Testing CPT invariance by using C-even neutral-meson-antimeson correlated states

Abstract

We consider the decays of a correlated neutral-meson-antimeson state with Cparity +1. We show that there is CPT noninvariance in the mixing of the neutral mesons if, for any two decay modes f and g, the decay rate has a component R A which is antisymmetric under the interchange of the decay times t 1 and t 2 . In particular, one may cleanly extract the CPT-noninvariance parameter with the help of R A by using opposite-sign dilepton events.

Possible test forCPTinvariance with correlated neutralBdecays

“…There are several analyses performed which in most cases also involve a detailed time dependent study and/or flavor tagging [9,8,10,11,12]. In comparison with other known CP T studies, we find certain qualitative similarities as well as differences.…”

“…The latter feature is similar to what we find in our present analysis when we assume negligible CP effects. On the other hand, as observed in [11], for zero width difference, the CP T violating observable is sensitive to the imaginary part of the CP T violating parameter. This is different in our case (when we neglect CP violation), as we shall show when we discuss the B s system.…”

Tests of CPT invariance for neutral flavored meson-antimeson mixing

“…In view of the previous difficulties [8][9][10] in achieving this last goal by using the decay rates R ± for correlated decays of the C-even and C-odd |M 0M 0 states, we have further investigated semileptonic decays in this context. We have shown in Section VII (see also Ref.…”

“…We will demonstrate the importance of the C-even state [8]-particularly for disentangling CPT violation from violation of the ∆F = ∆Q rule (F means flavour and may be S or C or B) in semileptonic decays; both these violations could arise from physics beyond the Standard Model. One may note that it is important to allow new physics through violations of the ∆F = ∆Q rule if one is looking for new physics through CPT violation, especially because of the similarity [9,10] of the effects of these two types of violations.…”

“…(2.3) and (2.4), transition rates can be expressed as functions of only two amplitudes, say a and b; therefore, in any theory using the LVR (e.g., the LOY theory) these equations are often useful in algebraic manipulations. The remaining part of the WWA can be expressed as [7] 8) where both the real and imaginary parts of the phase-convention-independent parameter θ are in principle measurable and violate both CP and CPT; the quantity |q/p| − 1 is a measure of CP and T violation in mixing. Then we can write…”