Abstract
We find new sum rules between direct asymmetries in meson decays with coefficients that can be determined from a global fit to branching ratio data. Our sum rules eliminate the penguin topologies and , which cannot be determined from branching ratios. In this way, we can make predictions about direct asymmetries in the standard model without ad hoc assumptions on the sizes of penguin diagrams. We consistently include first-order breaking in the topological amplitudes extracted from the branching ratios. By confronting our sum rules with future precise data from LHCb and Belle II, one will identify or constrain new-physics contributions to or . The first sum rule correlates the asymmetries in , , and . We study the region of the plane allowed by current data and find that our sum rule excludes more than half of the allowed region at 95% C.L. Our second sum rule correlates the direct asymmetries in , , and .
- Received 22 June 2015
DOI:https://doi.org/10.1103/PhysRevLett.115.251802
© 2015 American Physical Society