Study of the production of $\Lambda_b^0$ and $\overline{B}^0$ hadrons in $pp$ collisions and first measurement of the $\Lambda_b^0\rightarrow J/\psi pK^-$ branching fraction

Information

LHCb-PAPER-2015-032
CERN-PH-EP-2015-223
arXiv:1509.00292 [PDF]

(Submitted on 01 Sep 2015)
Chin. Phys. C 40 (2016) 011001
Inspire 1391317

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Abstract

The product of the $\Lambda_b^0$ ($\overline{B}^0$) differential production cross-section and the branching fraction of the decay $\Lambda_b^0\rightarrow J/\psi pK^-$ ($\overline{B}^0\rightarrow J/\psi\overline{K}^*(892)^0$) is measured as a function of the beauty hadron transverse momentum, $p_{\rm T}$, and rapidity, $y$. The kinematic region of the measurements is $p_{\rm T}<20 {\rm GeV}/c$ and $2.0<y<4.5$. The measurements use a data sample corresponding to an integrated luminosity of $3 {\rm fb}^{-1}$ collected by the LHCb detector in $pp$ collisions at centre-of-mass energies $\sqrt{s}=7 {\rm TeV}$ in 2011 and $\sqrt{s}=8 {\rm TeV}$ in 2012. Based on previous LHCb results of the fragmentation fraction ratio, $f_{\Lambda_B^0}/f_d$, the branching fraction of the decay $\Lambda_b^0\rightarrow J/\psi pK^-$ is measured to be \begin{equation*} \mathcal{B}(\Lambda_b^0\rightarrow J/\psi pK^-)= (3.17\pm0.04\pm0.07\pm0.34^{+0.45}_{-0.28})\times10^{-4}, \end{equation*} where the first uncertainty is statistical, the second is systematic, the third is due to the uncertainty on the branching fraction of the decay $\overline{B}^0\rightarrow J/\psi\overline{K}^*(892)^0$, and the fourth is due to the knowledge of $f_{\Lambda_b^0}/f_d$. The sum of the asymmetries in the production and decay between $\Lambda_b^0$ and $\overline{\Lambda}_b^0$ is also measured as a function of $p_{\rm T}$ and $y$. The previously published branching fraction of $\Lambda_b^0\rightarrow J/\psi p\pi^-$, relative to that of $\Lambda_b^0\rightarrow J/\psi pK^-$, is updated. The branching fractions of $\Lambda_b^0\rightarrow P_c^+(\rightarrow J/\psi p)K^-$ are determined.

Figures and captions

Fit to the (left) $ { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} p K ^- $ and (right) $ { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \overline{ K }{} {}^{0} $ invariant mass distributions with $ p_{\rm T} \in[6,7] {\mathrm{ Ge V /}c} $ and $y\in[3.0,3.5]$ for the 2012 data sample. The hatched (red) area represents the signals, the filled (green) area $ B ^0_ s \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \overline{ K }{} {}^{0} $, and the dashed (magenta) lines the combinatorial background. The dot-dashed (black) lines indicate the doubly misidentified background (left) and partially reconstructed background (right). The solid (blue) lines represent the sum of the above components and the points with error bars show the data.	Lb.pdf [21 KiB] HiDef png [457 KiB] Thumbnail [328 KiB] *.C file
Products of production cross-sections and branching fractions as functions of $p_{\rm T}$ in $y$ bins for (left) $\Lambda ^0_ b \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} p K ^- $ and (right) $\overline{ B }{} {}^0 \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \overline{ K }{} {}^{*0} $ . The top (bottom) plots represent the 2011 (2012) sample. The error bars represent the total uncertainties.	x.pdf [16 KiB] HiDef png [184 KiB] Thumbnail [177 KiB] *.C file
	x.pdf [16 KiB] HiDef png [194 KiB] Thumbnail [185 KiB] *.C file
Products of production cross-sections and branching fractions as functions of (top) $p_{\rm T}$ or (bottom) $ y$ . The left (right) plots represent $\Lambda ^0_ b $ ( $\overline{ B }{} {}^0$ ) hadrons. The error bars indicate the statistical uncertainties and the hatched areas represent the total uncertainties.	Lb_pt.pdf [16 KiB] HiDef png [161 KiB] Thumbnail [131 KiB] *.C file
	B0_pt.pdf [16 KiB] HiDef png [143 KiB] Thumbnail [121 KiB] *.C file
	Lb_y.pdf [16 KiB] HiDef png [313 KiB] Thumbnail [215 KiB] *.C file
	B0_y.pdf [16 KiB] HiDef png [232 KiB] Thumbnail [178 KiB] *.C file
Fit to the $\Lambda ^0_ b $ distribution with the Tsallis function.	Lb_pt_gr.pdf [18 KiB] HiDef png [226 KiB] Thumbnail [167 KiB] *.C file
Production ratios of (left) $\Lambda ^0_ b $ and (right) $\overline{ B }{} {}^0 $ at $8\mathrm{ Te V} $ and $7\mathrm{ Te V} $ as functions of the (top) $ p_{\rm T} $ and (bottom) $y$ of the $b$ hadron. The blue lines are FONLL predictions. The error bars represent uncorrelated uncertainties, while the hatched areas show the total uncertainties. Linear fits are also shown.	ratio_[..].pdf [17 KiB] HiDef png [275 KiB] Thumbnail [193 KiB] *.C file
	ratio_[..].pdf [17 KiB] HiDef png [253 KiB] Thumbnail [184 KiB] *.C file
	ratio_y_Lb.pdf [16 KiB] HiDef png [276 KiB] Thumbnail [192 KiB] *.C file
	ratio_y_B0.pdf [16 KiB] HiDef png [234 KiB] Thumbnail [172 KiB] *.C file
Ratio $ R_{\Lambda ^0_ b /\overline{ B }{} {}^0 } $ as a function of (left) $ p_{\rm T} $ and (right) $y$ for the 2011 and 2012 samples, where the error bars indicate statistical uncertainties and the hatched areas the total uncertainties. The red solid (blue dashed) line in the left plot represents the fit to the ratio $ f_{\Lambda ^0_ b }/f_d ( p_{\rm T} )$ from Ref. [8] for the 2011 (2012) data sample.	pt.pdf [19 KiB] HiDef png [265 KiB] Thumbnail [178 KiB] *.C file
	y.pdf [16 KiB] HiDef png [248 KiB] Thumbnail [163 KiB] *.C file
Asymmetries $ a_{\rm p+d}$ between $\Lambda ^0_ b $ and $\overline{\Lambda} {}^0_ b $ as functions of (left) $ p_{\rm T} $ and (right) $y$. The error bars indicate statistical uncertainties, and the hatched areas the total uncertainties.	apt.pdf [19 KiB] HiDef png [443 KiB] Thumbnail [256 KiB] *.C file
	ay.pdf [17 KiB] HiDef png [362 KiB] Thumbnail [215 KiB] *.C file
Animated gif made out of all figures.	PAPER-2015-032.gif Thumbnail

Tables and captions

Summary of the systematic uncertainties (%) for the production cross-sections of $\Lambda ^0_ b $ and $\overline{ B }{} {}^0 $. The large uncertainties affect the bins with very few candidates.	Table_1.pdf [68 KiB] HiDef png [97 KiB] Thumbnail [42 KiB] tex code
Summary of the absolute systematic uncertainties (%) for the asymmetry of $\Lambda ^0_ b $ and $\overline{\Lambda} {}^0_ b $. The large uncertainties affect the bins with very few candidates.	Table_2.pdf [32 KiB] HiDef png [60 KiB] Thumbnail [28 KiB] tex code
Products of $\Lambda ^0_ b $ production cross-sections ( $\rm pb$ ) and the branching fraction $\cal B (\Lambda ^0_ b \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} p K ^- )$ in bins of $ p_{\rm T} $ and $y$ in the 2011 data sample. The first uncertainties are statistical and the second are systematic.	Table_3.pdf [35 KiB] HiDef png [164 KiB] Thumbnail [93 KiB] tex code
Products of $\Lambda ^0_ b $ production cross-sections ( $\rm pb$ ) and the branching fraction $\cal B (\Lambda ^0_ b \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} p K ^- )$ in bins of $p_{\rm T}$ and $ y$ in the 2012 data sample. The first uncertainties are statistical and the second are systematic.	Table_4.pdf [35 KiB] HiDef png [196 KiB] Thumbnail [104 KiB] tex code
Products of $\overline{ B }{} {}^0 $ production cross-sections ( $\rm pb$ ) and $\cal B (\overline{ B }{} {}^0 \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \overline{ K }{} {}^{*0} )$ in bins of $ p_{\rm T} $ and $y$ in the 2011 data sample. The first uncertainties are statistical and the second are systematic.	Table_5.pdf [35 KiB] HiDef png [189 KiB] Thumbnail [92 KiB] tex code
Products of $\overline{ B }{} {}^0 $ production cross-sections ($\rm pb $) and $\cal B (\overline{ B }{} {}^0 \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \overline{ K }{} {}^{*0} )$ in bins of $ p_{\rm T} $ and $y$ in the 2012 data sample. The first uncertainties are statistical and the second are systematic.	Table_6.pdf [35 KiB] HiDef png [229 KiB] Thumbnail [112 KiB] tex code
Asymmetries $ a_{\rm p+d}$ $(\%)$ of $\Lambda ^0_ b $ and $\overline{\Lambda} {}^0_ b $ in bins of $ p_{\rm T} $ and $y$ for the 2011 and 2012 samples. The first uncertainties are statistical and the second are systematic.	Table_7.pdf [35 KiB] HiDef png [158 KiB] Thumbnail [82 KiB] tex code