Understanding Large Localized C P Violation in B ยฑ โ K ยฑ ฯ + ฯ โ Using Dispersive Methods
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We utilize the universality of pion-pion (๐โข๐) final-state interactions at small invariant masses to understand the enhanced localized ๐ถโข๐ violation in ๐ตยฑ โ๐พยฑโข๐+โข๐โ , using a dispersive approach. From a fit to the integrated ๐ถโข๐ -asymmetry data, we successfully predict the Dalitz-plot Kinematic distribution of the asymmetry in the low-energy ๐โข๐ region, including the large localized ๐ถโข๐ violation recently observed by LHCb. An essential role is played by the contributions of isospin 2. This formalism, whose parameters have a physical meaning, can be adapted straightforwardly to other systems with ๐ถโข๐ violation enhanced by final-state interactions
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