6533b854fe1ef96bd12ae7c4
RESEARCH PRODUCT
Reparametrization invariance ofBdecay amplitudes and implications for new physics searches inBdecays
Francisco J. BotellaFrancisco J. BotellaJoão P. SilvaJoão P. Silvasubject
PhysicsNuclear and High Energy PhysicsParticle decayParticle physicsUnitarityMesonCabibbo–Kobayashi–Maskawa matrixPhysics beyond the Standard ModelIsospinOrder (ring theory)High Energy Physics::ExperimentStandard Modeldescription
When studying $B$ decays within the standard model (SM), it is customary to use the unitarity of the CKM matrix in order to write the decay amplitudes in terms of only two of the three weak phases which appear in the various diagrams. Occasionally, it is mentioned that those two weak phases can be used in order to describe any decay amplitude, even beyond the standard model. Here we point out that, when describing a generic decay amplitude, the two weak phases can be chosen completely at will, and we study the behavior of the decay amplitudes under changes in the two weak phases chosen as a basis. Of course, physical observables cannot depend on such reparametrizations. This has an impact on discussions of the SM and on attempts to parametrize new physics effects in the decay amplitudes. We illustrate these issues by looking at $B\ensuremath{\rightarrow}\ensuremath{\psi}{K}_{S}$ and the isospin analysis in $B\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-05-10 | Physical Review D |