cern.ch

Measurement of forward $W\to e\nu$ production in $pp$ collisions at $\sqrt{s}=8$ TeV

[to restricted-access page]

Information

Tools

Abstract

A measurement of the cross-section for $W \to e\nu$ production in $pp$ collisions is presented using data corresponding to an integrated luminosity of $2 $fb$^{-1}$ collected by the LHCb experiment at a centre-of-mass energy of $\sqrt{s}=8 $TeV. The electrons are required to have more than $20 $GeV of transverse momentum and to lie between 2.00 and 4.25 in pseudorapidity. The inclusive $W$ production cross-sections, where the $W$ decays to $e\nu$, are measured to be \begin{equation*} \sigma_{W^{+} \to e^{+}\nu_{e}}=1124.4\pm 2.1\pm 21.5\pm 11.2\pm 13.0 \mathrm{pb}, \end{equation*} \begin{equation*} \sigma_{W^{-} \to e^{-}\bar{\nu}_{e}}= 809.0\pm 1.9\pm 18.1\pm 7.0\pm \phantom{0}9.4 \mathrm{pb}, \end{equation*} where the first uncertainties are statistical, the second are systematic, the third are due to the knowledge of the LHC beam energy and the fourth are due to the luminosity determination. Differential cross-sections as a function of the electron pseudorapidity are measured. The $W^{+}/W^{-}$ cross-section ratio and production charge asymmetry are also reported. Results are compared with theoretical predictions at next-to-next-to-leading order in perturbative quantum chromodynamics. Finally, in a precise test of lepton universality, the ratio of $W$ boson branching fractions is determined to be \begin{equation*} \mathcal{B}(W \to e\nu)/\mathcal{B}(W \to \mu\nu)=1.020\pm 0.002\pm 0.019, \end{equation*} where the first uncertainty is statistical and the second is systematic.

Figures and captions

The inclusive fit to the $p^e_{\rm T}$ distribution of the full dataset. The $\chi^2/\mathrm{ndf}$ of the fit is 1.1 with 33 degrees of freedom.

Fig1.pdf [52 KiB]
HiDef png [206 KiB]
Thumbnail [199 KiB]
*.C file
Fig1.pdf

The differential $ W ^+$ and $ W ^-$ cross-sections in bins of $\eta^{ e }$. Measurements, represented as bands, are compared to NNLO predictions with different parameterisations of the PDFs (markers are displaced horizontally for presentation). The bottom panel displays the theory predictions divided by the measured cross-sections.

Fig2.pdf [26 KiB]
HiDef png [346 KiB]
Thumbnail [242 KiB]
*.C file
Fig2.pdf

The $ W ^+$ to $ W ^-$ cross-section ratio in bins of $\eta^{ e }$. Measurements, represented as bands, are compared to NNLO predictions with different parameterisations of the PDFs (markers are displaced horizontally for presentation). The bottom panel displays the theory predictions divided by the measured cross-section ratios.

Fig3.pdf [21 KiB]
HiDef png [190 KiB]
Thumbnail [168 KiB]
*.C file
Fig3.pdf

The $ W $ boson production charge asymmetry in bins of $\eta^{ e }$. Measurements, represented as bands, are compared to NNLO predictions with different parameterisations of the PDFs (markers are displaced horizontally for presentation). The bottom panel displays the difference between theory predictions and the measured charge asymmetry.

Fig4.pdf [20 KiB]
HiDef png [197 KiB]
Thumbnail [176 KiB]
*.C file
Fig4.pdf

The differential $ W ^+$ and $ W ^-$ cross-sections in bins of $\eta^{l}$. The measurement using electrons, represented as bands, is compared to the measurement in the muon final state. The bottom panel displays the muon results divided by the measurements in the electron final state.

Fig5.pdf [18 KiB]
HiDef png [168 KiB]
Thumbnail [149 KiB]
*.C file
Fig5.pdf

The $ W ^+$ to $ W ^-$ cross-section ratio in bins of $\eta^{l}$. The measurement using electrons, represented as bands, is compared to the measurement in the muon final state. The bottom panel displays the muon results divided by the measurements in the electron final state.

Fig6.pdf [15 KiB]
HiDef png [108 KiB]
Thumbnail [101 KiB]
*.C file
Fig6.pdf

The $ W $ boson production charge asymmetry in bins of $\eta^{l}$. The measurement using electrons, represented as bands, is compared to the measurement in the muon final state. The bottom panel displays the difference between the muon and electron final states.

Fig7.pdf [15 KiB]
HiDef png [105 KiB]
Thumbnail [96 KiB]
*.C file
Fig7.pdf

The ratio of branching fractions for the electron and muon final states determined for $ W $ , $ W ^+$ , and $ W ^-$ is compared to hadron collider and LEP results. The theory expectation is represented by the red line.

Fig8.pdf [176 KiB]
HiDef png [168 KiB]
Thumbnail [167 KiB]
*.C file
Fig8.pdf

Fits to $p^e_{\rm T}$ for $ e ^-$ in bins of $\eta^{ e }$. Pulls are shown underneath.

Fig9a.pdf [49 KiB]
HiDef png [193 KiB]
Thumbnail [172 KiB]
*.C file
Fig9a.pdf
Fig9b.pdf [49 KiB]
HiDef png [198 KiB]
Thumbnail [175 KiB]
*.C file
Fig9b.pdf
Fig9c.pdf [21 KiB]
HiDef png [209 KiB]
Thumbnail [192 KiB]
*.C file
Fig9c.pdf
Fig9d.pdf [21 KiB]
HiDef png [205 KiB]
Thumbnail [190 KiB]
*.C file
Fig9d.pdf
Fig9e.pdf [21 KiB]
HiDef png [200 KiB]
Thumbnail [186 KiB]
*.C file
Fig9e.pdf
Fig9f.pdf [21 KiB]
HiDef png [201 KiB]
Thumbnail [186 KiB]
*.C file
Fig9f.pdf
Fig9g.pdf [21 KiB]
HiDef png [195 KiB]
Thumbnail [180 KiB]
*.C file
Fig9g.pdf
Fig9h.pdf [21 KiB]
HiDef png [194 KiB]
Thumbnail [179 KiB]
*.C file
Fig9h.pdf

Fits to $p^e_{\rm T}$ for $ e ^+$ in bins of $\eta^{ e }$. Pulls are shown underneath.

Fig10a.pdf [20 KiB]
HiDef png [192 KiB]
Thumbnail [174 KiB]
*.C file
Fig10a.pdf
Fig10b.pdf [20 KiB]
HiDef png [192 KiB]
Thumbnail [174 KiB]
*.C file
Fig10b.pdf
Fig10c.pdf [20 KiB]
HiDef png [193 KiB]
Thumbnail [176 KiB]
*.C file
Fig10c.pdf
Fig10d.pdf [21 KiB]
HiDef png [211 KiB]
Thumbnail [194 KiB]
*.C file
Fig10d.pdf
Fig10e.pdf [21 KiB]
HiDef png [205 KiB]
Thumbnail [190 KiB]
*.C file
Fig10e.pdf
Fig10f.pdf [21 KiB]
HiDef png [205 KiB]
Thumbnail [189 KiB]
*.C file
Fig10f.pdf
Fig10g.pdf [21 KiB]
HiDef png [196 KiB]
Thumbnail [182 KiB]
*.C file
Fig10g.pdf
Fig10h.pdf [21 KiB]
HiDef png [193 KiB]
Thumbnail [178 KiB]
*.C file
Fig10h.pdf

Animated gif made out of all figures.

PAPER-2016-024.gif
Thumbnail
thumbnail_PAPER-2016-024.gif

Tables and captions

Summary of the relative uncertainties on the $ W ^+ $ and $ W ^- $ boson cross-sections and on the cross-section ratio. Uncertainties marked with $^{\dagger}$ are assumed to be uncorrelated between bins; all others are taken to be correlated.

Table_1.pdf [63 KiB]
HiDef png [110 KiB]
Thumbnail [49 KiB]
tex code
Table_1.pdf

The Born level cross-section for $W^{+}$ boson production in bins of electron pseudorapidity. The first uncertainties are statistical, the second are systematic, the third are due to the knowledge of the LHC beam energy and the fourth are due to the luminosity measurement. The rightmost column gives values of the additional factor, $f^{\textup{FSR}}$, by which the results should be multiplied in order to give the cross-sections after FSR.

Table_2.pdf [64 KiB]
HiDef png [110 KiB]
Thumbnail [59 KiB]
tex code
Table_2.pdf

The Born level cross-section for $W^{-}$ boson production in bins of electron pseudorapidity. The first uncertainties are statistical, the second are systematic, the third are due to the knowledge of the LHC beam energy and the fourth are due to the luminosity measurement. The rightmost column gives values of the additional factor, $f^{\textup{FSR}}$, by which the results should be multiplied in order to give the cross-sections after FSR.

Table_3.pdf [64 KiB]
HiDef png [112 KiB]
Thumbnail [59 KiB]
tex code
Table_3.pdf

The $W^{+}$ to $W^{-}$ cross-section ratio in bins of electron pseudorapidity. The first uncertainties are statistical, the second are systematic and the third are due to the knowledge of the LHC beam energy.

Table_4.pdf [41 KiB]
HiDef png [141 KiB]
Thumbnail [70 KiB]
tex code
Table_4.pdf

The $ W $ boson production charge asymmetry in bins of electron pseudorapidity. The first uncertainties are statistical, the second are systematic and the third are due to the knowledge of the LHC beam energy.

Table_5.pdf [34 KiB]
HiDef png [142 KiB]
Thumbnail [44 KiB]
tex code
Table_5.pdf

Correlation coefficients of the systematic uncertainties for the differential $W^{+}$ cross-section measurement between bins of $\eta^{e}$.

Table_6.pdf [13 KiB]
HiDef png [58 KiB]
Thumbnail [27 KiB]
tex code
Table_6.pdf

Correlation coefficients of the systematic uncertainties for the differential $W^{-}$ cross-section measurement between bins of $\eta^{e}$.

Table_7.pdf [13 KiB]
HiDef png [58 KiB]
Thumbnail [27 KiB]
tex code
Table_7.pdf

Correlation coefficients of the systematic uncertainties for the differential $W^{+}$ and $W^{-}$ cross-section measurements between bins of $\eta^{e}$. The horizontal bin indices label bins of $\eta^{e}$ for electrons while vertical indices label bins for positrons.

Table_8.pdf [13 KiB]
HiDef png [92 KiB]
Thumbnail [43 KiB]
tex code
Table_8.pdf

Supplementary Material [file]

This ZIP file contains supplemetary material for the publication LHCb-PAPER-2016-024. The files are: supplementary.pdf : An overview of the extra tables chis.tex : Fit qualities signalFractions.tex : Signal fractions in bins of lepton pseudorapidity

supple[..].pdf [86 KiB]
HiDef png [119 KiB]
Thumbnail [48 KiB]
*C file
supplementary-app.pdf

Created on 27 April 2024.