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

Abstract

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.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Physics Department, Technion-Israel Institute of Technology, 32000 Haifa (Israel)
  2. (United States)
  3. Center for Theoretical Physics, Massachusetts Institute for Technology, Cambridge, Massachusetts 02139 (United States)
  4. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
  5. Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States)
  6. (Slovenia)
Publication Date:
OSTI Identifier:
20933217
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.014002; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B NEUTRAL MESONS; FLAVOR MODEL; KAONS; PARTICLE DECAY; PIONS; SU-3 GROUPS; THREE-BODY PROBLEM; TIME DEPENDENCE

Citation Formats

Gronau, Michael, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, Pirjol, Dan, Soni, Amarjit, Zupan, Jure, and J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001 Ljubljana. Improved method for CKM constraints in charmless three-body B and B{sub s} decays. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.014002.
Gronau, Michael, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, Pirjol, Dan, Soni, Amarjit, Zupan, Jure, & J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001 Ljubljana. Improved method for CKM constraints in charmless three-body B and B{sub s} decays. United States. doi:10.1103/PHYSREVD.75.014002.
Gronau, Michael, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, Pirjol, Dan, Soni, Amarjit, Zupan, Jure, and J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001 Ljubljana. Mon . "Improved method for CKM constraints in charmless three-body B and B{sub s} decays". United States. doi:10.1103/PHYSREVD.75.014002.
@article{osti_20933217,
title = {Improved method for CKM constraints in charmless three-body B and B{sub s} decays},
author = {Gronau, Michael and Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 and Pirjol, Dan and Soni, Amarjit and Zupan, Jure and J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001 Ljubljana},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.014002},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}