2015
DOI: 10.1103/physrevd.92.054010
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CPviolation: Dalitz interference,CPT, and final state interactions

Abstract: Resonances and final state interactions (FSI) play a role in the formation of CP violation (CPV) constrained by CPT invariance. We provide a general formulation of CPV including resonances and FSI starting from the CPT constraint. Our discussion is elaborated within a simple B decay model with the ρ and f0(980) resonances plus a non resonant background including the ππ → KK coupled amplitude. We consider few illustrative examples to show the interference patterns appearing in the CP asymmetry, namely, that fro… Show more

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Cited by 50 publications
(69 citation statements)
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“…The constraint of CPT applied to the CP asymmetry in the hypotheses of no three-body rescattering contributions, as discussed in the previous section, imply that the integral over the phase space of the asymmetry, computed with Eq. (6), should vanish as discussed in detail in [11]. Concerning the linear term in cos θ, independently of the context it will vanish after integration over the phase-space once it is an odd-function.…”
Section: Model Independent Methods To Extractmentioning
confidence: 97%
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“…The constraint of CPT applied to the CP asymmetry in the hypotheses of no three-body rescattering contributions, as discussed in the previous section, imply that the integral over the phase space of the asymmetry, computed with Eq. (6), should vanish as discussed in detail in [11]. Concerning the linear term in cos θ, independently of the context it will vanish after integration over the phase-space once it is an odd-function.…”
Section: Model Independent Methods To Extractmentioning
confidence: 97%
“…(6), but integrated in s ⊥ , was used in [11] to explore different types of CP asymmetries in charmeless three-body B decays. The formula was applied in the fitting of the integrated experimental distributions released by the LHCb experiment [12].…”
Section: Model Independent Methods To Extractmentioning
confidence: 99%
See 1 more Smart Citation
“…This is because A CP in eq. (4.3) is only generated by a vector-scalar interference, which always comes with a cos θ π term, and hence the CP asymmetry always switches sign when comparing cos θ > 0 and cos θ < 0 (see also [35][36][37] for an elaborate discussion on these issues). However, if the CP asymmetry were dominated by two S or S-D wave interferences, the CP asymmetry would not switch sign, which could be an explanation for the behaviour in this region.…”
Section: Jhep10(2017)117mentioning
confidence: 99%
“…Although absent in factorization approach [2], many authors [3,4,5,6,7,8] have shown that rescattering plays an important role in B decays. In particular, they proved the relevance for B twobody charmless decays of charm mesons rescattering into light ones, namely, in the understanding of the observed Branching fractions [5,8] and CP violation [3,4,5].…”
Section: Introductionmentioning
confidence: 99%