Direct test of time reversal invariance violation in B mesons

Abstract

In this letter we reinterpret and reanalyze the available data of the B meson factories showing the existence of direct experimental evidence of time reversal invariance violation in B mesons. This reinterpretation consists of using the available observables to define a new observable which, in a model independent way and without assuming CPT invariance, compares a transition between a $B^0$ and a here-defined $B_{\alpha }$-state, with its time reversed transition. The observable then offers a direct way to probe time reversal invariance and it is therefore independent of any conclusion obtained from current experimental information on CP violation and CPT invariance. As far as the authors are concerned, this is the first direct evidence of time reversal invariance violation in B mesons and also the first one obtained from decaying particles whose mean life time difference is negligible.

arXiv comment9 pages, no figures. Refined version matching published article in Modern Physics Letters A

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• Rigorous limits for hadronic and semi-leptonic CP-violating coupling constants from the electric dipole moment of ${}^{199}$Hg
• Electric dipole moment of ${}^{225}$Ra due to P- and T-violating weak interactions
• Subtleties in the BaBar measurement of time-reversal violation
• Using time-dependent indirect $CP$ asymmetries to measure $T$ and $CPT$ violation in $B^0$-${\bar{B}}^0$ mixing
• T Violation and CPT Tests in Neutral-Meson Systems
• Behaviour of observables for neutral meson decaying to two vectors in the presence of $T$, $CP$ and $CPT$ violation in mixing only
• Experimental prospects for C, P, T, CP, and CPT tests
• Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors
• Trapping Penguins with Entangled B Mesons
• Observability of`Cascade Mixing' in B0 --> J/psi K0
• Refined Applications of the "Collapse of the Wavefunction"
• Precise Discussion of Time-Reversal Asymmetries in B-meson decays