The polarization of the $\Upsilon(1S)$, $\Upsilon(2S)$ and $\Upsilon(3S) $mesons, produced in $pp$ collisions at centre-of-mass energies $\sqrt{s}$=7 and 8TeV, is measured using data samples collected by the LHCb experiment, corresponding to integrated luminosities of 1 and 2fb$^{-1}$, respectively. The measurements are performed in three polarization frames, using $\Upsilon\to\mu^+\mu^-$ decays in the kinematic region of the transverse momentum $p_{T}(\Upsilon)<30GeV/c$, and rapidity $2.2<y(\Upsilon)<4.5$. No large polarization is observed.
(a) Distributions of $\cos\theta_{\mathrm{GJ}}$ for $\Upsilon(1\mathrm{S})$ (red circles), $\Upsilon(2\mathrm{S})$ (blue squares) and $\Upsilon(3\mathrm{S})$ (green diamonds) signal candidates and the background component (histogram) in the region $6< p^{\Upsilon}_{\mathrm{T}} <8 {\mathrm{\,GeV\!/}c} $, $2.2< y^{\Upsilon} <3.0$ for data accumulated at $\sqrt{s}=7\,\mathrm{TeV}$. To improve visibility, the distributions for the $\Upsilon(1\mathrm{S})$ and $\Upsilon(2\mathrm{S})$ signals are scaled by factors of 3 and 2, respectively. (b) Dimuon mass distribution in the region $6< p^{\Upsilon}_{\mathrm{T}} <8 {\mathrm{\,GeV\!/}c} $, $2.2< y^{\Upsilon} <3.0$ for data accumulated at $\sqrt{s}=7\,\mathrm{TeV}$. The thick dark yellow solid curve shows the result of the fit, as described in the text. The three peaks, shown with thin red solid lines, correspond to the $\Upsilon(1\mathrm{S})$ , $\Upsilon(2\mathrm{S})$ and $\Upsilon(3\mathrm{S})$ signals\,(left to right). The background component is indicated with a dashed blue line. |
Fig_1.pdf [170 KiB] HiDef png [233 KiB] Thumbnail [67 KiB] *.C file tex code |
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Background-subtracted distributions of (a) $\cos\theta$ and (b) $\phi$ for the $\Upsilon(1\mathrm{S})$ signal candidates in the HX frame, measured in the kinematic region $6< p^{\Upsilon}_{\mathrm{T}} <8 {\mathrm{\,GeV\!/}c} $ and $2.2< y^{\Upsilon} <3.0$, for data accumulated at $\sqrt{s}=7\,\mathrm{TeV}$. |
Fig_2.pdf [112 KiB] HiDef png [124 KiB] Thumbnail [48 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, measured in the HX frame for the $\Upsilon(1\mathrm{S})$ state in different bins of $ p^{\Upsilon}_{\mathrm{T}}$ and three rapidity ranges, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the rapidity ranges $2.2< y^{\Upsilon} <3.0$, $3.0< y^{\Upsilon} <3.5$ and $3.5< y^{\Upsilon} <4.5$ are shown with red circles, blue squares and green diamonds, respectively. The vertical inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. The horizontal error bars indicate the bin width. Some data points are displaced from the bin centers to improve visibility. |
Fig_3.pdf [125 KiB] HiDef png [472 KiB] Thumbnail [155 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, measured in the CS frame for the $\Upsilon(1\mathrm{S})$ state in different bins of $ p^{\Upsilon}_{\mathrm{T}}$ and three rapidity ranges, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the rapidity ranges $2.2< y^{\Upsilon} <3.0$, $3.0< y^{\Upsilon} <3.5$ and $3.5< y^{\Upsilon} <4.5$ are shown with red circles, blue squares and green diamonds, respectively. The vertical inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. The horizontal error bars indicate the bin width. Some data points are displaced from the bin centers to improve visibility. |
Fig_4.pdf [124 KiB] HiDef png [443 KiB] Thumbnail [150 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, measured in the GJ frame for the $\Upsilon(1\mathrm{S})$ state in different bins of $ p^{\Upsilon}_{\mathrm{T}}$ and three rapidity ranges, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the rapidity ranges $2.2< y^{\Upsilon} <3.0$, $3.0< y^{\Upsilon} <3.5$ and $3.5< y^{\Upsilon} <4.5$ are shown with red circles, blue squares and green diamonds, respectively. The vertical inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. The horizontal error bars indicate the bin width. Some data points are displaced from the bin centers to improve visibility. |
Fig_5.pdf [125 KiB] HiDef png [459 KiB] Thumbnail [153 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, measured in the HX frame for the $\Upsilon(2\mathrm{S})$ state in different bins of $ p^{\Upsilon}_{\mathrm{T}}$ and three rapidity ranges, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the rapidity ranges $2.2< y^{\Upsilon} <3.0$, $3.0< y^{\Upsilon} <3.5$ and $3.5< y^{\Upsilon} <4.5$ are shown with red circles, blue squares and green diamonds, respectively. The vertical inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. The horizontal error bars indicate the bin width. Some data points are displaced from the bin centers to improve visibility. |
Fig_6.pdf [124 KiB] HiDef png [466 KiB] Thumbnail [149 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, measured in the CS frame for the $\Upsilon(2\mathrm{S})$ state in different bins of $ p^{\Upsilon}_{\mathrm{T}}$ and three rapidity ranges, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the rapidity ranges $2.2< y^{\Upsilon} <3.0$, $3.0< y^{\Upsilon} <3.5$ and $3.5< y^{\Upsilon} <4.5$ are shown with red circles, blue squares and green diamonds, respectively. The vertical inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. The horizontal error bars indicate the bin width. Some data points are displaced from the bin centers to improve visibility. |
Fig_7.pdf [123 KiB] HiDef png [440 KiB] Thumbnail [142 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, measured in the GJ frame for the $\Upsilon(2\mathrm{S})$ state in different bins of $ p^{\Upsilon}_{\mathrm{T}}$ and three rapidity ranges, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the rapidity ranges $2.2< y^{\Upsilon} <3.0$, $3.0< y^{\Upsilon} <3.5$ and $3.5< y^{\Upsilon} <4.5$ are shown with red circles, blue squares and green diamonds, respectively. The vertical inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. The horizontal error bars indicate the bin width. Some data points are displaced from the bin centers to improve visibility. |
Fig_8.pdf [124 KiB] HiDef png [453 KiB] Thumbnail [144 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, measured in the HX frame for the $\Upsilon(3\mathrm{S})$ state in different bins of $ p^{\Upsilon}_{\mathrm{T}}$ and three rapidity ranges, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the rapidity ranges $2.2< y^{\Upsilon} <3.0$, $3.0< y^{\Upsilon} <3.5$ and $3.5< y^{\Upsilon} <4.5$ are shown with red circles, blue squares and green diamonds, respectively. The vertical inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. The horizontal error bars indicate the bin width. Some data points are displaced from the bin centers to improve visibility. |
Fig_9.pdf [125 KiB] HiDef png [491 KiB] Thumbnail [159 KiB] *.C file tex code |
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The polarization parameters $\uplambda_{\theta}$ (top), $\uplambda_{\theta\phi}$ (middle) and $\uplambda_{\phi}$ (bottom), measured in the CS frame for the $\Upsilon(3\mathrm{S})$ state in different bins of $ p^{\Upsilon}_{\mathrm{T}}$ and three rapidity ranges, for data collected at $\sqrt{s} =7\,\mathrm{TeV}$\,(left) and $\sqrt{s} =8\,\mathrm{TeV}$\,(right). The results for the rapidity ranges $2.2< y^{\Upsilon} <3.0$, $3.0< y^{\Upsilon} <3.5$ and $3.5< y^{\Upsilon} <4.5$ are shown with red circles, blue squares and green diamonds, respectively. The vertical inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. The horizontal error bars indicate the bin width. Some data points are displaced from the bin centers to improve visibility. |
Fig_10.pdf [124 KiB] HiDef png [456 KiB] Thumbnail [148 KiB] *.C file tex code |
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The polarization parameters $\uplambda_{\theta}$ (top), $\uplambda_{\theta\phi}$ (middle) and $\uplambda_{\phi}$ (bottom), measured in the GJ frame for the $\Upsilon(3\mathrm{S})$ state in different bins of $ p^{\Upsilon}_{\mathrm{T}}$ and three rapidity ranges, for data collected at $\sqrt{s} =7\,\mathrm{TeV}$\,(left) and $\sqrt{s} =8\,\mathrm{TeV}$\,(right). The results for the rapidity ranges $2.2< y^{\Upsilon} <3.0$, $3.0< y^{\Upsilon} <3.5$ and $3.5< y^{\Upsilon} <4.5$ are shown with red circles, blue squares and green diamonds, respectively. The vertical inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. The horizontal error bars indicate the bin width. Some data points are displaced from the bin centers to improve visibility. |
Fig_11.pdf [125 KiB] HiDef png [478 KiB] Thumbnail [153 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, for $\Upsilon(1\mathrm{S})$ mesons as a function of $ p^{\Upsilon}_{\mathrm{T}}$ , for the rapidity range $2.2< y^{\Upsilon} <4.5$, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the HX, CS and GJ frames are shown with red circles, blue squares and green diamonds, respectively. The inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. Some data points are displaced from the bin centers to improve visibility. |
Fig_12.pdf [118 KiB] HiDef png [493 KiB] Thumbnail [156 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, for $\Upsilon(2\mathrm{S})$ mesons as a function of $ p^{\Upsilon}_{\mathrm{T}}$ , for the rapidity range $2.2< y^{\Upsilon} <4.5$, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the HX, CS and GJ frames are shown with red circles, blue squares and green diamonds, respectively. The inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. Some data points are displaced from the bin centers to improve visibility. |
Fig_13.pdf [116 KiB] HiDef png [451 KiB] Thumbnail [138 KiB] *.C file tex code |
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The polarization parameters (top) $\uplambda_{\theta}$, (middle) $\uplambda_{\theta\phi}$ and (bottom) $\uplambda_{\phi}$, for $\Upsilon(3\mathrm{S})$ mesons as a function of $ p^{\Upsilon}_{\mathrm{T}}$ , for the rapidity range $2.2< y^{\Upsilon} <4.5$, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the HX, CS and GJ frames are shown with red circles, blue squares and green diamonds, respectively. The inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. Some data points are displaced from the bin centers to improve visibility. |
Fig_14.pdf [117 KiB] HiDef png [445 KiB] Thumbnail [137 KiB] *.C file tex code |
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The polarization parameter $\tilde\uplambda$ for (top) $\Upsilon(1\mathrm{S})$ mesons, (middle) $\Upsilon(2\mathrm{S})$ mesons and (bottom) $\Upsilon(3\mathrm{S})$ mesons as a function of $ p^{\Upsilon}_{\mathrm{T}}$ , for the rapidity range $2.2< y^{\Upsilon} <4.5$, for data collected at (left) $\sqrt{s} =7\,\mathrm{TeV}$ and (right)\, $\sqrt{s} =8\,\mathrm{TeV}$. The results for the HX, CS and GJ frames are shown with red circles, blue squares and green diamonds, respectively. The inner error bars indicate the statistical uncertainty, whilst the outer error bars indicate the sum of the statistical and systematic uncertainties added in quadrature. Some data points are displaced from the bin centers to improve visibility. |
Fig_15.pdf [111 KiB] HiDef png [424 KiB] Thumbnail [121 KiB] *.C file tex code |
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Animated gif made out of all figures. |
PAPER-2017-028.gif Thumbnail |
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Ranges of the absolute systematic uncertainties of the parameters $\pmb{\uplambda}$ and $\tilde{\uplambda}$. The ranges indicate variations depending on the $\left( p^{\Upsilon}_{\mathrm{T}} , y^{\Upsilon} \right)$ bin and frame. |
Table_1.pdf [86 KiB] HiDef png [182 KiB] Thumbnail [28 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the HX frame for the $\Upsilon(1\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_2.pdf [44 KiB] HiDef png [346 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the HX frame for the $\Upsilon(1\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_3.pdf [43 KiB] HiDef png [343 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the CS frame for the $\Upsilon(1\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_4.pdf [44 KiB] HiDef png [347 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the CS frame for the $\Upsilon(1\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_5.pdf [43 KiB] HiDef png [345 KiB] Thumbnail [53 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the GJ frame for the $\Upsilon(1\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_6.pdf [44 KiB] HiDef png [344 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the GJ frame for the $\Upsilon(1\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_7.pdf [44 KiB] HiDef png [343 KiB] Thumbnail [53 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$ and $\uplambda_{\phi}$ measured in the HX, CS and GJ frames for the $\Upsilon(1\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$ in the rapidity range $2.2< y^{\Upsilon} <4.5$. The first uncertainty is statistical and the second systematic. |
Table_8.pdf [44 KiB] HiDef png [287 KiB] Thumbnail [44 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$ and $\uplambda_{\phi}$ measured in the HX, CS and GJ frames for the $\Upsilon(1\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$ in the rapidity range $2.2< y^{\Upsilon} <4.5$. The first uncertainty is statistical and the second systematic. |
Table_9.pdf [44 KiB] HiDef png [287 KiB] Thumbnail [44 KiB] tex code |
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Values of $\tilde \uplambda$ measured in the HX, CS and GJ frames for the $\Upsilon(1\mathrm{S})$ produced at $\sqrt{s}=7$ and $8\,\,{\mathrm{TeV}}$ in the rapidity range $2.2< y^{\Upsilon} <4.5$. The first uncertainty is statistical and the second systematic. |
Table_10.pdf [37 KiB] HiDef png [247 KiB] Thumbnail [39 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the HX frame for the $\Upsilon(2\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_11.pdf [44 KiB] HiDef png [341 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the HX frame for the $\Upsilon(2\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_12.pdf [44 KiB] HiDef png [345 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the CS frame for the $\Upsilon(2\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_13.pdf [44 KiB] HiDef png [343 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the CS frame for the $\Upsilon(2\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_14.pdf [44 KiB] HiDef png [343 KiB] Thumbnail [53 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the GJ frame for the $\Upsilon(2\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_15.pdf [44 KiB] HiDef png [342 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the GJ frame for the $\Upsilon(2\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_16.pdf [44 KiB] HiDef png [344 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$ and $\uplambda_{\phi}$ measured in the HX, CS and GJ frames for the $\Upsilon(2\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$ in the rapidity range $2.2< y^{\Upsilon} <4.5$. The first uncertainty is statistical and the second systematic. |
Table_17.pdf [44 KiB] HiDef png [285 KiB] Thumbnail [44 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$ and $\uplambda_{\phi}$ measured in the HX, CS and GJ frames for the $\Upsilon(2\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$ in the rapidity range $2.2< y^{\Upsilon} <4.5$. The first uncertainty is statistical and the second systematic. |
Table_18.pdf [44 KiB] HiDef png [287 KiB] Thumbnail [44 KiB] tex code |
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Values of $\tilde \uplambda$ measured in the HX, CS and GJ frames for the $\Upsilon(2\mathrm{S})$ produced at $\sqrt{s}=7$ and $8\,\,{\mathrm{TeV}}$ in the rapidity range $2.2< y^{\Upsilon} <4.5$. The first uncertainty is statistical and the second systematic. |
Table_19.pdf [37 KiB] HiDef png [251 KiB] Thumbnail [39 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the HX frame for the $\Upsilon(3\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_20.pdf [44 KiB] HiDef png [341 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the HX frame for the $\Upsilon(3\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_21.pdf [44 KiB] HiDef png [343 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the CS frame for the $\Upsilon(3\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_22.pdf [44 KiB] HiDef png [339 KiB] Thumbnail [53 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the CS frame for the $\Upsilon(3\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_23.pdf [44 KiB] HiDef png [340 KiB] Thumbnail [53 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the GJ frame for the $\Upsilon(3\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_24.pdf [44 KiB] HiDef png [338 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$, $\uplambda_{\phi}$ and $\tilde \uplambda$ measured in the GJ frame for the $\Upsilon(3\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$. The first uncertainty is statistical and the second systematic. |
Table_25.pdf [44 KiB] HiDef png [339 KiB] Thumbnail [54 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$ and $\uplambda_{\phi}$ measured in the HX, CS and GJ frames for the $\Upsilon(3\mathrm{S})$ produced at $\sqrt{s}=7\,\,{\mathrm{TeV}}$ in the rapidity range $2.2< y^{\Upsilon} <4.5$. The first uncertainty is statistical and the second systematic. |
Table_26.pdf [44 KiB] HiDef png [288 KiB] Thumbnail [44 KiB] tex code |
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Values of $\uplambda_{\theta}$, $\uplambda_{\theta\phi}$ and $\uplambda_{\phi}$ measured in the HX, CS and GJ frames for the $\Upsilon(3\mathrm{S})$ produced at $\sqrt{s}=8\,\,{\mathrm{TeV}}$ in the rapidity range $2.2< y^{\Upsilon} <4.5$. The first uncertainty is statistical and the second systematic. |
Table_27.pdf [44 KiB] HiDef png [282 KiB] Thumbnail [44 KiB] tex code |
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Values of $\tilde \uplambda$ measured in the HX, CS and GJ frames for the $\Upsilon(3\mathrm{S})$ produced at $\sqrt{s}=7$ and $8\,\,{\mathrm{TeV}}$ in the rapidity range $2.2< y^{\Upsilon} <4.5$. The first uncertainty is statistical and the second systematic. |
Table_28.pdf [38 KiB] HiDef png [247 KiB] Thumbnail [39 KiB] tex code |
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Created on 23 February 2019.Citation count from INSPIRE on 23 February 2019.