Using time-dependent indirect $CP$ asymmetries to measure $T$ and $CPT$ violation in $B^0$-${\bar{B}}^0$ mixing

Abstract

Quantum field theory, which is the basis for all of particle physics, requires that all processes respect $CPT$ invariance. It is therefore of paramount importance to test the validity of $CPT$ conservation. In this Letter, we show that the time-dependent, indirect $CP$ asymmetries involving $B$ decays to a $CP$ eigenstate contain enough information to measure $T$ and $CPT$ violation in $B^0$-${\bar{B}}^0$ mixing, in addition to the standard $CP$-violating weak phases. Entangled $B^0{\bar{B}}^0$ states are not required (so that this analysis can be carried out at LHCb, as well as at the $B$ factories), penguin pollution need not be neglected, and the measurements can be made even if the $B^0$-${\bar{B}}^0$ width difference vanishes.

10 pages, no figures, changes: removed almost all discussion of what can and cannot be done with the method of entangled states; explained that CPT- and T-violating parameters also contribute to CP-violating effects; reorganized the presentation of the paper; added footnotes and references

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Cited by in corpus (5)

• Behaviour of observables for neutral meson decaying to two vectors in the presence of $T$, $CP$ and $CPT$ violation in mixing only
• Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors
• Laser-assisted kaon decay and CPT symmetry violation
• Effect of $K^0-{\bar{K}}^0$ Mixing on CP and CPT Violations in $B_c^{\pm }\to B^{\pm }{K}_{S,L}^0$ Decays
• New constraints on CPT symmetry violation in charm mesons