Direct CP violation in B{sup 0}{yields}{rho}{sup 0}({omega}){rho}{sup 0}({omega}){yields}{pi}{sup +}{pi}{sup }{pi}{sup +}{pi}{sup }
Abstract
We study the direct CP violation in B{sup 0}{yields}{rho}{sup 0}({omega}){rho}{sup 0}({omega}){yields}{pi}{sup +}{pi}{sup }{pi}{sup +}{pi}{sup } [with unpolarized {rho}{sup 0}({omega})] via the {rho}{omega} mixing mechanism which causes a large strong phase difference and consequently a large CP violating asymmetry when the masses of the {pi}{sup +}{pi}{sup } pairs are in the vicinity of the {omega} resonance. Since there are two {rho}({omega}) mesons in the intermediate state {rho}{omega} mixing contributes twice to the first order of isospin violation, leading to an even larger CP violating asymmetry (it could be 30%50% larger) than in the case where only one {rho}({omega}) meson is involved. The CP violating asymmetry depends on the CabibboKobayashiMaskawa (CKM) matrix elements and the hadronic matrix elements. The factorization approach is applied in the calculation of the hadronic matrix elements with the nonfactorizable effects being included effectively in an effective parameter, N{sub c}. We give the constraint on the range of N{sub c} from the latest experimental data for the branching ratios for B{sup 0}{yields}{rho}{sup 0}{rho}{sup 0} and B{sup 0}{yields}{rho}{sup +}{rho}{sup }. We find that the CP violating asymmetry could be very large (even more than 90% for some values of N{sub c}). It is shown that the sensitivity of themore »
 Authors:
 Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875 (China)
 Publication Date:
 OSTI Identifier:
 21020288
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.75.074028; (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; ASYMMETRY; B NEUTRAL MESONS; BRANCHING RATIO; CP INVARIANCE; FACTORIZATION; INTERMEDIATE STATE; ISOSPIN; KOBAYASHIMASKAWA MATRIX; MATRIX ELEMENTS; OMEGA782 MESONS; PARTICLE DECAY; PIONS MINUS; PIONS PLUS; RHO770 MESONS; SENSITIVITY; STANDARD MODEL
Citation Formats
Guo, X.H., and Zhang, Z.H. Direct CP violation in B{sup 0}{yields}{rho}{sup 0}({omega}){rho}{sup 0}({omega}){yields}{pi}{sup +}{pi}{sup }{pi}{sup +}{pi}{sup }. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.074028.
Guo, X.H., & Zhang, Z.H. Direct CP violation in B{sup 0}{yields}{rho}{sup 0}({omega}){rho}{sup 0}({omega}){yields}{pi}{sup +}{pi}{sup }{pi}{sup +}{pi}{sup }. United States. doi:10.1103/PHYSREVD.75.074028.
Guo, X.H., and Zhang, Z.H. Sun .
"Direct CP violation in B{sup 0}{yields}{rho}{sup 0}({omega}){rho}{sup 0}({omega}){yields}{pi}{sup +}{pi}{sup }{pi}{sup +}{pi}{sup }". United States.
doi:10.1103/PHYSREVD.75.074028.
@article{osti_21020288,
title = {Direct CP violation in B{sup 0}{yields}{rho}{sup 0}({omega}){rho}{sup 0}({omega}){yields}{pi}{sup +}{pi}{sup }{pi}{sup +}{pi}{sup }},
author = {Guo, X.H. and Zhang, Z.H.},
abstractNote = {We study the direct CP violation in B{sup 0}{yields}{rho}{sup 0}({omega}){rho}{sup 0}({omega}){yields}{pi}{sup +}{pi}{sup }{pi}{sup +}{pi}{sup } [with unpolarized {rho}{sup 0}({omega})] via the {rho}{omega} mixing mechanism which causes a large strong phase difference and consequently a large CP violating asymmetry when the masses of the {pi}{sup +}{pi}{sup } pairs are in the vicinity of the {omega} resonance. Since there are two {rho}({omega}) mesons in the intermediate state {rho}{omega} mixing contributes twice to the first order of isospin violation, leading to an even larger CP violating asymmetry (it could be 30%50% larger) than in the case where only one {rho}({omega}) meson is involved. The CP violating asymmetry depends on the CabibboKobayashiMaskawa (CKM) matrix elements and the hadronic matrix elements. The factorization approach is applied in the calculation of the hadronic matrix elements with the nonfactorizable effects being included effectively in an effective parameter, N{sub c}. We give the constraint on the range of N{sub c} from the latest experimental data for the branching ratios for B{sup 0}{yields}{rho}{sup 0}{rho}{sup 0} and B{sup 0}{yields}{rho}{sup +}{rho}{sup }. We find that the CP violating asymmetry could be very large (even more than 90% for some values of N{sub c}). It is shown that the sensitivity of the CP violating asymmetry to N{sub c} is large compared with its smaller sensitivity to the CKM matrix elements. We also discuss the possibility to remove the mod ({pi}) ambiguity in the determination of the CP violating phase angle {alpha} through the measurement of the CP violating asymmetry in the decay B{sup 0}{yields}{rho}{sup 0}({omega}){rho}{sup 0}({omega}){yields}{pi}{sup +}{pi}{sup }{pi}{sup +}{pi}{sup }.},
doi = {10.1103/PHYSREVD.75.074028},
journal = {Physical Review. D, Particles Fields},
number = 7,
volume = 75,
place = {United States},
year = {Sun Apr 01 00:00:00 EDT 2007},
month = {Sun Apr 01 00:00:00 EDT 2007}
}

We study direct CP violation in B{sup {+}}{yields}{rho}{sup {+}}{rho}{sup 0}({omega}){yields}{rho}{sup {+}}{pi}{sup +}{pi}{sup } and focus specifically on the rate asymmetry in the {rho}{sup 0}{omega} interference region. Here the strong phase is dominated by isospin violation, so that it can be essentially determined by e{sup +}e{sup }{yields}{rho}{sup 0}({omega}){yields}{pi}{sup +}{pi}{sup } data. We find the CPviolating asymmetry to be the order of 20% at the {omega} invariant mass. Moreover, it is robust with respect to the estimatable strongphase uncertainties, permitting the extraction of sin {alpha} from this channel.

Evidence for Large Direct CP Violation in B{sup {+}}{yields}{rho}(770){sup 0}K{sup {+}} from Analysis of ThreeBody Charmless B{sup {+}}{yields}K{sup {+}}{pi}{sup {+}}{pi}{sup {+}} Decays
We report results on a Dalitz analysis of threebody charmless B{sup {+}}{yields}K{sup {+}}{pi}{sup {+}}{pi}{sup {+}} decay including searches for direct CP violation. We report the first observation of the decay B{sup {+}}{yields}f{sub 2}(1270)K{sup {+}} with a statistical significance above 6{sigma}. We also observe first evidence for large direct CP violation in the B{sup {+}}{yields}{rho}(770){sup 0}K{sup {+}} channel. The results are obtained with a data sample that contains 386x10{sup 6} BB pairs collected at the {upsilon}(4S) resonance with the Belle detector at the KEKB asymmetricenergy e{sup +}e{sup } collider. 
Evidence for B{sup +}{yields}K{sup 0}K{sup +} and B{sup 0}{yields}K{sup 0}K{sup 0}, and Measurement of the Branching Fraction and Search for Direct CP Violation in B{sup +}{yields}K{sup 0}{pi}{sup +}
We present evidence for the b{yields}d penguindominated decays B{sup +}{yields}K{sup 0}K{sup +} and B{sup 0}{yields}K{sup 0}K{sup 0} in 227x10{sup 6} {upsilon}(4S){yields}BB decays collected with the BABAR detector. We measure the branching fractions B(B{sup +}{yields}K{sup 0}K{sup +})=(1.5{+}0.5{+}0.1)x10{sup 6}(<2.4x10{sup 6}) and B(B{sup 0}{yields}K{sup 0}K{sup 0})=(1.19{sub 0.35}{sup +0.40}{+}0.13)x10{sup 6}, where the uncertainties are statistical and systematic, respectively. We also present improved measurements of the chargeaveraged branching fraction B(B{sup +}{yields}K{sup 0}{pi}{sup +})=(26.0{+}1.3{+}1.0)x10{sup 6} and CPviolating charge asymmetry A{sub CP}(K{sup 0}{pi}{sup +})=0.09{+}0.05{+}0.01, where the uncertainties are statistical and systematic, respectively. 
Measurements of timedependent CP violation in B{sup 0}{yields}{omega}K{sub S}{sup 0}, f{sub 0}(980)K{sub S}{sup 0}, K{sub S}{sup 0}{pi}{sup 0} and K{sup +}K{sup }K{sub S}{sup 0} decays
We present measurements of timedependent CP asymmetries in B{sup 0}{yields}{omega}K{sub S}{sup 0}, f{sub 0}(980)K{sub S}{sup 0}, K{sub S}{sup 0}{pi}{sup 0} and K{sup +}K{sup }K{sub S}{sup 0} decays based on a sample of 535x10{sup 6} BB pairs collected at the {upsilon}(4S) resonance with the Belle detector at the KEKB energyasymmetric e{sup +}e{sup } collider. One neutral B meson is fully reconstructed in one of the specified decay channels, and the flavor of the accompanying B meson is identified from its decay products. CPviolation parameters for each of the decay modes are obtained from the asymmetries in the distributions of the propertimemore » 
Measurements of branching fractions, polarizations, and direct CPviolation asymmetries in B{sup +}{yields}{rho}{sup 0}K{sup *+} and B{sup +}{yields}f{sub 0}(980)K{sup *+} decays
We present measurements of the branching fractions, longitudinal polarization, and direct CPviolation asymmetries for the decays B{sup +}{yields}{rho}{sup 0}K*{sup +} and B{sup +}{yields}f{sub 0}(980)K*{sup +} with a sample of (467{+}5)x10{sup 6}BB pairs collected with the BABAR detector at the PEPII asymmetricenergy e{sup +}e{sup } collider at the SLAC National Accelerator Laboratory. We observe B{sup +}{yields}{rho}{sup 0}K{sup *+} with a significance of 5.3{sigma} and measure the branching fraction B(B{sup +}{yields}{rho}{sup 0}K{sup *+})=(4.6{+}1.0{+}0.4)x10{sup 6}, the longitudinal polarization f{sub L}=0.78{+}0.12{+}0.03, and the CPviolation asymmetry A{sub CP}=0.31{+}0.13{+}0.03. We observe B{sup +}{yields}f{sub 0}(980)K*{sup +} and measure the branching fraction B(B{sup +}{yields}f{sub 0}(980)K*{sup +})xB(f{sub 0}(980){yields}{pi}{sup +}{pi}{supmore »