Abstract
We present an analytic calculation of Branching Ratio (BR) and Charge—Parity (CP) violating asymmetries of the \(B_s^0\) meson decays to light vector mesons \(\left( {{K^{*0}}{{\overline K }^{*0}}} \right)\) within the framework of Naive Factorization (NF) and QCD Factorization (QCDF). We find the \({\rm{BR}}\left( {B_s^0 \to {K^{*0}}{{\overline K }^{*0}}} \right) = 1.87 \times {10^{ - 5}}\) and 1.40 × 10−5 for NF and QCDF, respectively. We also find that within QCDF the direct CP violation \(\left( {{\cal A}_{CP}^{{\rm{dir}}}} \right) = - 0.01\), CP violation in mixing \(\left( {{\cal A}_{CP}^{{\rm{mix}}}} \right) = 0.31\) and CP violation due to interference \(\left( {{\cal A}_{CP}^{{\rm{\Delta \Gamma }}}} \right) = 0.95\).
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<OrderedList><ListItem><ItemNumber>1.</ItemNumber><ItemContent><Para>Page 299, right column, line 7 from the top (1.08 ± 0.21) × 10<Superscript>−5</Superscript> should read (1.08 ± 0.21(stat.) ± 0.14(syst.) ± 0.06(<Emphasis Type="Italic">fd</Emphasis>/<Emphasis Type="Italic">fs</Emphasis>)) × 10<Superscript>−5</Superscript>.</Para></ItemContent></ListItem><ListItem><ItemNumber>2.</ItemNumber><ItemContent><Para>Page 307, Table 4, first column: The phrase in brackets (These values are basically form LHCb result based on two independent measurements. For simplicity, only the statistical errors are cited here.) should be added after “Experimental Value”.</Para></ItemContent></ListItem><ListItem><ItemNumber>3.</ItemNumber><ItemContent><Para>Page 307, Reference [8]: LHCb Collab. (R. Aaij et al.), CERN-PH-EP-2011-183 should read LHCb Collab. (R. Aaij et al.), Phys. Lett. B <Emphasis Type="Bold">709</Emphasis>, 50 (2012).</Para></ItemContent></ListItem><ListItem><ItemNumber>4.</ItemNumber><ItemContent><Para>Page 307, Reference [9]: LHCb Collab. (R. Aaij et al.), CERN-PH-EP-2015-058 should read LHCb Collab. (R. Aaij et al.), JHEP <Emphasis Type="Bold">1507</Emphasis>, 166 (2015).</Para></ItemContent></ListItem><ListItem><ItemNumber>5.</ItemNumber><ItemContent><Para>Page 307, Reference [10]: C. Wang, Q.-A. Zhang, Y. Li, and C.-D. Lu, Eur. Phys. J. C 77, 33 (2017) should read LHCb Collab. (R. Aaij et al.), JHEP <Emphasis Type="Bold">1803</Emphasis>, 140 (2018).</Para></ItemContent></ListItem></OrderedList>
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Kamal, A., Khan, H.R. & Alhendi, H.A. Analytic Calculations of the Branching Ratio and CP Violation in \(B_s^0 \to {K^{*0}}{\overline K ^{*0}}\) Decay. Phys. Atom. Nuclei 82, 299–308 (2019). https://doi.org/10.1134/S106377881903013X
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DOI: https://doi.org/10.1134/S106377881903013X