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Study of $D_{s}^{+} rightarrow K^{+} K^{-} pi^{+}$ decay

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 Added by Chu-Wen Xiao
 Publication date 2021
  fields
and research's language is English




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We investigate the $D_{s}^{+} rightarrow K^{+} K^{-} pi^{+}$ decay theoretically with the final state interactions, which is based on the chiral unitary approach and takes into account the external and internal $W$-emission mechanisms at the quark level. Only considering three resonances contributions, the $f_0(980)$ in $S$-wave, the $bar {K}^{*}(892)^{0}$ and $phi(1020)$ in $P$-wave, one can make a good description of the recent experimental data from BESIII Collaboration, where the contribution from $S$-wave is found to be small. Besides, we also make a calculation of the corresponding branching fractions, which are consistent with the results of BESIII Collaboration and Particle Data Group.



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We report an amplitude analysis and branching fraction measurement of $D_{s}^{+} rightarrow K^{+}K^{-}pi^{+}$ decay using a data sample of 3.19 $rm fb^{-1}$ recorded with BESIII detector at a center-of-mass energy of 4.178 GeV. We perform a model-independent partial wave analysis in the low $K^{+}K^{-}$ mass region to determine the $K^{+}K^{-}$ S-wave lineshape, followed by an amplitude analysis of our very pure high-statistics sample. The amplitude analysis provides an accurate determination of the detection efficiency allowing us to measure the branching fraction ${cal B}(D_{s}^{+} rightarrow K^{+}K^{-}pi^{+}) = (5.47pm0.08_{{rm stat}}pm0.13_{{rm sys}})%$.
Within the quasi-two-body decay model, we study the localized $CP$ violation and branching fraction of the four-body decay $bar{B}^0rightarrow [K^-pi^+]_{S/V}[pi^+pi^-]_{V/S} rightarrow K^-pi^+pi^-pi^+$ when $K^-pi^+$ and $pi^-pi^+$ pair invariant masses are $0.35<m_{K^-pi^+}<2.04 , mathrm{GeV}$ and $0<m_{pi^-pi^+}<1.06, mathrm{GeV}$, with the pairs being dominated by the $bar{K}^*_0(700)^0$, $bar{K}^*(892)^0$, $bar{K}^*(1410)^0$, $bar{K}^*_0(1430)$ and $bar{K}^*(1680)^0$, and $f_0(500)$, $rho^0(770)$ , $omega(782)$ and $f_0(980)$ resonances, respectively. When dealing with the dynamical functions of these resonances, $f_0(500)$, $rho^0(770)$, $f_0(980)$ and $bar{K}^*_0(1430)$ are modeled with the Bugg model, Gounaris-Sakurai function, Flatt$acute{mathrm{e}}$ formalism and LASS lineshape, respectively, while others are described by the relativistic Breit-Wigner function. Adopting the end point divergence parameters $rho_Ain[0,0.5]$ and $phi_Ain[0,2pi]$, our predicted results are $mathcal{A_{CP}}(bar{B}^0rightarrow K^-pi^+pi^+pi^-)in[-0.383,0.421]$ and $mathcal{B}(bar{B}^0rightarrow K^-pi^+pi^+pi^-)in[7.36,199.69]times10^{-8}$ based on the hypothetical $qbar{q}$ structures for the scalar mesons in the QCD factorization approach. Meanwhile, we calculate the $CP$ violating asymmetries and branching fractions of the two-body decays $bar{B}^0rightarrow SV(VS)$ and all the individual four-body decays $bar{B}^0rightarrow SV(VS) rightarrow K^-pi^+pi^-pi^+$, respectively. Our theoretical results for the two-body decays $bar{B}^0rightarrow bar{K}^*(892)^0$$f_0(980)$, $bar{B}^0rightarrow bar{K}^*_0(1430)^0$$omega(782)$, $bar{B}^0rightarrow bar{K}^*(892)^0f_0(980)$, $bar{B}^0rightarrowbar{K}^*_0(1430)^0rho$,
Using an $e^{+}e^{-}$ annihilation data sample corresponding to an integrated luminosity of $3.19~mathrm{fb}^{-1}$ and collected at a center-of-mass energy $sqrt{s} = 4.178~mathrm{GeV}$ with the BESIII detector, we measure the absolute branching fractions $mathcal{B}(D_{s}^{+} rightarrow K_{S}^{0}K^{+}) = (1.425pm0.038_{rm stat.}pm0.031_{rm syst.})%$ and $mathcal{B}(D_{s}^{+} rightarrow K_{L}^{0}K^{+}) =(1.485pm0.039_{rm stat.}pm0.046_{rm syst.})%$. The branching fraction of $D_{s}^{+} rightarrow K_{S}^{0}K^{+}$ is compatible with the world average and that of $D_{s}^{+} rightarrow K_{L}^{0}K^{+}$ is measured for the first time. We present the first measurement of the $K_{S}^{0}$-$K_{L}^{0}$ asymmetry in the decays $D_{s}^{+} rightarrow K_{S,L}^{0}K^{+}$, and $R(D_{s}^{+} rightarrow K_{S,L}^{0}K^{+})=frac{mathcal{B}(D_{s}^{+} rightarrow K_{S}^{0}K^{+}) -mathcal{B}(D_{s}^{+} rightarrow K_{L}^{0}K^{+})}{mathcal{B}(D_{s}^{+} rightarrow K_{S}^{0}K^{+}) +mathcal{B}(D_{s}^{+} rightarrow K_{L}^{0}K^{+})}= (-2.1pm1.9_{rm stat.}pm1.6_{rm syst.})%$. In addition, we measure the direct $CP$ asymmetries $A_{rm CP}(D_{s}^{pm} rightarrow K_{S}^{0}K^{pm}) = (0.6pm2.8_{rm stat.}pm0.6_{rm syst.})%$ and $A_{rm CP}(D_{s}^{pm} rightarrow K_{L}^{0}K^{pm}) = (-1.1pm2.6_{rm stat.}pm0.6_{rm syst.})%$.
The three-body charmless hadronic decay $B^0_s rightarrow K^{0}_{rm S} pi^{+}pi^{-}$ provides a number of novel possibilities to search for CP violation effects and test the Standard Model of particle physics. These include fits to the Dalitz-plot distributions of the decay-time-integrated final state, decay-time-dependent (but without initial state flavour tagging) fits to the Dalitz-plot distribution, as well as full decay-time-dependent and flavour tagged fits. The relative sensitivities of these different approaches are investigated.
180 - R. Aaij , B. Adeva , M. Adinolfi 2014
Measurements of the effective lifetimes in the $B_{s}^{0} rightarrow K^{+}K^{-}$, $B^{0} rightarrow K^{+}pi^{-}$ and $B_{s}^{0} rightarrow pi^{+}K^{-}$ decays are presented using $1.0~mathrm{fb^{-1}}$ of $pp$ collision data collected at a centre-of-mass energy of 7 TeV by the LHCb experiment. The analysis uses a data-driven approach to correct for the decay time acceptance. The measured effective lifetimes are $tau_{B_{s}^{0} rightarrow K^{+}K^{-}}$ = $1.407~pm~0.016~pm~0.007~mathrm{ps}$, $tau_{B^{0} rightarrow K^{+}pi^{-}}$ = $1.524~pm~0.011~pm~0.004~mathrm{ps}$, $tau_{B_{s}^{0} rightarrow pi^{+}K^{-}}$ = $1.60~pm~0.06~pm~0.01~mathrm{ps}$. This is the most precise determination to date of the effective lifetime in the $B_{s}^{0} rightarrow K^{+}K^{-}$ decay and provides constraints on contributions from physics beyond the Standard Model to the $B_{s}^{0}$ mixing phase and the width difference $DeltaGamma_{s}$.
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