Novel approaches to determine B± and B0 meson production fractions

We propose novel methods to determine the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi mathvariant="normal">ϒ</a:mi><a:mo stretchy="false">(</a:mo><a:mn>4</a:mn><a:mi>S</a:mi><a:mo stretchy="false">)</a:mo><a:mo stretchy="false">→</a:mo><a:msup><a:mrow><a:mi>B</a:mi></a:mrow><a:mrow><a:mo>+</a:mo></a:mrow></a:msup><a:msup><a:mrow><a:mi>B</a:mi></a:mrow><a:mrow><a:mo>−</a:mo></a:mrow></a:msup></a:mrow></a:math> and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mrow><g:mi mathvariant="normal">ϒ</g:mi><g:mo stretchy="false">(</g:mo><g:mn>4</g:mn><g:mi>S</g:mi><g:mo stretchy="false">)</g:mo><g:mo stretchy="false">→</g:mo><g:msup><g:mrow><g:mi>B</g:mi></g:mrow><g:mrow><g:mn>0</g:mn></g:mrow></g:msup><g:msup><g:mrow><g:mover accent="true"><g:mrow><g:mi>B</g:mi></g:mrow><g:mrow><g:mo stretchy="false">¯</g:mo></g:mrow></g:mover></g:mrow><g:mrow><g:mn>0</g:mn></g:mrow></g:msup></g:mrow></g:math> decay rates. The precision to which they and their ratio are known yields at present a limiting uncertainty around 2% in measurements of absolute <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>B</o:mi></o:math> decay rates, and thus in a variety of applications, such as precision determinations of elements of the Cabibbo-Kobayashi-Maskawa matrix and flavor-symmetry relations. The new methods we propose are based in one case on exploiting the <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mi mathvariant="normal">ϒ</q:mi><q:mo stretchy="false">(</q:mo><q:mn>5</q:mn><q:mi>S</q:mi><q:mo stretchy="false">)</q:mo></q:math> datasets, in the other case on the different average number of charged tracks in <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"><v:msup><v:mi>B</v:mi><v:mo>±</v:mo></v:msup></v:math> and <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"><x:msup><x:mi>B</x:mi><x:mn>0</x:mn></x:msup></x:math> decays. We estimate future sensitivities using these methods and discuss possible measurements of <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:mrow><z:msub><z:mrow><z:mi>f</z:mi></z:mrow><z:mrow><z:mi>d</z:mi></z:mrow></z:msub><z:mo>/</z:mo><z:msub><z:mrow><z:mi>f</z:mi></z:mrow><z:mrow><z:mi>u</z:mi></z:mrow></z:msub></z:mrow></z:math> at the (HL-)LHC.