Abstract
The rare leptonic decays Bs, d → l+l− (l = e, μ, τ) present an important base to analyse the flavour structure of the standard model (SM) and also become a potential source to dig out possible signatures of new physics (NP) beyond the SM. The muonic decay Bs, d → μ+μ− has been observed at the LHC as well as the upper limits of branching ratios for other Bs, d → l+l− decays have been updated recently. In this paper, using the χ2 fitting method we have studied all these decay channels considering the effect of a Z′ boson. Our analysing method reproduces the result of the muonic channel of Bs meson, hence we have used the same strategy for the other Bs, d → l+l− decays.
Similar content being viewed by others
References
Fleischer, R., Espinosa, D.G., Jaarsma, R., Tetlalmatzi-Xolocotzi, G.: CP violation in leptonic rare \( {B}_s^0 \) decays as a probe of new physics. Eur. Phys. J. C. 78, 1 (2018)
Fleischer, R.: New probes of new physics with leptonic rare B decays, arXiv: 1805.05625 [hep-ph] (2018)
Lanfranchi, G.: Rare b-hadron decays as probe of new physics. Int. J. Mod. Phys. A. 33, 1830012 (2018)
Altmannshofer, W., Niehoff, C., Straub, D.M.: Bs → μ+μ− as current and future probe of new physics. JHEP. 1705, 076 (2017)
LHCb Collaboration, Aaij, R., et al.: Measurement of the \( {B}_s^0\to {\mu}^{+}{\mu}^{-} \) branching fraction and search for \( {B}_s^0\to {\mu}^{+}{\mu}^{-} \) decays at the LHCb experiment. Phys. Rev. Lett. 111, 101805 (2013)
CMS Collaboration, Chatrchyan, S., et al.: Measurement of the \( {B}_s^0\to {\mu}^{+}{\mu}^{-} \) branching fraction and search for \( {B}_s^0\to {\mu}^{+}{\mu}^{-} \) decays at the CMS experiment. Phys. Rev. Lett. 111, 101804 (2013)
LHCb Collaboration, Aaij, R., et al.: Measurement of the \( {B}_s^0\to {\mu}^{+}{\mu}^{-} \) branching fraction and effective lifetime and search for \( {B}_s^0\to {\mu}^{+}{\mu}^{-} \) decays. Phys. Rev. Lett. 118, 191801 (2017)
LHCb Collaboration, Aaij, R., et al.: Test of lepton universality using B+ → K+l+l− decays. Phys. Rev. Lett. 113, 151601 (2014)
LHCb Collaboration, Aaij, R., et al.: Search for lepton-universality violation in B+ → K+l+l− decays. Phys. Rev. Lett. 122, 191801 (2019)
LHCb Collaboration, Aaij, R., et al.: Test of lepton universality using B0 → K∗0l+l− decays. JHEP. 1708, 055 (2017)
Belle Collaboration, Abdesslam, A.: et al.: Test of lepton flavor universality in B → K∗l+l− decays at Belle, arXiv: 1904.02440 [hep-ex]
CDF Collaboration, Aaltonen, T., et al.: Measurement of the Forward-Backward asymmetry in the B → K(∗)μ+μ− decay and first observation of the \( {B}_s^0\to {\varphi \mu}^{+}{\mu}^{-} \) decay. Phys. Rev. Lett. 106, 161801 (2011)
LHCb Collaboration, Aaij, R., et al.: Angular analysis and differential branching fraction of the decay \( {B}_s^0\to {\varphi \mu}^{+}{\mu}^{-} \). JHEP. 1509, 179 (2015)
LHCb Collaboration, Aaij, R., et al.: Differential branching fraction and angular analysis of the decay \( {B}_s^0\to {\varphi \mu}^{+}{\mu}^{-} \). JHEP. 1307, 084 (2013)
ATLAS Collaboration, Aaboud, M., et al.: Angular analysis of \( {B}_d^0\to {K}^{\ast }{\mu}^{+}{\mu}^{-} \) decays in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector. JHEP. 1810, 047 (2018)
Aebischer, J., Kumar, J., Stangl, P., Straub, D.M.: A global likelihood for precision constraints and flavour anomalies. Eur. Phys. J. C. 79, 509 (2019)
Belle Collaboration, A. Abdesslam et al.: Angular analysis of B0 → K∗(892)0l+l−, arXiv: 1604.04042 [hep-ex]
CMS Collaboration [CMS Collaboration]: Measurement of the P1 and \( {P}_5^{\prime } \) angular parameters of the decay B0 → K∗0μ+μ− in proton-proton collisions at \( \sqrt{s}=8 \) TeV, CMS-PAS-BPH-15-008
Crivellin, A., et al.: Lepton-flavor violating B decays in generic Z′ models. Phys. Rev. D. 92, 054013 (2015)
R. Gauld, F. Goertz and U. Haisch, “An explicit Z′-boson explanation of the B → K∗μ+μ− anomaly”, JHEP 1401, ] (2014)
Bauer, M., Neubert, M.: One leptoquark to rule them all: A minimal explanation for \( {R}_D^{\ast } \), RK, and (g − 2)μ. Phys. Rev. Lett. 116, 141802 (2016)
Fajfer, S., Kosnik, N.: Vector leptoquark resolution of RK and \( {R}_D^{\left(\ast \right)} \) puzzles. Phys. Lett. B. 755, 270 (2016)
Sahoo, S., Mohanta, R.: Study of the rare semileptonic decays \( {B}_d^0\to {Kl}^{+}{l}^{-} \) in scalar leptoquark model. Phys. Rev. D. 93, 034018 (2016)
Sahoo, S., Mohanta, R.: Scalar leptoquarks and the rare B meson decays. Phys. Rev. D. 91, 094016 (2015)
Hiller, G., Schmatz, M.: RK and future b → sll BSM opportunities. Phys. Rev. D. 90, 054014 (2014)
Hiller, G.: Lepton nonuniversality anomalies and implications, (2018)
Alda, J., Guasch, J., Penaranda, S.: Some results on lepton flavour universality violation. Eur. Phys. J. C. 79, 588 (2019)
CDF Collaboration, Abe, F., et al.: Inclusive jet cross section in \( \kern0.5em \overline{p}p \) collisions at s} = 1.8 TeV. Phys. Rev. Lett. 77, 438 (1996)
CDF Collaboration, Abe, F., et al.: Measurement of the e+e− invariant-mass distribution in \( \kern0.5em \overline{p}p \) collisions at \( \sqrt{s}=1.8 \) TeV. Phys. Rev. Lett. 67, 2418 (1991)
LEP Collaborations, D. Abbaneo et al.: A Combination of preliminary electroweak measurements and constraints on the Standard Model
Sahoo, S., Das, C.K., Maharana, L.: The prediction of mass of Z′ -boson from \( {B}_q^0-\overline{B_q^0} \) mixing. Int. J. Mod. Phys. A. 26, 3347 (2011)
ATLAS Collaboration, Aaboud, M., et al.: Search for additional heavy neutral Higgs and gauge bosons in the ditau final state produced in 36 fb−1 of pp collisions at \( \sqrt{\boldsymbol{s}}=13 \) TeV with the ATLAS detector. JHEP. 1801, 055 (2018)
CMS Collaboration, Sirunyan, A.M., et al.: Search for high-mass resonances in dilepton final states in proton-proton collisions at \( \sqrt{\boldsymbol{s}}=13 \) TeV. JHEP. 1806, 120 (2018)
Bandyopadhyay, T., Bhattacharya, G., Das, D., Raychaudhuri, A.: A reappraisal of constraints on Z′ models from unitarity and direct searches at the LHC. Phys. Rev. D. 98, 035027 (2018)
ATLAS Collaboration, Aaboud, M., et al.: Search for new high-mass phenomena in the dilepton final state using 36 fb−1of proton-proton collision data at \( \sqrt{\boldsymbol{s}}=13 \) TeV with the ATLAS detector. JHEP. 1710, 182 (2017)
Luzio, L.D., Kirk, M., Lenz, A., Rauh, T.: ΔMs theory precision confronts flavour anomalies. JHEP. 1912, 009 (2019)
Fleischer, R., Jaarsma, R., Tetlalmatzi-Xolocotzi, G.: In pursuit of new physics with \( {B}_{\left(s,d\right)}^0\to {l}^{+}{l}^{-} \). JHEP. 1705, 156 (2017)
Datta, A., Kumar, J., London, D.: The B anomalies and new physics in b → se+e−. Phys. Lett. B. 797, 134858 (2019)
CDF Collaboration, Aaltonen, T., et al.: Search for the decays \( {B}_{(s)}^0\to {e}^{+}{\mu}^{-} \) and \( {B}_{(s)}^0\to {e}^{+}{e}^{-} \) in CDF Run II. Phys. Rev. Lett. 102, 201801 (2009)
LHCb Collaboration, Aaij, R., et al.: Search for the decays \( {B}_s^0\to {\tau}^{+}{\tau}^{-} \) and B0 → τ+τ−. Phys. Rev. Lett. 118, 251802 (2017)
Tanabashi, M., et al.: Particle Data Group. Phys. Rev. D. 98, 030001 (2018)
Buchalla, G., Buras, A.J., Lautenbacher, M.E.: Weak decays beyond leading logarithms. Rev. Mod. Phys. 68, 1125 (1996)
Buras, A. J.: Weak hamiltonian, CP violation and rare decays
Buras, A. J.: Flavour dynamics: CP violation and rare decays
Buchalla, G., Buras, A.J.: QCD corrections to rare K- and B-decays for arbitrary top quark mass. Nucl. Phys. B. 400(225), 239 (1993)
Buras, A.J., Lautenbacher, M.E., Misiak, M., Münz, M.: Direct CP violation in KL → π0e+e− beyond leading logarithms. Nucl. Phys. B. 423, 349 (1994)
Chang, Q., Li, X.-Q., Dong, Y.: Family non-universal Z′ effects on \( \overline{B_q}-{B}_q \) mixing, B → Xsμ+μ− and Bs → μ+μ− Decays. JHEP. 1002, 082 (2010)
Langacker, P., Plümacher, M.: Flavor changing effects in theories with a heavy Z′ boson with family nonuniversal couplings. Phys. Rev. D. 62, 013006 (2000)
Barger, V., et al.: b → s transitions in family-dependent U(1)′ models. JHEP. 0912, 048 (2009)
Chaudhuri, S., Chung, S.W., Hockney, G., Lykken, J.: String consistency for unified model building. Nucl. Phys. B. 456(89), 129 (1995)
Cleaver, G., Cvetič, M., Epinosa, J.R., Everett, L., Langacker, P.: Classification of flat directions in perturbative heterotic superstring vacua with anomalous U(1). Nucl. Phys. B. 525, 3 (1998)
Cleaver, G., Cvetič, M., Espinosa, J.R., Everett, L., Langacker, P., Wang, J.: Physics implications of flat directions in free fermionic superstring models. I. Mass spectrum and couplings. Phys. Rev. D. 59, 055005 (1999)
DELPHI Collaboration, Abreu, P., et al.: A study of radiative muon-pair events at Z0 energies and limits on an additional Z′ gauge boson. Z. Phys. C. 65, 603 (1995)
Erler, J., Langacker, P.: Constraints on extended neutral gauge structures. Phys. Lett. B. 456, 68 (1999)
Erler, J., Langacker, P.: Indications for an extra neutral gauge boson in electroweak precision data. Phys. Rev. Lett. 84, 212 (2000)
Erler, J., Langacker, P., Munir, S., Pena, E.R.: Improved constraints on Z′ bosons from electroweak precision data. JHEP. 0908, 017 (2009)
Bobovnikov, I.D., Osland, P., Pankov, A.A.: Improved constraints on the mixing and mass of Z′ bosons from resonant diboson searches at the LHC at \( \sqrt{s}=13 \) TeV and predictions for Run II. Phys. Rev. D. 98, 095029 (2018)
Barger, V., Chiang, C.-W., Langacker, P., Lee, H.S.: Solution to the B → πK puzzle in a flavor-changing Z′ model. Phys. Lett. B. 598, 218 (2004)
Barger, V., Chiang, C.-W., Langacker, P., Lee, H.S.: Z′ mediated flavour changing neutral currents in B meson decays. Phys. Lett. B. 580, 186 (2004)
Barger, V., Chiang, C.-W., Jiang, J., Langacker, P.: \( {B}_s-\overline{B_s} \) mixing in Z′ models with flavor-changing neutral currents. Phys. Lett. B. 596, 229 (2004)
Mohanta, R., Giri, A.K.: Explaining B → πK anomaly with non-universal Z′ boson. Phys. Rev. D. 79, 057902 (2009)
Cheung, K., Chiang, C.-W., Deshpande, N.G., Jiang, J.: Constraints on flavor-changing Z′ models by Bs mixing, Z′ production, and Bs → μ+μ−. Phys. Lett. B. 652, 285 (2007)
Cvetic, M., Lynn, B.W.: Gauge structures beyond the standard model and 100-GeV mass region, 69. Phys. Rev. D. 35, 51 (1987)
Nayek, P., Maji, P., Sahoo, S.: Study of semileptonic decays B → πl+l− and B → ρl+l− in non-universal Z' model. Phys. Rev. D. 99, 031005 (2019)
Schael, S., et al.: The LEP Electroweak Working Group. Phys. Rep. 532, 119 (2013)
King, D., Lenz, A., Rauh, T.: Bs mixing observables and |Vtd/Vts| from sum rules. JHEP. 1905, 034 (2019)
Hua, J., Kim, C.S., Li, Y.: Annihilation-type charmless radiative decays of B meson in non-universal Z′ model. Eur. Phys. J. C. 69(139), 146 (2010)
Dass, H.K., Verma, R.: Higher mathematical physics, Chapter-52 (pp: 1402–1488). Chand & Company Pvt. Ltd., Ramnagar, New Delhi, India (2014)
Andrae, R., Schulze-Hartung, T., Melchior, P.: Dos and don’ts of reduced chisquared
Blobel, V.: Data Fitting. Presented at University of Hamburg, March (2005)
Beaudry, N., Datta, A., London, D., Rashed, A., Roux, J.: The B → πK puzzle revisited. JHEP. 1801, 074 (2018)
Chiang, C.-W., Gronau, M., Rosner, J.L., Suprun, D.A.: Charmless B → PP decays using flavor SU(3) symmetry. Phys. Rev. D. 70, 034020 (2004)
BABAR Collaboration, Lees, J.P., et al.: Toward a first-principles calculation of electroweak box diagrams. Phys. Rev. Lett. 112, 211802 (2014)
S. Biswas and K. Melnikov: Second order QCD corrections to inclusive semileptonic \( b\to {X}_cl{\overline{\nu}}_l \) decays with massless and massive lepton. JHEP 1002, 089 (2010)
Kruger, F., Sehgal, L.M.: Lepton polarization in the decays B → Xsμ+μ− and B → Xsτ+τ−. Phys. Lett. B. 380, 199 (1996)
Beneke, M., Buchalla, G., Neubert, M., Sachrajda, C.T.: Penguins with charm and quark-hadron duality. Eur. Phys. J. C. 61, 439 (2009)
Huber, T., Hurth, T., Lunghi, E.: Logarithmically enhanced corrections to the decay rate and forward backward asymmetry in \( \overline{B}\to {X}_s{l}^{+}{l}^{-} \). Nucl. Phys. B. 802, 40 (2008)
Ali, A., Ball, P., Handoko, L.T., Hiller, G.: Comparative study of the decays B → (K, K∗)l+l− in the standard model and supersymmetric theories. Phys. Rev. D. 61, 074024 (2000)
Ahmed, I., Aslam, M.J., Paracha, M.A.: Impact ofZ′and universal extra dimension parameters on different asymmetries inBs→ϕℓ+ℓ−decays. Phys. Rev. D. 88, (2013)
Mohanta, R.: Implications of the non-universal Z boson in FCNC mediated rare decays. Phys. Rev. D. 71, 114013 (2005)
Alok, A.K., Dighe, A., Sankar, S.U.: Probing extended Higgs sector through rare b → sμ+μ− transitions. Phys. Rev. D. 78, 034020 (2008)
Buras, A.J., Fleischer, R., Girrbach, J., Knegjens, R.: Probing new physics with the Bs → μ+μ− time-dependent rate. JHEP. 1307, 77 (2013)
Alok, A.K., Datta, A., Dighe, A., Duraisamy, M., Ghosh, D., London, D.: New physics in b → sμ+μ−: CP-conserving observables. JHEP. 1111, 121 (2011)
Alok, A.K., Dighe, A., Gangal, S., Kumar, D.: Continuing search for new physics in b → sμμ decays: two operators at a time. JHEP. 1906, 089 (2019)
Sahoo, S., Mohanta, R.: Study of the rare decays \( {B}_{s,d}^{\ast}\to {\mu}^{+}{\mu}^{-} \). J. Phys. G. 44, 3 (2017)
Ghosh, D., Nardecchia, M., Renner, S.A.: Hint of lepton flavour non-universality in B meson decays. JHEP. 1412, 131 (2014)
Alok, A.K., Datta, A., Dighe, A., Duraisamy, M., Ghosh, D., London, D.: New physics in b → sμ+μ−: CP-violating observables. JHEP. 1111, 122 (2011)
Mohanta, R.: Effect of scalar leptoquarks on the rare decays of Bs meson. Phys. Rev. D. 89, 014020 (2014)
Acknowledgements
S. Biswas acknowledges NIT Durgapur for providing fellowship for her research work. P. Nayek and S. Sahoo would like to thank SERB, DST, Govt. of India for financial support through grant no. EMR/2015/000817. P. Maji thanks DST, Government of India for providing INSPIRE Fellowship (Code – IF160115) during her research.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Biswas, S., Nayek, P., Maji, P. et al. New Physics Effect on Bs, d → l+l− Decays. Int J Theor Phys 60, 893–916 (2021). https://doi.org/10.1007/s10773-021-04713-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-021-04713-3