Journal Menu

- About this Journal ·
- Abstracting and Indexing ·
- Aims and Scope ·
- Annual Issues ·
- Article Processing Charges ·
- Articles in Press ·
- Author Guidelines ·
- Bibliographic Information ·
- Citations to this Journal ·
- Contact Information ·
- Editorial Board ·
- Editorial Workflow ·
- Free eTOC Alerts ·
- Publication Ethics ·
- Reviewers Acknowledgment ·
- Submit a Manuscript ·
- Subscription Information ·
- Table of Contents

Advances in High Energy Physics

Volume 2013 (2013), Article ID 175287, 12 pages

http://dx.doi.org/10.1155/2013/175287

Research Article

## Branching Fractions and Asymmetries of and Decays in the Family Nonuniversal Model

Department of Physics, Yantai University, Yantai 264-005, China

Received 18 May 2013; Accepted 17 July 2013

Academic Editor: Seog Oh

Copyright © 2013 Ying Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Linked References

- H.-Y. Cheng and J. G. Smith, “Charmless Hadronic
*B*Meson decays,”*Annual Review of Nuclear and Particle Science*, vol. 59, pp. 215–243, 2009. View at Publisher · View at Google Scholar - M. Wirbel, B. Stech, and M. Bauer, “Exclusive semileptonic decays of heavy mesons,”
*Zeitschrift für Physik C*, vol. 29, no. 4, pp. 637–642, 1985. View at Publisher · View at Google Scholar · View at Scopus - M. Bauer, B. Stech, and M. Wirbel, “Exclusive non-leptonic decays of ${D}^{-}$, ${D}_{s}^{-}$ and
*B*-mesons,”*Zeitschrift für Physik C*, vol. 34, no. 1, pp. 103–115, 1987. View at Publisher · View at Google Scholar · View at Scopus - M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, “QCD factorization for $B\to \pi \pi $ decays: Strong phases and
*CP*violation in the heavy quark limit,”*Physical Review Letters*, vol. 83, no. 10, pp. 1914–1917, 1999. View at Publisher · View at Google Scholar · View at Scopus - M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, “QCD factorization for exclusive non-leptonic
*B*-meson decays: general arguments and the case of heavy-light final states,”*Nuclear Physics B*, vol. 591, no. 1-2, pp. 313–418, 2000. View at Publisher · View at Google Scholar · View at Scopus - M. Beneke and M. Neubert, “QCD factorization for $B\to PP$ and $B\to PV$ decays,”
*Nuclear Physics B*, vol. 675, no. 1-2, pp. 333–415, 2003. View at Publisher · View at Google Scholar · View at Scopus - M. Beneke, J. Rohrer, and D. Yang, “Branching fractions, polarisation and asymmetries of $B\to VV$ decays,”
*Nuclear Physics B*, vol. 774, no. 1-3, pp. 64–101, 2007. View at Publisher · View at Google Scholar · View at Scopus - Y.-Y. Keum, H.-N. Li, and A. I. Sanda, “Fat penguins and imaginary penguins in perturbative QCD,”
*Physics Letters B*, vol. 504, no. 1-2, pp. 6–14, 2001. View at Publisher · View at Google Scholar · View at Scopus - Y.-Y. Keum, H.-N. Li, and A. I. Sanda, “Penguin enhancement and $B\to K\pi $ decays in perturbative QCD,”
*Physical Review D*, vol. 63, no. 5, Article ID 054008, 2001. View at Publisher · View at Google Scholar · View at Scopus - C. W. Bauer, D. Pirjol, and I. W. Stewart, “Proof of factorization for $B\to D\pi $,”
*Physical Review Letters*, vol. 87, no. 20, Article ID 201806, pp. 1–4, 2001. View at Google Scholar · View at Scopus - C. W. Bauer, D. Pirjol, and I. W. Stewart, “Soft-collinear factorization in effective field theory,”
*Physical Review D*, vol. 65, no. 5, Article ID 054022, 2002. View at Publisher · View at Google Scholar · View at Scopus - C. W. Bauer, D. Pirjol, and I. W. Stewart, “Factorization and end point singularities in heavy-to-light decays,”
*Physical Review D*, vol. 67, no. 7, Article ID 071502, 2003. View at Publisher · View at Google Scholar - P. Minkowski and W. Ochs, “Identification of the glueballs and the scalar meson nonet of lowest mass,”
*The European Physical Journal C*, vol. 9, no. 2, pp. 283–312, 1999. View at Google Scholar - H. Y. Cheng, C. K. Chua, and K. C. Yang, “Charmless hadronic
*B*decays involving scalar mesons: implications on the nature of light scalar mesons,”*Physical Review D*, vol. 73, no. 1, Article ID 014017, 2006. View at Publisher · View at Google Scholar - H. Y. Cheng, C. K. Chua, and K. C. Yang, “Charmless
*B*decays to a scalar meson and a vector meson,”*Physical Review D*, vol. 77, no. 1, Article ID 014034, 2008. View at Publisher · View at Google Scholar - C. H. Chen, C. Q. Geng, Y. K. Hsiao, and Z. T. Wei, “Production of ${K}_{0}^{*}\left(1430\right)$ and
*K*_{1}in*B*decays,”*Physical Review D*, vol. 72, no. 5, Article ID 054011, 2005. View at Publisher · View at Google Scholar - C.-H. Chen and C. -Q. Geng, “Expectations on $B\to \left({K}_{0}^{*}\left(1430\right),{K}_{2}^{*}\left(1430\right)\right)\varphi $ decays,”
*Physical Review D*, vol. 75, no. 5, Article ID 054010, 2007. View at Publisher · View at Google Scholar - Y. L. Shen, W. Wang, J. Zhu, and C. D. Lu, “Study of ${K}_{0}^{*}\left(1430\right)$ and a
_{0}(980) from $B\to {K}_{0}^{*}\left(1430\right)\pi $ and $B\to {a}_{0}\left(980\right)K$ decays,”*The European Physical Journal C*, vol. 50, no. 4, pp. 877–887, 2007. View at Publisher · View at Google Scholar - C. S. Kim, Y. Li, and W. Wang, “Study of decay modes $B\to {K}_{0}^{*}\left(1430\right)\varphi $,”
*Physical Review D*, vol. 81, no. 7, Article ID 074014, 2010. View at Publisher · View at Google Scholar - X. Liu, Z.-Q. Zhang, and Z.-J. Xiao, “$B\to {K}_{0}^{*}\left(1430\right){\eta}^{\text{'}}$ decays in the pQCD approach,”
*Chinese Physics C*, vol. 34, no. 2, p. 157, 2010. View at Publisher · View at Google Scholar - X. Liu and Z.-J. Xiao, “$B\to {K}_{0}^{*}\left(1430\right)K$ decays in perturbative QCD approach,”
*Communications in Theoretical Physics*, vol. 53, no. 3, p. 540, 2010. View at Publisher · View at Google Scholar - Z.-Q. Zhang, “Study of scalar meson ${f}_{0}\left(980\right)$ and ${K}_{0}^{*}\left(1430\right)$ from $B\to {f}_{0}\left(980\right)\rho \left(\omega ,\varphi \right)$ and $B\to {K}_{0}^{*}\left(1430\right)\rho \left(\omega \right)$ decays,”
*Physical Review D*, vol. 82, no. 3, Article ID 034036, 2010. View at Publisher · View at Google Scholar - Z.-Q. Zhang, “Branching ratio and
*CP*asymmetry of ${B}_{S}\to {K}_{0}^{*}\left(1430\right)\rho \left(\omega ,\varphi \right)$ decays in the perturbative QCD approach,”*Physical Review D*, vol. 82, no. 11, Article ID 114016, 2010. View at Publisher · View at Google Scholar - X. Liu, Z.-J. Xiao, and Z.-T. Zou, “Charmless hadronic ${B}_{q}$ to ${K}_{0}^{*}\left(1430\right)$ decays in the pQCD approach,” http://arxiv.org/abs/1105.5761.
- Y. Li, X.-J. Fan, J. Hua, and E.-L. Wang, “Implications of family nonuniversal
*Z*′ model on $B\to {K}_{0}^{*}\left(1430\right)\pi $ decays,”*Physical Review D*, vol. 85, no. 7, Article ID 074010, 2012. View at Publisher · View at Google Scholar - J. P. Lees and BABAR Collaboration, “${B}^{0}$ meson decays to ${\rho}^{0}{K}^{*0}$, ${f}_{0}{K}^{*0}$, and ${\rho}^{-}{K}^{*+}$, including higher ${K}^{*}$ resonances,”
*Physical Review D*, vol. 85, no. 7, Article ID 072005, 2012. View at Publisher · View at Google Scholar - B. Aubert and BABAR Collaboration, “Vector-tensor and vector-vector decay amplitude analysis of ${B}^{0}\to \phi {K}^{*0}$,”
*Physical Review Letters*, vol. 98, no. 5, Article ID 051801, 2007. View at Publisher · View at Google Scholar - B. Aubert and [BABAR Collaboration], “Observation and polarization measurements of ${B}^{\pm}\to \varphi {K}_{1}^{\pm}$ and ${B}^{\pm}\to \varphi {K}_{2}^{*\pm}$,”
*Physical Review Letters*, vol. 101, no. 16, Article ID 161801, 2008. View at Publisher · View at Google Scholar - Y. Gao, “PhD thesis, AAT-3356872,” http://www.pha.jhu.edu/~ygao/babar/gao_thesis.pdf.
- P. Langacker, “The physics of heavy
*Z*′ gauge bosons,”*Reviews of Modern Physics*, vol. 81, no. 3, pp. 1199–1228, 2009. View at Publisher · View at Google Scholar - E. Nardi, “
*Z*′, new fermions, and flavor-changing processes: constraints on E_{6}models from $\mu \to eee$,”*Physical Review D*, vol. 48, no. 3, pp. 1240–1247, 1993. View at Publisher · View at Google Scholar · View at Scopus - J. Bernabéu, E. Nardi, and D. Tommasini, “
*μ*-e conversion in nuclei and*Z*′ physics,”*Nuclear Physics B*, vol. 409, no. 1, pp. 69–86, 1993. View at Publisher · View at Google Scholar · View at Scopus - V. Barger, M. S. Berger, and R. J. N. Phillips, “Quark singlets: implications and constraints,”
*Physical Review D*, vol. 52, no. 3, pp. 1663–1683, 1995. View at Publisher · View at Google Scholar · View at Scopus - M. B. Popovic and E. H. Simmons, “Weak-singlet fermions: models and constraints,”
*Physical Review D*, vol. 62, no. 3, Article ID 035002, 2000. View at Publisher · View at Google Scholar - T. G. Rizzo, “Gauge kinetic mixing and leptophobic
*Z*′ in ${E}_{6}$ and*S*_{0}(10),”*Physical Review D*, vol. 59, no. 1, Article ID 015020, 1998. View at Publisher · View at Google Scholar - S. Chaudhuri, S.-W. Chung, G. Hockney, and J. Lykken, “String consistency for unified model building,”
*Nuclear Physics B*, vol. 456, no. 1-2, pp. 89–129, 1995. View at Publisher · View at Google Scholar · View at Scopus - R. W. Robinett and J. L. Rosner, “Prospects for a second neutral vector boson at low mass in
*S*_{0}(10),”*Physical Review D*, vol. 25, no. 11, pp. 3036–3064, 1982. View at Publisher · View at Google Scholar - R. W. Robinett and J. L. Rosner, “Erratum: Prospects for a second neutral vector boson at low mass in
*S*_{0}(10),”*Physical Review D*, vol. 27, no. 3, p. 679, 1983. View at Publisher · View at Google Scholar - P. Langacker and M. Plumacher, “Flavor changing effects in theories with a heavy
*Z*′ boson with family nonuniversal couplings,”*Physical Review D*, vol. 62, no. 1, Article ID 013006, 2000. View at Publisher · View at Google Scholar - V. Barger, C.-W. Chiang, P. Langacker, and H.-S. Lee, “Z′ mediated flavor changing neutral currents in
*B*meson decays,”*Physics Letters B*, vol. 580, no. 3-4, pp. 186–196, 2004. View at Publisher · View at Google Scholar · View at Scopus - V. Barger, C.-W. Chiang, P. Langacker, and H.-S. Lee, “Solution to the $B\to \pi K$ puzzle in a flavor-changing
*Z*′ model,”*Physics Letters B*, vol. 598, no. 3-4, pp. 218–226, 2004. View at Publisher · View at Google Scholar · View at Scopus - V. Barger, L. Everett, J. Jiang, et al., “Family nonuniversal $U{\left(1\right)}^{\text{'}}$ gauge symmetries and $b\to s$ transitions,”
*Physical Review D*, vol. 80, no. 5, Article ID 055008, 2009. View at Publisher · View at Google Scholar - V. Barger, L. Everett, J. Jiang, et al., “$b\to s$ transitions in family-dependent $U{\left(1\right)}^{\text{'}}$ models,”
*Journal of High Energy Physics*, vol. 0912, p. 048, 2009. View at Publisher · View at Google Scholar - A. K. Alok, S. Baek, and D. London, “Neutral gauge boson contributions to the dimuon charge asymmetry in
*B*decays,”*Journal of High Energy Physics*, vol. 1107, p. 111, 2011. View at Publisher · View at Google Scholar - H. D. Kim, S.-G. Kim, and S. Shin, “D0 dimuon charge asymmetry from ${B}_{s}$ system with
*Z*′ couplings and the recent LHCb result,”*Physical Review D*, vol. 88, no. 1, 2013. View at Publisher · View at Google Scholar - K. Cheung, C.-W. Chiang, N. G. Deshpande, and J. Jiang, “Constraints on flavor-changing
*Z*′ models by Bs mixing,*Z*′ production, and ${B}_{s}\to {\mu}^{+}{\mu}^{-}$,”*Physics Letters B*, vol. 652, no. 5-6, pp. 285–291, 2007. View at Publisher · View at Google Scholar · View at Scopus - C. W. Chiang, N. G. Deshpande, and J. Jiang, “Flavor changing effects in family nonuniversal
*Z*′ models,”*Journal of High Energy Physics*, vol. 0608, p. 075, 2006. View at Publisher · View at Google Scholar - Q. Chang, X. Q. Li, and Y. D. Yang, “Constraints on the nonuniversal
*Z*′ couplings from $B\to \pi K,\pi {K}^{*}$ and*ρ**K*decays,”*Journal of High Energy Physics*, vol. 0905, p. 056, 2009. View at Publisher · View at Google Scholar - Q. Chang, X. Q. Li, and Y. D. Yang, “Family non-universal
*Z*′ effects on $\stackrel{-}{{B}_{q}}-{B}_{q}$ mixing, $B\to Xs\mu +\mu -$ and $Bs\to \mu +\mu -$ decays,”*Journal of High Energy Physics*, vol. 1002, p. 082, 2010. View at Publisher · View at Google Scholar - Q. Chang, X. Q. Li, and Y. D. Yang, “$B\to {K}^{*}{l}^{+}{l}^{-}$, $K{l}^{+}{l}^{-}$ decays in a family non-universal
*Z*′ model,”*Journal of High Energy Physics*, vol. 1004, p. 052, 2010. View at Publisher · View at Google Scholar - J. Hua, C. S. Kim, and Y. Li, “Testing the non-universal
*Z*′ model in ${B}_{s}\to \varphi {\pi}^{0}$ decay,”*Physics Letters B*, vol. 690, no. 5, pp. 508–513, 2010. View at Publisher · View at Google Scholar · View at Scopus - J. Hua, C. S. Kim, and Y. Li, “Annihilation-type charmless radiative decays of B meson in non-universal
*Z*′ model,”*The European Physical Journal C*, vol. 69, no. 1-2, pp. 139–146, 2010. View at Publisher · View at Google Scholar - Q. Chang and Y. H. Gao, “Probe a family non-universal
*Z*′ boson effects in ${B}_{s}\to \varphi {\mu}^{+}{\mu}^{-}$ decay,”*Nuclear Physics B*, vol. 845, no. 2, pp. 179–189, 2011. View at Publisher · View at Google Scholar - Y. Li, J. Hua, and K. C. Yang, “$B\to {K}_{1}{l}^{+}{l}^{-}$ decays in a family non-universal
*Z*′ model,”*The European Physical Journal C*, vol. 71, p. 1775, 2011. View at Publisher · View at Google Scholar - X.-Q. Li, Y.-M. Li, G.-R. Lu, and F. Su, “${B}_{s}^{0}-\overline{{B}_{s}^{0}}$ mixing in a family non-universal
*Z*′ model revisited,”*Journal of High Energy Physics*, vol. 1205, p. 049, 2012. View at Publisher · View at Google Scholar - A. Arhrib, K. Cheung, C.-W. Chiang, and T.-C. Yuan, “Single top quark production in flavor-changing
*Z*′ models,”*Physical Review D*, vol. 73, no. 7, p. 075015, 2006. View at Publisher · View at Google Scholar - C.-W. Chiang, Y.-F. Lin, and J. Tandean, “Probing leptonic interactions of a family-nonuniversal
*Z*′ boson,”*Journal of High Energy Physics*, vol. 1111, p. 083, 2011. View at Publisher · View at Google Scholar - M.-Z. Yang, “Semileptonic decay of
*B*and $D\to {K}_{0}^{*}\left(1430\right)\overline{l}v$ from QCD sum rule,”*Physical Review D*, vol. 73, no. 3, Article ID 034027, 2006. View at Publisher · View at Google Scholar - M.-Z. Yang, “Erratum: Semileptonic decay of
*B*and $D\to {K}_{0}^{*}\left(1430\right)\overline{l}v$ from QCD sum rule [Phys. Rev. D 73, 034027 (2006)],”*Physical Review D*, vol. 73, no. 7, Article ID 079901, 2006. View at Publisher · View at Google Scholar - T. M. Aliev, K. Azizi, and M. Savci, “Analysis of rare $B\to {K}_{0}^{*}\left(1430\right){l}^{+}{l}^{-}$ Decay within QCD sum rules,”
*Physical Review D*, vol. 76, no. 7, Article ID 074017, 2007. View at Publisher · View at Google Scholar · View at Scopus - Y.-M. Wang, M. J. Aslam, and C.-D. Lu, “Scalar mesons in weak semileptonic decays of ${B}_{\left(s\right)}$,”
*Physical Review D*, vol. 78, no. 1, Article ID 014006, 2008. View at Publisher · View at Google Scholar - Y.-J. Sun, Z.-H. Li, and T. Huang, “${B}_{\left(s\right)}\to S$ transitions in the light cone sum rules with the chiral current,”
*Physical Review D*, vol. 83, no. 2, Article ID 025024, 2011. View at Publisher · View at Google Scholar - R.-H. Li, C.-D. Lu, W. Wang, and X. Wang, “$B\to S$ transition form factors in the perturbative QCD approach,”
*Physical Review D*, vol. 79, no. 1, Article ID 014013, 2009. View at Publisher · View at Google Scholar - H.-Y. Cheng, C.-K. Chua, and C.-W. Hwang, “Covariant light-front approach for
*s*-wave and*ρ*-wave mesons: its application to decay constants and form factors,”*Physical Review D*, vol. 69, no. 7, Article ID 074025, 2004. View at Publisher · View at Google Scholar - P. Ball and R. Zwicky, “${B}_{d,s}\to \rho ,\omega ,{K}^{*},\varphi $ decay form factors from light-cone sum rules reexamined,”
*Physical Review D*, vol. 71, no. 1, Article ID 014029, 2005. View at Publisher · View at Google Scholar - Z.-H. Li, N. Zhu, X.-J. Fan, and T. Huang, “Form factors ${f}_{+}^{B\to \pi}\left(0\right)$ and ${f}_{+}^{D\to \pi}\left(0\right)$ in QCD and determination of $\left|{V}_{ub}\right|$ and $\left|{V}_{cd}\right|$,”
*Journal of High Energy Physics*, vol. 1205, p. 160, 2012. View at Publisher · View at Google Scholar - C. D. Lu, Y. M. Wang, and H. Zou, “Twist-3 distribution amplitudes of scalar mesons from QCD sum rules,”
*Physical Review D*, vol. 75, no. 5, Article ID 056001, 2007. View at Publisher · View at Google Scholar - G. Buchalla, A. J. Buras, and M. E. Lautenbacher, “Weak decays beyond leading logarithms,”
*Reviews of Modern Physics*, vol. 68, no. 4, pp. 1125–1244, 1996. View at Publisher · View at Google Scholar · View at Scopus - P. Ball, G. W. Jones, and R. Zwicky, “$B\to V\gamma $ beyond QCD factorization,”
*Physical Review D*, vol. 75, no. 5, Article ID 054004, 2007. View at Publisher · View at Google Scholar · View at Scopus - P. Ball and G. W. Jones, “Twist-3 distribution amplitudes of ${K}^{*}$ and
*ϕ*mesons,”*Journal of High Energy Physics*, vol. 0703, p. 069, 2007. View at Publisher · View at Google Scholar