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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}
}
  • 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* {bar K}){sub l=1} and B{sub s} {yields} ({bar 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 Bmore » {yields} K{pi}{pi} and B{sub s} {yields} K{pi}{pi} and somewhat larger in B{sub s} {yields} K{bar K}{pi}. The first processes imply a precise linear relation between {bar {rho}} and {bar {eta}}, with a measurable slope and an intercept at {bar {eta}} = 0 involving a theoretical error of 0.03. The decays B{sub s} {yields} K{pi}{pi} permit a measurement of 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 is not needed when studying B{sub s} decays at hadronic colliders.« less
  • We search for decays of the type B{sub (s)}{sup 0}{yields}h{sup +}h{sup '-} (where h,h{sup '}=K or {pi}) in 180 pb{sup -1} of pp collisions collected at the Tevatron by the upgraded Collider Detector at Fermilab. We report the first observation of the new mode B{sub s}{sup 0}{yields}K{sup +}K{sup -} with a yield of 236{+-}32 events, corresponding to (f{sub s}/f{sub d})xB(B{sub s}{sup 0}{yields}K{sup +}K{sup -})/B(B{sup 0}{yields}K{sup +}{pi}{sup -})=0.46{+-}0.08(stat){+-}0.07(syst), where f{sub s}/f{sub d} is the ratio of production fractions of B{sub s}{sup 0} and B{sup 0}. We find results in agreement with world averages for the B{sup 0} modes, and set themore » following new limits at 90% C.L.: B(B{sub s}{sup 0}{yields}K{sup -}{pi}{sup +})<5.6x10{sup -6} and B(B{sub s}{sup 0}{yields}{pi}{sup +}{pi}{sup -})<1.7x10{sup -6}.« less
  • We report on an improved measurement of the Cabibbo-Kobayashi-Maskawa CP-violating phase {gamma} through a Dalitz plot analysis of neutral D meson decays to K{sub S}{sup 0}{pi}{sup +}{pi}{sup -} and K{sub S}{sup 0}K{sup +}K{sup -} produced in the processes B{sup {+-}}{yields}DK{sup {+-}}, B{sup {+-}}{yields}D*K{sup {+-}} with D*{yields}D{pi}{sup 0}, D{gamma}, and B{sup {+-}}{yields}DK*{sup {+-}} with K*{sup {+-}}{yields}K{sub S}{sup 0}{pi}{sup {+-}}. Using a sample of 383x10{sup 6} BB pairs collected by the BABAR detector, we measure {gamma}=(76{+-}22{+-}5{+-}5) deg. (mod 180 deg.), where the first error is statistical, the second is the experimental systematic uncertainty, and the third reflects the uncertainty on the descriptionmore » of the Dalitz plot distributions. The corresponding 2-standard-deviation region is 29 deg. <{gamma}<122 deg. This result has a significance of direct CP violation ({gamma}{ne}0) of 3.0 standard deviations.« less
  • We present constraints on the angle {gamma} of the unitarity triangle with a Dalitz analysis of neutral D decays to K{sub S}{pi}{sup +}{pi}{sup -} from the processes B{sup 0}{yields}D{sup 0}K*{sup 0} (B{sup 0}{yields}D{sup 0}K*{sup 0}) and B{sup 0}{yields}D{sup 0}K*{sup 0} (B{sup 0}{yields}D{sup 0}K*{sup 0}) with K*{sup 0}{yields}K{sup +}{pi}{sup -} (K*{sup 0}{yields}K{sup -}{pi}{sup +}). Using a sample of 371x10{sup 6} BB pairs collected with the BABAR detector at PEP-II, we constrain the angle {gamma} as a function of r{sub S}, the magnitude of the average ratio between b{yields}u and b{yields}c amplitudes.
  • We calculate branching ratios for a number of charmless nonleptonic two-body decays of [ital B][sub [ital s]] mesons using the two-loop renormalization-group-improved effective Hamiltonian and the Bauer-Stech-Wirbel model. The QCD loop-induced (penguin) contributions are taken into account, and the leading 1/[ital N][sub [ital c]] approximation is examined in the naive factorization scheme. Our present estimates of branching ratios for those Cabibbo-Kobayashi-Maskawa suppressed channels are quite different from the previous results obtained in the tree-level approximation.