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• W4386545784 abstract "Abstract We study the current estimates of $$B_crightarrow B_s pi $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo>→</mml:mo> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> to extract the fragmentation fraction $$f_c/f_s$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>s</mml:mi> </mml:msub> </mml:mrow> </mml:math> at the LHCb. A rather robust estimate of $$Br(B_crightarrow B_s pi )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>B</mml:mi> <mml:mi>r</mml:mi> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo>→</mml:mo> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mi>π</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> based on factorization and lattice results for the form factor gives $$f_c/f_s sim 0.056$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mo>∼</mml:mo> <mml:mn>0.056</mml:mn> </mml:mrow> </mml:math> with a 16% error. We also revisit the extraction of $$f_s/f_d$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>d</mml:mi> </mml:msub> </mml:mrow> </mml:math> using $$Brightarrow Dpi $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>B</mml:mi> <mml:mo>→</mml:mo> <mml:mi>D</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> instead of the theoretical cleaner but more suppressed channel $$Brightarrow DK$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>B</mml:mi> <mml:mo>→</mml:mo> <mml:mi>D</mml:mi> <mml:mi>K</mml:mi> </mml:mrow> </mml:math> . We also find a tension on the predictions of $$Br(B_crightarrow J/psi pi )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>B</mml:mi> <mml:mi>r</mml:mi> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo>→</mml:mo> <mml:mi>J</mml:mi> <mml:mo>/</mml:mo> <mml:mi>ψ</mml:mi> <mml:mi>π</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> and $$Br(B_crightarrow B_spi )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>B</mml:mi> <mml:mi>r</mml:mi> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo>→</mml:mo> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mi>π</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> considering the measurements of these modes at LHCb, and find that, within a 23% uncertainty, only the lower end of the current prediction range $$Br(B_crightarrow J/psi )sim 0.4% - 1.7%$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>B</mml:mi> <mml:mi>r</mml:mi> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>B</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo>→</mml:mo> <mml:mi>J</mml:mi> <mml:mo>/</mml:mo> <mml:mi>ψ</mml:mi> <mml:mo>)</mml:mo> <mml:mo>∼</mml:mo> <mml:mn>0.4</mml:mn> <mml:mo>%</mml:mo> <mml:mo>-</mml:mo> <mml:mn>1.7</mml:mn> <mml:mo>%</mml:mo> </mml:mrow> </mml:math> would be consistent with the LHCb measurements." @default.
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• W4386545784 date "2023-09-08" @default.
• W4386545784 modified "2023-10-16" @default.
• W4386545784 title "The b quark fragmentation fractions at LHCb and meson decays with heavy quark spectators" @default.
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• W4386545784 doi "https://doi.org/10.1140/epjc/s10052-023-11974-1" @default.
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