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Present status of our knowledge of |V_{cb}|

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 نشر من قبل Marina Artuso
 تاريخ النشر 2003
  مجال البحث
والبحث باللغة English
 تأليف Marina Artuso




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The Cabibbo-Kobayashi-Maskawa parameter $|V_{cb}|$ plays an important role among the experimental constraints of the Yukawa sector of the Standard Model. The present status of our knowledge will be summarized with particular emphasis to the interplay between theoretical and experimental advances needed to improve upon present uncertainties.



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We discuss the impact of the recent untagged analysis of ${B}^0rightarrow D^{*}lbar{ u}_l$ decays by the Belle Collaboration on the extraction of the CKM element $|V_{cb}|$ and provide updated SM predictions for the $bto ctau u$ observables $R(D^*)$, $P_tau$, and $F_L^{D^*}$. The value of $|V_{cb}|$ that we find is about $2sigma$ from the one from inclusive semileptonic $B$ decays, and is very sensitive to the slope of the form factor at zero recoil which should soon become available from lattice calculations.
We discuss the impact of the recent $mathcal{O}(alpha_s^3)$ calculations of the semileptonic width of the $b$ quark and of the relation between pole and kinetic heavy quark masses by Fael et al. on the inclusive determination of $|V_{cb}|$. The most notable effects are a small increase in the value $|V_{cb}|$ and a reduction of the uncertainty. Our final result is $|V_{cb}|=42.16(50), 10^{-3}$.
97 - Y.K. Hsiao , C.Q. Geng 2018
We perform the simultaneous $|V_{ub}|$ and $|V_{cb}|$ extractions with only the exclusive $Lambda_b$ decays of $Lambda_bto (p,Lambda_c^+)mubar u_mu$, $Lambda_bto ppi^-$ and $Lambda_bto Lambda_c^+ (pi^-, D^-)$. We obtain that $|V_{ub}|=(3.7pm 0.3)tim es 10^{-3}$ and $|V_{cb}|=(45.9pm 2.7)times 10^{-3}$. Our value of $|V_{ub}|$ is larger than that of $(3.27pm 0.15pm 0.16pm 0.06)times 10^{-3}$, previously extracted by the LHC Collaboration from the exclusive $Lambda_b$ decays also, but nearly identical to $(3.72pm 0.19)times 10^{-3}$ from the exclusive $B$ decays. On the other hand, our extracted result of $|V_{cb}|$ favors the value of $(42.2pm 0.8)times 10^{-3}$ from the inclusive $B$ decays.
A new framework of heavy quark effective field theory (HQEFT) is studied and compared with the usual heavy quark effective theory (HQET). $|V_{ub}|$, $|V_{cb}|$ and heavy meson decay constants are extracted in the new framework. HQEFT can yield reaso nable results for both exclusive and inclusive decays.
307 - W.Y. Wang , Y.L. Wu , Y.A. Yan 2003
The more precise extraction for the CKM matrix element |V_{cb}| in the heavy quark effective field theory (HQEFT) of QCD is studied from both exclusive and inclusive semileptonic B decays. The values of relevant nonperturbative parameters up to order 1/m^2_Q are estimated consistently in HQEFT of QCD. Using the most recent experimental data for B decay rates, |V_{cb}| is updated to be |V_{cb}| = 0.0395 pm 0.0011_{exp} pm 0.0019_{th} from Bto D^{ast} l u decay and |V_{cb}| = 0.0434 pm 0.0041_{exp} pm 0.0020_{th} from Bto D l u decay as well as |V_{cb}| = 0.0394 pm 0.0010_{exp} pm 0.0014_{th} from inclusive Bto X_c l u decay.
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