Abstract
Direct CP-violation can exist in untagged, neutral B-meson decays to certain self-conjugate, hadronic final states. It can occur if the resonances which appear therein permit the identification of distinct, CP-conjugate states—in analogy to stereochemistry, we term such states “CP-enantiomers”. These states permit the construction of a CP-odd amplitude combination in the untagged decay rate, which is non-zero if direct CP-violation is present. The decay B→π+π−π0, containing the distinct CP-conjugate states ρ+π− and ρ−π+, provides one such example of a CP-enantiomeric pair. We illustrate the possibilities in various multi-particle final states.
Highlights
Direct CP violation can exist in untagged, neutral B-meson decays to certain self-conjugate, hadronic final states
The measurement of a non-zero value of Re( / ) in K → ππ decays establishes the existence of direct CP violation in nature [1], and provides an important first check of the mechanism of CP violation in the Standard Model (SM)
The rich resonance structure of the multiparticle (n ≥ 2) final states accessible in heavy meson decays provides the possibility of observing direct CP violation without tagging the flavor of the decaying, neutral meson
Summary
Direct CP violation can exist in untagged, neutral B-meson decays to certain self-conjugate, hadronic final states. The rich resonance structure of the multiparticle (n ≥ 2) final states accessible in heavy meson decays provides the possibility of observing direct CP violation without tagging the flavor of the decaying, neutral meson. The familar condition for the presence of direct CP violation, |Af/Af | = 1, can be met by a non-zero value of the partial rate asymmetry, so that, seemingly, one would want to distinguish empirically a decay with amplitude Af from that of its CP-conjugate mode with amplitude Af. in neutral B, D-meson decays to self-conjugate final states [9,10,11], direct CP violation in untagged decays may occur.
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