CP-violating asymmetries in B{sup 0} decays to K{sup +}K{sup -}K{sub S(L)}{sup 0} and K{sub S}{sup 0}K{sub S}{sup 0}K{sub S(L)}{sup 0}

Journal Article · Tue Nov 01 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.094003· OSTI ID:20713817

Cheng, H -Y; Chua, C -K ^[1]; Soni, Amarjit ^[2]

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1. Institute of Physics, Academia Sinica, Taipei, Taiwan 115 (China)
2. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)

Decay rates and time-dependent and direct CP asymmetries in the decays B{sup 0}{yields}K{sup +}K{sup -}K{sub S(L)} and K{sub S}K{sub S}K{sub S(L)} are studied. Resonant and nonresonant contributions to the three-body decays are carefully investigated. Nonresonant effects on two-body and three-body matrix elements are constrained by QCD counting rules. The predicted branching ratios are consistent with the data within the theoretical and experimental errors, though the theoretical central values are somewhat smaller than the experimental ones. Owing to the presence of color-allowed tree amplitudes in B{sup 0}{yields}K{sup +}K{sup -}K{sub S(L)}, this penguin-dominated mode may be subject to a potentially significant tree pollution and the deviation of the mixing-induced CP asymmetry from that measured in B{yields}J/{psi}K{sub S}, namely, {delta}sin2{beta}{sub K{sup +}}{sub K{sup -}}{sub K{sub S}{sub (L)}}{identical_to}sin2{beta}{sub K{sup +}}{sub K{sup -}}{sub K{sub S}{sub (L)}}-sin2{beta}{sub J/{psi}}{sub K{sub S}}, can be as large as O(0.10). In contrast, the K{sub S}K{sub S}K{sub S(L)} modes appear theoretically very clean in our picture with negligible theoretical errors in {delta}sin2{beta}{sub K{sub S}}{sub K{sub S}}{sub K{sub S}{sub (L)}}. Direct CP asymmetries in K{sup +}K{sup -}K{sub S(L)} and K{sub S}K{sub S}K{sub S(L)} modes are found to be very small.

• OSTI ID: 20713817
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ASYMMETRY
B NEUTRAL MESONS
BRANCHING RATIO
COLOR MODEL
CP INVARIANCE
ERRORS
HADRONIC PARTICLE DECAY
J PSI-3097 MESONS
KAONS MINUS
KAONS NEUTRAL LONG-LIVED
KAONS NEUTRAL SHORT-LIVED
KAONS PLUS
MATRIX ELEMENTS
QUANTUM CHROMODYNAMICS
THREE-BODY PROBLEM
TIME DEPENDENCE
TWO-BODY PROBLEM
WEINBERG ANGLE