The \(B \rightarrow {{D}^{(*)}} {l}{\nu _l}\) decays in the pQCD approach wit

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• 作者：Ying-Ying Fan ; Zhen-Jun Xiao ; Ru-Min Wang ; Bing-Zhong Li
• 关键词：-$R(D^{(*)})$$ R ( D ( ? ) ; puzzle-/li> $$B\rightarrow D^{(*)} l\nu _l$$ B →D ( ? l ν l decays ; The pQCD approach ; Lattice QCD
• 刊名：Chinese Science Bulletin
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：60
• 期：23
• 页码：2009-2015
• 全文大小：1,186 KB
• 参考文献：1.Aubert B, Bona M, Boutigny D et al (2008) Observation of semileptonic decays \(B \rightarrow D^* \tau ^- \bar{\nu }_{\tau }\) and evidence for \(B\rightarrow D \tau ^-\bar{\nu }_{\tau }\) . Phys Rev Lett 100:021801CrossRef
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  4.Lees JP, Poireau V, Tisserand V et al (2012) Evidence for an excess of \(\bar{B} \rightarrow D^{(*)} \tau \bar{\nu }_{\tau }\) decays. Phys Rev Lett 109:101802CrossRef
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  6.Huschle M, Kuhr T, Heck M et al (2015) Measurement of the branching ratio of \(\bar{B} \rightarrow D^{(*)} \tau ^- \bar{\nu }_\tau \) relative to \(\bar{B} \rightarrow D^{(*)} l^- \bar{\nu }_l\) decays with hadronic tagging at Belle. Phys Rev D 92:072014CrossRef
  7.Huschle M (2015) Measurement of the branching ratio of \(\bar{B} \rightarrow D^{(*)} \tau \nu _\tau \) relative to \(\bar{B} \rightarrow D^{(*)} l \nu _l \) decays with hadronic tagging at Belle. Dissertation, IEKP-KA/2015-3
  8.Aaij R, Adeva B, Adinolfi M et al (2015) Measurement of the ratio of branching fractions \(B(\bar{B} \rightarrow D^{*} \tau \nu _\tau )/B(\bar{B} \rightarrow D^* \mu ^-\bar{\nu }_\mu )\) . Phys Rev Lett 115:111803; 115:159901 (E)
  9.Heavy Flavor Averaging Group (2015) Averages of b-hadron, c-hadron, and \(\tau \) -lepton properties as of summer 2014. arXiv:-412.-515 [hep-ex]. For the update of the averages of \(R(D^{(*)})\) see the web page: http://?www.?slac.?stanford.?edu/?xorg/?hfag/?semi/?index.?html
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• 作者单位：Ying-Ying Fan (1)
  Zhen-Jun Xiao (2)
  Ru-Min Wang (1)
  Bing-Zhong Li (1)
  
  1. College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang, 464000, China
  2. Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, 210023, China
  
• 刊物主题：Science, general; Life Sciences, general; Physics, general; Chemistry/Food Science, general; Earth Sciences, general; Engineering, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：1861-9541

文摘

In this paper, we studied the semileptonic decays \(B \rightarrow D^{(*)} l^- \bar{\nu }_l\) by using the “pQCD + Lattice QCD-method. We made the extrapolation for the six relevant form factors by using the input values obtained from the pQCD factorization approach in the low q 2 region of \(0\le q^2 \le m_\tau ^2\) and the lattice QCD input at the endpoint \(q^2=q^2_{\mathrm{max}}\). We then calculated the ratios R(D) and \(R(D^*)\) of the branching ratios \({\mathcal{B}}(B \rightarrow D^{(*)} l^- {\bar{\nu }}_l)\) and found numerically that (1) the “pQCD + Lattice QCD-predictions for the branching ratios \({\mathcal{B}}(B \rightarrow D^{(*)} l^-{\bar{\nu}}_l)\) agree well with the measured values within one standard deviation; and (2) the “pQCD + Lattice QCD-predictions for the ratios \(R(D^{(*)})\) are \( R(D)=0.337^{+0.038}_{-0.037}\) and \( R(D^*)=0.269^{+0.021}_{-0.020}\); they agree with the data within \(2\sigma \) deviation, in other words, one can explain the -span class="InlineEquation" id="IEq14">\(R(D^{(*)})\)-puzzle-in the framework of the Standard Model. Keywords -span class="InlineEquation" id="IEq15">\(R(D^{(*)})\)-puzzle-/span> \(B\rightarrow D^{(*)} l\nu _l\) decays The pQCD approach Lattice QCD