Revisiting rescattering contributions to $$ \overline{B} $$(s) → $$ {D}_{(s)}^{\left(\ast \right)}M $$ decays

Abstract

A bstract Motivated by the reported discrepancies between experimental data and Standard Model predictions for the branching ratios of the color-allowed decays $$ \overline{B} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>B</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> 0 → D (*)+ K − and $$ {\overline{B}}_s^0 $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mover> <mml:mi>B</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>s</mml:mi> <mml:mn>0</mml:mn> </mml:msubsup> </mml:math> → $$ {D}_s^{\left(\ast \right)+}{\pi}^{-} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>D</mml:mi> <mml:mi>s</mml:mi> <mml:mrow> <mml:mfenced> <mml:mo>∗</mml:mo> </mml:mfenced> <mml:mo>+</mml:mo> </mml:mrow> </mml:msubsup> <mml:msup> <mml:mi>π</mml:mi> <mml:mo>−</mml:mo> </mml:msup> </mml:math> , we study final-state rescattering effects on $$ \overline{B} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>B</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> ( s ) → $$ {D}_{(s)}^{\left(\ast \right)}P $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>D</mml:mi> <mml:mfenced> <mml:mi>s</mml:mi> </mml:mfenced> <mml:mfenced> <mml:mo>∗</mml:mo> </mml:mfenced> </mml:msubsup> <mml:mi>P</mml:mi> </mml:math> and $$ \overline{B} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>B</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> ( s ) → D ( s ) V , where P ( V ) is a light pseudoscalar (vector) meson. We consider quasi-elastic rescatterings in the framework of SU(3) and U(3) flavor symmetries, and find that the effects cannot explain the measured branching ratios of the color-allowed and color-suppressed decays simultaneously. We also perform global fits to the $$ \overline{B} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>B</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> ( s ) → $$ {D}_{(s)}^{\left(\ast \right)}P $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>D</mml:mi> <mml:mfenced> <mml:mi>s</mml:mi> </mml:mfenced> <mml:mfenced> <mml:mo>∗</mml:mo> </mml:mfenced> </mml:msubsup> <mml:mi>P</mml:mi> </mml:math> and $$ \overline{B} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>B</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> ( s ) → D ( s ) V data, allowing for new physics contributions to the Wilson coefficient a 1 associated with the color-allowed tree amplitudes. It is shown that the fits prefer a downward shift of $$ \mathcal{O} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> </mml:math> (10%) in a 1 even in the presence of the quasi-elastic rescattering contributions.

Topics & Concepts