Improved method for CKM constraints in charmless three-body B and B{sub s} decays

Journal Article · Mon Jan 01 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.014002· OSTI ID:20933217

Gronau, Michael ^[1]; Pirjol, Dan ^[2]; Soni, Amarjit ^[3]; Zupan, Jure ^[4]

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1. Physics Department, Technion-Israel Institute of Technology, 32000 Haifa (Israel)
2. Center for Theoretical Physics, Massachusetts Institute for Technology, Cambridge, Massachusetts 02139 (United States)
3. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
4. Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States)

Recently Ciuchini, Pierini, and Silvestrini proposed a method for constraining CKM parameters in B{yields}K{pi}{pi} and B{sub s}{yields}K{pi}{pi} through phase measurements of amplitudes involving I=3/2 K*{pi} final states. We show that complementary information on CKM parameters may be obtained by studying the phases of {delta}I=1 B{yields}(K*{pi}){sub I=1/2}, B{sub s}{yields}(K*K){sub I=1} and B{sub s}{yields}(K*K){sub I=1} amplitudes. Hadronic uncertainties in these constraints from electroweak penguin operators O{sub 9} and O{sub 10}, studied using flavor SU(3), are shown to be very small in B{yields}K{pi}{pi} and B{sub s}{yields}K{pi}{pi} and somewhat larger in B{sub s}{yields}KK{pi}. The first processes imply a precise linear relation between {rho} and {eta}, with a measurable slope and an intercept at {eta}=0 involving a theoretical error of 0.03. The decays B{sub s}{yields}K{pi}{pi} permit a measurement of {gamma} involving a theoretical error below a degree. We note that while time-dependence is required when studying B{sup 0} decays at the {upsilon}(4S), it may not be needed when studying B{sub s} decays at hadronic colliders.

• OSTI ID: 20933217
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B NEUTRAL MESONS
FLAVOR MODEL
KAONS
PARTICLE DECAY
PIONS
SU-3 GROUPS
THREE-BODY PROBLEM
TIME DEPENDENCE