Abstract
After summarizing the current theoretical status of the four-body decay B → K ∗(→ Kπ)μ + μ −, we apply the formalism of spin-symmetries to the full angular distribution, including the S-wave part involving a broad scalar resonance K ∗0 . While we recover in the P-wave sector the known relation between the angular observables P (′) i , we find in the S-wave sector two new relations connecting the coefficients of the S-wave angular distribution and reducing the number of independent S-wave observables from six to four. Included in the experimental data analysis, these relations can help to reduce the background from S-wave pollution. We further point out the discriminative power of the maximum of the angular observable P 2 as a charm-loop insensitive probe of right-handed currents. Moreover, we show that in absence of right-handed currents the angular observables P ′4 and P ′5 fulfill the relation P ′4 = βP ′5 at the position where P 2 reaches its maximum.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
F. Krüger and J. Matias, Probing new physics via the transverse amplitudes of B 0 → K ∗0(→ K − π +)ℓ+ℓ− at large recoil, Phys. Rev. D 71 (2005) 094009 [hep-ph/0502060] [INSPIRE].
D. Bečirević and E. Schneider, On transverse asymmetries in B → K ∗ℓ+ℓ−, Nucl. Phys. B 854 (2012) 321 [arXiv:1106.3283] [INSPIRE].
J. Matias, F. Mescia, M. Ramon and J. Virto, Complete anatomy of \( {\overline{B}}_d\to {\overline{K}}^{\ast 0}\left(\to K\pi \right){\ell}^{+}{\ell}^{-} \) and its angular distribution, JHEP 04 (2012) 104 [arXiv:1202.4266] [INSPIRE].
S. Descotes-Genon, J. Matias, M. Ramon and J. Virto, Implications from clean observables for the binned analysis of B → K ∗ μ + μ − at large recoil, JHEP 01 (2013) 048 [arXiv:1207.2753] [INSPIRE].
S. Descotes-Genon, T. Hurth, J. Matias and J. Virto, Optimizing the basis of B → K ∗ℓ+ℓ− observables in the full kinematic range, JHEP 05 (2013) 137 [arXiv:1303.5794] [INSPIRE].
S. Descotes-Genon, J. Matias and J. Virto, Understanding the B → K ∗ μ + μ − anomaly, Phys. Rev. D 88 (2013) 074002 [arXiv:1307.5683] [INSPIRE].
LHCb collaboration, Measurement of form-factor-independent observables in the decay B 0 → K ∗0 μ + μ −, Phys. Rev. Lett. 111 (2013) 191801 [arXiv:1308.1707] [INSPIRE].
S. Descotes-Genon, L. Hofer, J. Matias and J. Virto, On the impact of power corrections in the prediction of B → K ∗ μ + μ − observables, JHEP 12 (2014) 125 [arXiv:1407.8526] [INSPIRE].
W. Altmannshofer et al., Symmetries and asymmetries of B → K ∗ μ + μ − decays in the standard model and beyond, JHEP 01 (2009) 019 [arXiv:0811.1214] [INSPIRE].
W. Altmannshofer and D.M. Straub, New physics in B → K ∗ μμ?, Eur. Phys. J. C 73 (2013) 2646 [arXiv:1308.1501] [INSPIRE].
F. Beaujean, C. Bobeth and D. van Dyk, Comprehensive Bayesian analysis of rare (semi)leptonic and radiative B decays, Eur. Phys. J. C 74 (2014) 2897 [Erratum ibid. C 74 (2014) 3179] [arXiv:1310.2478] [INSPIRE].
R.R. Horgan, Z. Liu, S. Meinel and M. Wingate, Calculation of B 0 → K ∗0 μ + μ − and B 0 s → ϕμ + μ − observables using form factors from lattice QCD, Phys. Rev. Lett. 112 (2014) 212003 [arXiv:1310.3887] [INSPIRE].
S. Descotes-Genon, J. Matias and J. Virto, Optimizing the basis of B → K ∗ l + l − observables and understanding its tensions, PoS(EPS-HEP 2013)361 [arXiv:1311.3876] [INSPIRE].
C. Hambrock, G. Hiller, S. Schacht and R. Zwicky, B → K ∗ form factors from flavor data to QCD and back, Phys. Rev. D 89 (2014) 074014 [arXiv:1308.4379] [INSPIRE].
LHCb collaboration, Differential branching fraction and angular analysis of the B + → K + μ + μ − decay, JHEP 02 (2013) 105 [arXiv:1209.4284] [INSPIRE].
LHCb collaboration, Differential branching fractions and isospin asymmetries of B → K (∗) μ + μ − decays, JHEP 06 (2014) 133 [arXiv:1403.8044] [INSPIRE].
S. Descotes-Genon, L. Hofer, J. Matias and J. Virto, Current status of the B → K ∗ μ + μ − anomaly and global analysis of b → sℓℓ deviations, in preparation.
M. Wingate, private communication.
LHCb collaboration, Test of lepton universality using B + → K +ℓ+ℓ− decays, Phys. Rev. Lett. 113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
D. Ghosh, M. Nardecchia and S.A. Renner, Hint of lepton flavour non-universality in B meson decays, JHEP 12 (2014) 131 [arXiv:1408.4097] [INSPIRE].
T. Hurth, F. Mahmoudi and S. Neshatpour, Global fits to b → sℓℓ data and signs for lepton non-universality, JHEP 12 (2014) 053 [arXiv:1410.4545] [INSPIRE].
W. Altmannshofer and D.M. Straub, New physics in b → s transitions after LHC run 1, arXiv:1411.3161 [INSPIRE].
S. Jäger and J. Martin Camalich, On B → V ℓℓ at small dilepton invariant mass, power corrections and new physics, JHEP 05 (2013) 043 [arXiv:1212.2263] [INSPIRE].
A. Bharucha, D.M. Straub and R. Zwicky, B → V ℓ+ℓ− in the standard model from light-cone sum rules, arXiv:1503.05534 [INSPIRE].
S. Descotes-Genon, L. Hofer, J. Matias and J. Virto, Theoretical status of B → K ∗ μ + μ − : the path towards new physics, in Proceedings of the 4th Symposium on Prospects in the Physics of Discrete Symmetries (DISCRETE 2014), London U.K., 2-6 Dec 2014 [J. Phys. Conf. Ser. 631 (2015) 012027] [arXiv:1503.03328] [INSPIRE].
P. Ball and R. Zwicky, New results on B → π, K, η decay form factors from light-cone sum rules, Phys. Rev. D 71 (2005) 014015 [hep-ph/0406232] [INSPIRE].
S. Jäger and J. Martin Camalich, Reassessing the discovery potential of the B → K ∗ℓ+ℓ− decays in the large-recoil region: SM challenges and BSM opportunities, arXiv:1412.3183 [INSPIRE].
J. Lyon and R. Zwicky, Resonances gone topsy turvy — the charm of QCD or new physics in b→sℓ+ℓ− ?,arXiv:1406.0566 [INSPIRE].
A. Khodjamirian, T. Mannel, A.A. Pivovarov and Y.M. Wang, Charm-loop effect in B → K (∗)ℓ+ℓ− and B → K ∗γ, JHEP 09 (2010) 089 [arXiv:1006.4945] [INSPIRE].
D. Bečirević and A. Tayduganov, Impact of B → K ∗0 ℓ + ℓ − on the new physics search in B → K ∗ℓ+ℓ− decay, Nucl. Phys. B 868 (2013) 368 [arXiv:1207.4004] [INSPIRE].
J. Matias, On the S-wave pollution of B → K ∗ℓ+ℓ− observables, Phys. Rev. D 86 (2012) 094024 [arXiv:1209.1525] [INSPIRE].
T. Blake, U. Egede and A. Shires, The effect of S-wave interference on the B 0 → K ∗0ℓ+ℓ− angular observables, JHEP 03 (2013) 027 [arXiv:1210.5279] [INSPIRE].
M. Döring, U.-G.Meißner and W. Wang, Chiral dynamics and S-wave contributions in semileptonic B decays, JHEP 10 (2013) 011 [arXiv:1307.0947] [INSPIRE].
U. Egede, T. Hurth, J. Matias, M. Ramon and W. Reece, New physics reach of the decay mode \( \overline{B}\to {\overline{K}}^{\ast 0}{\ell}^{+}{\ell}^{-} \), JHEP 10 (2010) 056 [arXiv:1005.0571] [INSPIRE].
E. Lunghi and J. Matias, Huge right-handed current effects in B → K ∗(Kπ)ℓ+ℓ− in supersymmetry, JHEP 04 (2007) 058 [hep-ph/0612166] [INSPIRE].
J. Matias and N. Serra, Symmetry relations between angular observables in B 0 → K ∗ μ + μ − and the LHCb P ′5 anomaly, Phys. Rev. D 90 (2014) 034002 [arXiv:1402.6855] [INSPIRE].
K.A. Petridis, private communication.
U. Egede, M. Patel and K.A. Petridis, Method for an unbinned measurement of the q 2 dependent decay amplitudes of \( {\overline{B}}^0\to {{\overline{K}}^{\ast}}^0{\mu}^{+}{\mu}^{-} \) decays, JHEP 06 (2015) 084 [arXiv:1504.00574] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1502.00920
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Hofer, L., Matias, J. Exploiting the symmetries of P and S wave for B →K ∗ μ + μ − . J. High Energ. Phys. 2015, 104 (2015). https://doi.org/10.1007/JHEP09(2015)104
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2015)104