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- W3125307517 abstract "Abstract We provide updated predictions for the hadronic decays $$bar{B}_s^0rightarrow D_s^{(*)+} pi ^-$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msubsup> <mml:mover> <mml:mrow> <mml:mi>B</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> <mml:mi>s</mml:mi> <mml:mn>0</mml:mn> </mml:msubsup> <mml:mo>→</mml:mo> <mml:msubsup> <mml:mi>D</mml:mi> <mml:mi>s</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow /> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> <mml:mo>+</mml:mo> </mml:mrow> </mml:msubsup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> and $$bar{B}^0rightarrow D^{(*)+} K^-$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msup> <mml:mrow> <mml:mover> <mml:mrow> <mml:mi>B</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> <mml:mn>0</mml:mn> </mml:msup> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>D</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow /> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> <mml:mo>+</mml:mo> </mml:mrow> </mml:msup> <mml:msup> <mml:mi>K</mml:mi> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> . They are based on $${mathcal {O}}(alpha _s^2)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>O</mml:mi> <mml:mo>(</mml:mo> <mml:msubsup> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> <mml:mn>2</mml:mn> </mml:msubsup> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> results for the QCD factorization amplitudes at leading power and on recent results for the $$bar{B}_{(s)} rightarrow D_{(s)}^{(*)}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mover> <mml:mrow> <mml:mi>B</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>s</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:msub> <mml:mo>→</mml:mo> <mml:msubsup> <mml:mi>D</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>s</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow /> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> </mml:msubsup> </mml:mrow> </mml:math> form factors up to order $$mathcal{O}(Lambda _mathrm{QCD}^2/m_c^2)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>O</mml:mi> <mml:mo>(</mml:mo> <mml:msubsup> <mml:mi>Λ</mml:mi> <mml:mrow> <mml:mi>QCD</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msubsup> <mml:mo>/</mml:mo> <mml:msubsup> <mml:mi>m</mml:mi> <mml:mi>c</mml:mi> <mml:mn>2</mml:mn> </mml:msubsup> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> in the heavy-quark expansion. We give quantitative estimates of the matrix elements entering the hadronic decay amplitudes at order $$mathcal{O}(Lambda _mathrm{QCD}/m_b)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>O</mml:mi> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>Λ</mml:mi> <mml:mi>QCD</mml:mi> </mml:msub> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>m</mml:mi> <mml:mi>b</mml:mi> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> for the first time. Our results are very precise, and uncover a substantial discrepancy between the theory predictions and the experimental measurements. We explore two possibilities for this discrepancy: non-factorizable contributions larger than predicted by the QCD factorization power counting, and contributions beyond the Standard Model. We determine the $$f_s/f_d$$ <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> fragmentation fraction for the CDF, D0 and LHCb experiments for both scenarios." @default.
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- W3125307517 title "A puzzle in $$varvec{bar{B}_{(s)}^0 rightarrow D_{(s)}^{(*)+} lbrace pi ^-, K^-rbrace }$$ decays and extraction of the $$varvec{f_s/f_d}$$ fragmentation fraction" @default.
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