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Title: Study of B{yields}K{sub 0}*(1430)ll decays

Abstract

We examine the exclusive rare decays of B{yields}K{sub 0}*(1430)ll with K{sub 0}*(1430) being the p-wave scalar meson and l={nu}, e, {mu}, {tau} in the standard model. The form factors for the B{yields}K{sub 0}* transition matrix elements are evaluated in the light-front quark model. For the decays of B{yields}K{sub 0}*ll, the branching ratios are found to be (11.6,1.63,1.62,0.029)x10{sup -7} with l=({nu},e,{mu},{tau}) and the integrated longitudinal lepton polarization asymmetries (-0.97,-0.95,-0.03) with l=(e,{mu},{tau}), respectively.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Department of Physics, National Cheng-Kung University, Tainan 701, Taiwan (China)
  2. (China)
  3. Department of Physics, National Tsing-Hua University, Hsinchu 300, Taiwan (China)
  4. (Canada)
  5. General Education Center, Tzu-Chi College of Technology Hualien 970, Taiwan (China)
  6. Department of Electrophysics, National Chiao-Tung University Hsinchu 300, Taiwan (China)
Publication Date:
OSTI Identifier:
21020270
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.75.074010; (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 MESONS; BRANCHING RATIO; ELECTRONS; FORM FACTORS; K*0-1430 MESONS; LEPTONS; MATRIX ELEMENTS; MUONS; NEUTRINOS; P WAVES; PARTICLE DECAY; POLARIZATION; QUARK MODEL; SCALAR MESONS; STANDARD MODEL

Citation Formats

Chen, C.-H., National Center for Theoretical Sciences, Taiwan, Geng, C.-Q., Theory Group, TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Lih, C.-C., and Liu, C.-C. Study of B{yields}K{sub 0}*(1430)ll decays. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.074010.
Chen, C.-H., National Center for Theoretical Sciences, Taiwan, Geng, C.-Q., Theory Group, TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Lih, C.-C., & Liu, C.-C. Study of B{yields}K{sub 0}*(1430)ll decays. United States. doi:10.1103/PHYSREVD.75.074010.
Chen, C.-H., National Center for Theoretical Sciences, Taiwan, Geng, C.-Q., Theory Group, TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Lih, C.-C., and Liu, C.-C. Sun . "Study of B{yields}K{sub 0}*(1430)ll decays". United States. doi:10.1103/PHYSREVD.75.074010.
@article{osti_21020270,
title = {Study of B{yields}K{sub 0}*(1430)ll decays},
author = {Chen, C.-H. and National Center for Theoretical Sciences, Taiwan and Geng, C.-Q. and Theory Group, TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3 and Lih, C.-C. and Liu, C.-C.},
abstractNote = {We examine the exclusive rare decays of B{yields}K{sub 0}*(1430)ll with K{sub 0}*(1430) being the p-wave scalar meson and l={nu}, e, {mu}, {tau} in the standard model. The form factors for the B{yields}K{sub 0}* transition matrix elements are evaluated in the light-front quark model. For the decays of B{yields}K{sub 0}*ll, the branching ratios are found to be (11.6,1.63,1.62,0.029)x10{sup -7} with l=({nu},e,{mu},{tau}) and the integrated longitudinal lepton polarization asymmetries (-0.97,-0.95,-0.03) with l=(e,{mu},{tau}), respectively.},
doi = {10.1103/PHYSREVD.75.074010},
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}
}
  • In the two-quark model supposition for f{sub 0}(980) and K{sub 0}{sup *}(1430), the branching ratios and the direct CP-violating asymmetries for decays B{sup 0}{yields}f{sub 0}(980){rho}{sup 0}({omega}, {phi}), K{sub 0}{sup *0}(1430){rho}{sup 0}({omega}), K{sub 0}{sup *-}(1430){rho}{sup +} and B{sup -}{yields}f{sub 0}(980){rho}{sup -}, K{sub 0}{sup *0}(1430){rho}{sup -}, K{sub 0}{sup *-}(1430){rho}{sup 0}({omega}) are studied by employing the perturbative QCD factorization approach. we find the following results: (a) if the scalar meson f{sub 0}(980) is viewed as a mixture of ss and (uu+dd)/{radical}(2), the branching ratios of the b{yields}d transition processes B{sup 0}{yields}f{sub 0}(980){rho}{sup 0}({omega},{phi}) and B{sup -}{yields}f{sub 0}(980){rho}{sup -} are smaller than the currentlymore » experimental upper limits, and the predictions for the decays B{sup 0}{yields}f{sub 0}(980){omega}, B{sup -}{yields}f{sub 0}(980){rho}{sup -} are not far away from their limits; (b) in the b{yields}s transition processes B{yields}K{sub 0}{sup *}(1430){rho}({omega}), the branching ratio of B{sup 0}{yields}K{sub 0}{sup *0}(1430){rho}{sup 0} is the smallest one, at the order of 10{sup -7} by treating K{sub 0}{sup *}(1430) as the lowest lying state, about 4.8x10{sup -6} by considering K{sub 0}{sup *}(1430) as the first excited state; (c) the direct CP-violating asymmetries of decays B{yields}f{sub 0}(980){rho}({omega}) have a strong dependence on the mixing angle {theta}: they are large in the range of 25 degree sign <{theta}<40 degree sign , and small in the range of 140 degree sign <{theta}<165 degree sign , while the direct CP-violating asymmetry amplitudes of decays B{yields}K{sub 0}{sup *}(1430){rho}({omega}) are not large in the two kinds of state supposition for K{sub 0}{sup *}(1430) and most of them are less than 20%.« less
  • We study the charmless decays B{yields}K{sub h{eta}} and B{yields}K{sub h{eta}}{sup '} within the framework of QCD factorization (QCDF) for K{sub h}=K, K{sup *}, K{sub 0}{sup *}(1430) and naive factorization for K{sub h}=K{sub 2}{sup *}(1430). There are three distinct types of penguin contributions: (i) b{yields}sqq{yields}s{eta}{sub q}, (ii) b{yields}sss{yields}s{eta}{sub s}, and (iii) b{yields}sqq{yields}qK{sub h}, where {eta}{sub q}=(uu+dd)/{radical}(2) and {eta}{sub s}=ss. B{yields}K{sup (*){eta}(')} decays are dominated by type-II and type-III penguin contributions. The interference, constructive for K{eta}{sup '} and K{sup *{eta}} and destructive for K{eta} and K{sup *{eta}'}, between type-II and type-III diagrams explains the pattern of {Gamma}(B{yields}K{eta}{sup '})>>{Gamma}(B{yields}K{eta}) and {Gamma}(B{yields}K{sup *{eta}'})<<{Gamma}(B{yields}K{sup *{eta}}).more » Within QCDF, the observed large rate of the K{eta}{sup '} mode can be naturally explained without invoking flavor-singlet contributions or something exotic. The decay pattern for B{yields}K{sub 0}{sup *}(1430){eta}{sup (')} decays depends on whether the scalar meson K{sub 0}{sup *}(1430) is an excited state of {kappa} or a lowest-lying P-wave qq state. Hence, the experimental measurements of B{yields}K{sub 0}{sup *}(1430){eta}{sup (')} can be used to explore the quark structure of K{sub 0}{sup *}(1430). If K{sub 0}{sup *}(1430) is a low-lying qq bound state, we find that K{sub 0}{sup *{eta}} has a rate slightly larger than K{sub 0}{sup *{eta}'} owing to the fact that the {eta}-{eta}{sup '} mixing angle in the {eta}{sub q}, {eta}{sub s} flavor basis is less than 45 degree sign , in agreement with experiment. The type-III penguin diagram does not contribute to B{yields}K{sub 2}{sup *{eta}(')} under the factorization hypothesis and the type-II diagram dominates. The ratio {Gamma}(B{yields}K{sub 2}{sup *{eta}'})/{Gamma}(B{yields}K{sub 2}{sup *{eta}}) is expected to be of order 2.5 as a consequence of (i) |f{sub {eta}}{sup 's}|>|f{sub {eta}}{sup s}| and (ii) a destructive (constructive) interference between type-I and type-II penguin diagrams for K{sub 2}{sup *{eta}} (K{sub 2}{sup *{eta}'}). However, the predicted rates of B{yields}K{sub 2}{sup *{eta}(')} in naive factorization are too small by 1 order of magnitude and this issue remains to be resolved. There are two K{sup (*){eta}(')} modes in which direct CP asymmetries have been measured with significance around 4{sigma}: A{sub CP}(K{sup -}{eta})=-0.37{+-}0.09 and A{sub CP}(K{sup *0}{eta})=0.19{+-}0.05. In QCDF, power corrections from penguin annihilation which are needed to resolve CP puzzles in K{sup -}{pi}{sup +} and {pi}{sup +}{pi}{sup -} modes will flip A{sub CP}(K{sup -}{eta}) into a wrong sign. We show that soft corrections to the color-suppressed tree amplitude a{sub 2} in conjunction with the charm content of the {eta} will finally lead to A{sub CP}(K{sup -}{eta})=-0.15{sub -0.28}{sup +0.19}. Likewise, this power correction is needed to improve the prediction for A{sub CP}(K{sup *0{eta}}).« less
  • As the annihilation contributions play important roles in solving the puzzle of the small longitudinal polarizations in B{yields}K*{phi} decays, we examine similar effects in the decays of B{yields}K{sub 0,2}*(1430){phi}. For the calculations on the annihilated contributions, we adopt that the form factors in B{yields}K{sup (*)}{phi} decays are parameters determined by the observed branching ratios (BRs), polarization fractions, and relative angles in experiments, and we connect the parameters between B{yields}K{sub 0(2)}*{phi} and B{yields}K{sup (*)}{phi}. We find that the BR of B{sub d}{yields}K{sub 0}*{sup 0}(1430){phi} is (3.69{+-}0.47)x10{sup -6}. We show that the BR of B{sub d}{yields}K{sub 2}*{sup 0}(1430){phi} is (1.70{+-}0.80)x10{sup -6} inmore » the 2nd version of the Isgur-Scora-Grinstein-Wise (ISGW2) model, whereas it can be a broad range of values in the light-front quark model. In terms of the recent BABAR observations on BRs and polarization fractions in B{sub d}{yields}K{sub 2}*{sup 0}(1430){phi}, the results in the light-front quark model are found to be more favorable. In addition, due to the annihilation contributions to B{yields}K{sub 2}*{phi} and B{yields}K*{phi} being opposite in sign, we demonstrate that the longitudinal polarization of B{sub d}{yields}K{sub 2}*{sup 0}(1430){phi} is always O(1) with or without including the annihilation contributions.« less
  • We have investigated the exclusive, radiative B meson decays to K{sub 2}*(1430) in 89x10{sup 6} BB-bar events with the BABAR detector at the PEP-II storage ring. We measure the branching fractions B(B{sup 0}{yields}K{sub 2}*(1430){sup 0}{gamma})=(1.22{+-}0.25{+-}0.10)x10{sup -5} and B(B{sup +}{yields}K{sub 2}*(1430){sup +}{gamma})=(1.45{+-}0.40{+-}0.15)x10{sup -5}, where the first error is statistical and the second systematic. In addition, we measure the CP-violating asymmetry A{sub CP}[B{sup 0}{yields}K{sub 2}*(1430){sup 0}{gamma}]=-0.08{+-}0.15{+-}0.01.
  • We present improved measurements of CP-violation parameters in B{sup 0}{yields}{phi}K{sup 0}, {eta}{sup '}K{sup 0}, K{sub S}{sup 0}K{sub S}{sup 0}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 energy-asymmetric e{sup +}e{sup -} collider. We obtain sin2{phi}{sub 1}{sup eff}=+0.64{+-}0.10(stat){+-}0.04(syst) for B{sup 0}{yields}{eta}{sup '}K{sup 0}, +0.50{+-}0.21(stat){+-}0.06(syst) for B{sup 0}{yields}{phi}K{sup 0}, and +0.30{+-}0.32(stat){+-}0.08(syst) for B{sup 0}{yields}K{sub S}{sup 0}K{sub S}{sup 0}K{sub S}{sup 0} decays. We have observed CP violation in the B{sup 0}{yields}{eta}{sup '}K{sup 0} decay with a significance of 5.6 standard deviations. We also perform an improved measurementmore » of CP asymmetries in B{sup 0}{yields}J/{psi}K{sup 0} decays and obtain sin2{phi}{sub 1}=+0.642{+-}0.031(stat){+-}0.017(syst)« less