light Z’(~ 145 GeV). In order to allow renormalizable Yukawa interactions for the standard model chiral fermions, new Higgs doublets with nonzero U(1)’ charges are introduced. Then the neutral (pseudo)scalar Higgs bosons as well as Z’ contribute to the t\bar{t} and the same sign top pair productions [\sigma(t\bar{t}]) and \sigma(tt)], and one can evade the strong constraint from \sigma(tt). The top forward-backward asymmetry (A_{FB}) and Wjj excess at CDF could be accommodated by A_{FB}^{New} = 0.084 ~ 0.12 and \sigma(W j j) \lesssim O(10) pb \times \sin^2 2 \beta.