Model of SoftCPViolation Using Scalars with Quark Number Two

Abstract

We propose a model of soft CP violation that evades the strong CP problem and can describe observed CP violation in the neutral kaon sector, both direct and indirect. Our model requires two "duark" mesons carrying quark number two that have complex (CP-violating) bare masses and are coupled to quark pairs. Aside from the existence of these potentially observable new particles with masses of several hundred GeV, we predict a flat unitarity triangle (i.e., no observable direct CP violation in the B-meson sector) and a possibly anomalous branching ratio for the decay mode K+-->pi(+)+nu(nu).

Spontaneous Cp Violation: Alternative to the Standard Model

“…1, with two incoming strange quarks and two exiting down quarks, generates an effective 4-fermion coupling of the form (JZ^SL) (dz,7/iSi,) which must be wholly responsible for indirect CP violation in the neutral kaon sector. Setting its coefficient equal to the experimentally determined value of e AITIK, one obtains 10 the constraint: ^^2x 10" 8 GeV" 1 (4) with af = / 2 /47r and M an estimate of the duark mass scale. We turn to the question direct CP violation in the kaon sector, such as discussed in Refs.…”

“…3 This dramatic departure from naturality is the gist of the strong CP problem, whose solution is a primary goal of this paper which is based on work with Glashow and Yoshikawa. 4 There are other reasons to consider alternatives to the standard description of CP violation: Recall that the CP-violation implicit in the standard model does not seem to be sufficient to implement the prescient idea of Sakharov through which the baryonic asymmetry of the universe may be generated. 5 Furthermore it would seem useful to have other models in hand in the event that experiments now being carried out do not confirm the standard-model prediction that sin 2/?…”

SUFFICIENTLY SMALL $\bar\theta$inSU(3)3 × S3 UNIFICATION MODEL

“…From the viewpoint of fundamental theory, the data suggest that explicit CP violation is at work and disfavor models based on soft CP violation [4] which generically, although not universally, predicted a value of sin 2β too small to be observable in the present B Factories.…”

The diquark model: New Physics effects for charm and kaon decays

“…As mentioned in the Introduction, let us now imagine the theory with the spin 0 diquark χ with the quantum numbers as follows [10,11,8], i.e.…”

“…Possible CP violation effects in the mixing, the direct decay, and the interference between those two processes, characterized by A M , A D , and φ respectively, can affect the three terms in (8), where, to leading order, both x ′ and y…”