B physics constraints on a flavor symmetric scalar model to account for the ttbar asymmetry and Wjj excess at CDF

TL;DR

This paper evaluates a flavor symmetric scalar model proposed to explain the top quark asymmetry and Wjj excess at CDF, finding it faces significant constraints from B physics and electroweak precision tests, limiting its viability.

Contribution

The paper critically assesses the parameter space of the proposed model, highlighting the tension between explaining CDF anomalies and satisfying experimental constraints.

Findings

Scalar masses need to be above 500 GeV due to electroweak constraints.

Reducing coupling to 0.6 allows Wjj cross section to match observations.

Model cannot simultaneously explain CDF anomalies and satisfy all constraints.

Abstract

Recently Nelson et al. proposed an interesting flavor symmetric model to account for the top quark forward-backward asymmetry and the dijet anomaly at CDF simultaneously with just three parameters: a coupling constant of order one, and two scalar masses of 160 GeV and 220 GeV. However these fiducial values of the parameters lead to the branching ratio of a almost pure penguin B -> pi K decay about one hundred times larger than the experimental results. Consider also the precision electroweak constraints, the scalar masses should be at least around 500 GeV. Actually with the coupling constant larger than one, it is impossible to explain either of the two CDF measurements consistently in this model. But one may raise the charged scalar mass to, for example, 250 GeV and reduce the coupling strength to 0.6 to meet the B physics constraints. With this parameter set, the Wjj cross section is found to be in the right range. But due to the scalar mass splitting, its correction to T-parameter is about 3 sigma away from the precision electroweak constraints. In addition, the top quark forward-backward asymmetry should be well below 0.1 with this small coupling constant.