A model independent method for measurement of B± and B0 meson production fractions at Υ(4S)

A bstract This paper presents a detailed description of a model-independent method for the direct measurement of the Υ(4 S ) → B + B − and Υ(4 S ) → $$ {B}^0{\overline{B}}^0 $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>B</mml:mi> <mml:mn>0</mml:mn> </mml:msup> <mml:msup> <mml:mover> <mml:mi>B</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mn>0</mml:mn> </mml:msup> </mml:math> production fractions at B factories. The method is based on counting single- and double-inclusive charmed meson production at the Υ(4 S ) resonance, providing statistical tagging of $$ {B}^0{\overline{B}}^0 $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>B</mml:mi> <mml:mn>0</mml:mn> </mml:msup> <mml:msup> <mml:mover> <mml:mi>B</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mn>0</mml:mn> </mml:msup> </mml:math> and B + B − events. A feasibility study indicates that a precision comparable to the current world average can be achieved without making any underlying assumptions, as the calculations rely solely on event yields.