CP violation and kaon-pion interactions in B{yields}K{pi}{sup +}{pi}{sup -} decays

Journal Article · Fri May 01 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.094005· OSTI ID:21308409

El-Bennich, B ^[1]; Furman, A ^[2]; Kaminski, R; Lesniak, L ^[3]; Loiseau, B ^[1]; Moussallam, B ^[4]

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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 Krakow (Poland)
3. Division of Theoretical Physics, The Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, 31-342 Krakow (Poland)
4. Groupe de Physique Theorique, Institut de Physique Nucleaire (IN2P3-CNRS), Universite Paris-Sud 11, 91406 Orsay Cedex (France)

We study CP violation and the contribution of the strong kaon-pion interactions in the three-body B{yields}K{pi}{sup +}{pi}{sup -} decays. We extend our recent work on the effect of the two-pion S- and P-wave interactions to that of the corresponding kaon-pion ones. The weak amplitudes have a first term derived in QCD factorization and a second one as a phenomenological contribution added to the QCD penguin amplitudes. The effective QCD coefficients include the leading order contributions plus next-to-leading order vertex and penguins corrections. The matrix elements of the transition to the vacuum of the kaon-pion pairs, appearing naturally in the factorization formulation, are described by the strange K{pi} scalar (S-wave) and vector (P-wave) form factors. These are determined from Muskhelishvili-Omnes coupled channel equations using experimental kaon-pion T-matrix elements, together with chiral symmetry and asymptotic QCD constraints. From the scalar form factor study, the modulus of the K{sub 0}*(1430) decay constant is found to be (32{+-}5) MeV. The additional phenomenological amplitudes are fitted to reproduce the K{pi} effective mass and helicity angle distributions, the B{yields}K*(892){pi} branching ratios and the CP asymmetries of the recent data from Belle and BABAR collaborations. We use also the new measurement by the BABAR group of the phase difference between the B{sup 0} and B{sup 0} decay amplitudes to K*(892){pi}. Our predicted B{sup {+-}}{yields}K{sub 0}*(1430){pi}{sup {+-}}, K{sub 0}*(1430){yields}K{sup {+-}}{pi}{sup {+-}} branching fraction, equal to (11.6{+-}0.6)x10{sup -6}, is smaller than the result of the analyzes of both collaborations. For the neutral B{sup 0} decays, the predicted value is (11.1{+-}0.5)x10{sup -6}. In order to reduce the large systematic uncertainties in the experimental determination of the B{yields}K{sub 0}{sup *}(1430){pi} branching fractions, a new parametrization is proposed. It is based on the K{pi} scalar form factor, well constrained by theory and experiments other than those of B decays.

• OSTI ID: 21308409
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
B NEUTRAL MESONS
BRANCHING RATIO
CHIRAL SYMMETRY
CP INVARIANCE
DECAY AMPLITUDES
EFFECTIVE MASS
FACTORIZATION
FORM FACTORS
HELICITY
K*-892 MESONS
KAONS
P WAVES
PARTICLE DECAY
PION-KAON INTERACTIONS
PIONS MINUS
QUANTUM CHROMODYNAMICS
S MATRIX
S WAVES
THREE-BODY PROBLEM