Measurement of the polarizations of prompt and non-prompt Image 1 and <math altimg="si1.svg"><mi mathvariant="normal">ψ</mi><mrow><mo stretchy="false">(</mo><mn mathvariant="normal">2S</mn><mo stretchy="false">)</mo></mrow></math> mesons produced in pp collisions at <math altimg="si2.svg"><msqrt><mrow><mi>s</mi></mrow></msqrt><mo linebreak="goodbreak" linebreakstyle="after">=</mo><mn>13</mn><mspace width="0.2em"/><mtext>TeV</mtext></math>

Benecke, Anna;Bethani, Agni;Bruno, Giacomo;Caputo, Claudio;CMS;et.al.
(2024) Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics — Vol. 858 (2024)

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Abstract
The polarizations of prompt and non-prompt Image 2 and <math altimg="si1.svg"><mi mathvariant="normal">ψ</mi><mrow><mo stretchy="false">(</mo><mn mathvariant="normal">2S</mn><mo stretchy="false">)</mo></mrow></math> mesons are measured in proton-proton collisions at <math altimg="si3.svg"><msqrt><mrow><mi>s</mi></mrow></msqrt><mo linebreak="goodbreak" linebreakstyle="after">=</mo><mn>13</mn></math> TeV, using data samples collected by the CMS experiment in 2017 and 2018, corresponding to a total integrated luminosity of 103.3<math altimg="si4.svg"><mspace width="0.2em"/><msup><mrow><mtext>fb</mtext></mrow><mrow><mo linebreak="badbreak" linebreakstyle="after">−</mo><mn>1</mn></mrow></msup></math>. Based on the analysis of the dimuon decay angular distributions in the helicity frame, the polar anisotropy, <math altimg="si5.svg"><msub><mrow><mi>λ</mi></mrow><mrow><mi>ϑ</mi></mrow></msub></math>, is measured as a function of the transverse momentum, <math altimg="si6.svg"><msub><mrow><mi>p</mi></mrow><mrow><mi mathvariant="normal">T</mi></mrow></msub></math>, of the charmonium states, in the 25–120 and 20–100 GeV ranges for the Image 2 and <math altimg="si1.svg"><mi mathvariant="normal">ψ</mi><mrow><mo stretchy="false">(</mo><mn mathvariant="normal">2S</mn><mo stretchy="false">)</mo></mrow></math>, respectively. The non-prompt polarizations agree with predictions based on the hypothesis that, for <math altimg="si7.svg"><msub><mrow><mi>p</mi></mrow><mrow><mi mathvariant="normal">T</mi></mrow></msub><mo>≳</mo><mn>25</mn><mspace width="0.2em"/><mtext>GeV</mtext></math>, the non-prompt Image 2 and <math altimg="si1.svg"><mi mathvariant="normal">ψ</mi><mrow><mo stretchy="false">(</mo><mn mathvariant="normal">2S</mn><mo stretchy="false">)</mo></mrow></math> are predominantly produced in two-body B meson decays. The prompt results clearly exclude strong transverse polarizations, even for <math altimg="si6.svg"><msub><mrow><mi>p</mi></mrow><mrow><mi mathvariant="normal">T</mi></mrow></msub></math> exceeding 30 times the Image 2 mass, where <math altimg="si5.svg"><msub><mrow><mi>λ</mi></mrow><mrow><mi>ϑ</mi></mrow></msub></math> tends to an asymptotic value around 0.3. Taken together with previous measurements, by CMS and LHCb at <math altimg="si8.svg"><msqrt><mrow><mi>s</mi></mrow></msqrt><mo linebreak="goodbreak" linebreakstyle="after">=</mo><mn>7</mn></math> TeV, the prompt polarizations show a significant variation with <math altimg="si6.svg"><msub><mrow><mi>p</mi></mrow><mrow><mi mathvariant="normal">T</mi></mrow></msub></math>, at low <math altimg="si6.svg"><msub><mrow><mi>p</mi></mrow><mrow><mi mathvariant="normal">T</mi></mrow></msub></math>.
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Benecke, A., Bethani, A., Bruno, G., Caputo, C., de Favereau de Jeneret, J., Delaere, C., Donertas, I. S., Giammanco, A., Guzel, A., Jain, S., Lemaitre, V., Lidrych, J., Mastrapasqua, P., Tran, T. T., Wertz, S., CMS, & et al. (2024). Measurement of the polarizations of prompt and non-prompt Image 1 and <math altimg=“si1.svg”><mi mathvariant=“normal”>ψ</mi><mrow><mo stretchy=“false”>(</mo><mn mathvariant=“normal”>2S</mn><mo stretchy=“false”>)</mo></mrow></math> mesons produced in pp collisions at <math altimg=“si2.svg”><msqrt><mrow><mi>s</mi></mrow></msqrt><mo linebreak=“goodbreak” linebreakstyle=“after”>=</mo><mn>13</mn><mspace width=“0.2em”/><mtext>TeV</mtext></math>. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 858. https://doi.org/10.1016/j.physletb.2024.139044 (Original work published 2024)