Rescattering effects in charmless B{sub u,d,s}{yields}PP decays
- Physics Department, Chung Yuan Christian University, Chung-Li, Taiwan 32023 (China)
We study the final-state interaction (FSI) effects in charmless B{sub u,d,s}{yields}PP decays. We consider a FSI approach with both short- and long-distance contributions, where the former are from inelastic channels and are contained in factorization amplitudes, while the latter are from the residual rescattering among PP states. Flavor SU(3) symmetry is used to constrain the residual rescattering S matrix. We fit to all available data on the CP-averaged decay rates and CP asymmetries, and make predictions on unmeasured ones. We investigate the K{pi} direct CP violations that lead to the so-called K{pi} puzzle in CP violation. Our main results are as follows: (i) Results are in agreement with data in the presence of FSI. (ii) For B decays, the {pi}{sup +}{pi}{sup -} and {pi}{sup 0}{pi}{sup 0} rates are suppressed and enhanced, respectively, by FSI. (iii) The FSI has a large impact on direct CP asymmetries (A) of many modes. (iv) The deviation ({delta}A) between A(B{sup 0}{yields}K{sup -}{pi}{sup +}) and A(B{sup -}{yields}K{sup -}{pi}{sup 0}) can be understood in the FSI approach. Since A(K{sup -}{pi}{sup 0}) is more sensitive to the residual rescattering, the degeneracy of these two direct CP violations can be successfully lifted. (v) Sizable and complex color-suppressed tree amplitudes, which are crucial for the large {pi}{sup 0}{pi}{sup 0} rate and {delta}A, are generated through exchange rescattering. The correlation of the ratio B({pi}{sup 0}{pi}{sup 0})/B({pi}{sup +}{pi}{sup -}) and {delta}A is studied. (vi) The B{sup -}{yields}{pi}{sup -}{pi}{sup 0} direct CP violation is very small and is not affected by FSI. (vii) Several B{sub s} decay rates are enhanced. In particular, the {eta}{sup '}{eta}{sup '} branching ratio is enhanced to the level of 1.0x10{sup -4}, which can be checked experimentally. (viii) Time-dependent CP asymmetries S in B{sub d,s} decays are studied. The {delta}S(B{sup 0}{yields}K{sub S}{eta}{sup '}) is very small ({<=}1%). This asymmetry remains to be one of the cleanest measurements to search for new physics phases. The asymmetry S from B{sub s} to PP states with strangeness S=+1 are expected to be small. We found that the |S| for B{sub s}{sup 0}{yields}{eta}{eta}, {eta}{eta}{sup '}, and {eta}{sup '}{eta}{sup '} decays are all below 0.06. CP asymmetries in these modes will be useful to test the SM.
- OSTI ID:
- 21254347
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 7; Other Information: DOI: 10.1103/PhysRevD.78.076002; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ASYMMETRY
B MINUS MESONS
B NEUTRAL MESONS
BRANCHING RATIO
COLOR MODEL
CORRELATIONS
CP INVARIANCE
FACTORIZATION
FINAL-STATE INTERACTIONS
FLAVOR MODEL
KAONS MINUS
PARTICLE DECAY
PIONS MINUS
PIONS NEUTRAL
PIONS PLUS
RESCATTERING
S MATRIX
STRANGENESS
SU-3 GROUPS
TIME DEPENDENCE