Interference between f{sub 0}(980) and {rho}(770){sup 0} resonances in B{yields}{pi}{sup +}{pi}{sup -}K decays

Journal Article · Fri Dec 01 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.114009· OSTI ID:20868089

El-Bennich, B; Loiseau, B ^[1]; Furman, A ^[2]; Kaminski, R; Lesniak, L ^[3]

---

1. Laboratoire de Physique Nucleaire et de Hautes Energies, IN2P3-CNRS-Universites Paris 6 et 7, Groupe Theorie, Universite Pierre et Marie Curie, 4 place Jussieu, 75252 Paris (France)
2. ul. Bronowicka 85/26, 30-091 Cracow (Poland)
3. Division of Theoretical Physics, Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, 31-342 Cracow (Poland)

We study the contribution of the strong interactions between the two pions in S and P waves to the weak B{yields}{pi}{pi}K decay amplitudes. The interference between these two waves is analyzed in the {pi}{pi} effective-mass range of the {rho}(770){sup 0} and f{sub 0}(980) resonances. We use a unitary {pi}{pi} and KK coupled-channel model to describe the S-wave interactions and a Breit-Wigner function for the P-wave amplitude. The weak B-decay amplitudes, obtained from QCD factorization, are supplemented with charming penguin contributions in both waves. The four complex parameters of these long-distance terms are determined by fitting the model to the BABAR and Belle data on B{sup {+-}}{sup ,0}{yields}{pi}{sup +}{pi}{sup -}K{sup {+-}}{sup ,0} branching fractions, CP asymmetries, {pi}{pi} effective-mass and helicity-angle distributions. This set of data, and, in particular, the large direct CP asymmetry for B{sup {+-}}{yields}{rho}(770){sup 0}K{sup {+-}} decays, is well reproduced. The interplay of charming penguin amplitudes and the interference of S and P waves describes rather successfully the experimental S and A values of the CP-violating asymmetry for both B{sup 0}{yields}f{sub 0}(980)K{sub S}{sup 0} and B{sup 0}{yields}{rho}(770){sup 0}K{sub S}{sup 0} decays.

• OSTI ID: 20868089
• Journal Information: Physical Review. D, Particles Fields, Vol. 74, Issue 11; Other Information: DOI: 10.1103/PhysRevD.74.114009; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMMETRY
B MINUS MESONS
B NEUTRAL MESONS
B PLUS MESONS
BRANCHING RATIO
BREIT-WIGNER FORMULA
COUPLED CHANNEL THEORY
CP INVARIANCE
DECAY AMPLITUDES
DISTRIBUTION
EFFECTIVE MASS
F0-980 MESONS
FACTORIZATION
HADRONIC PARTICLE DECAY
HELICITY
INTERFERENCE
KAONS MINUS
KAONS NEUTRAL SHORT-LIVED
KAONS PLUS
P WAVES
PIONS MINUS
PIONS PLUS
QUANTUM CHROMODYNAMICS
RHO-770 MESONS
S WAVES
STRONG INTERACTIONS