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A model independent method for measurement of $B^{\pm}$ and $B^0$ meson production fractions at $Υ(4S)$

Murad Yasaveev, Pavel Pakhlov, Nikolai Peters, Alena Mufazalova

Abstract

This paper presents a detailed description of a model-independent method for the direct measurement of the $Υ(4S) \to B^+ B^-$ and $Υ(4S) \to B^0 \bar{B}^0$ production fractions at $B$ factories. The method is based on counting single- and double-inclusive charmed meson production at the $Υ(4S)$ resonance, providing statistical tagging of $B^0\bar{B}^0$ 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.

A model independent method for measurement of $B^{\pm}$ and $B^0$ meson production fractions at $Υ(4S)$

Abstract

This paper presents a detailed description of a model-independent method for the direct measurement of the and production fractions at factories. The method is based on counting single- and double-inclusive charmed meson production at the resonance, providing statistical tagging of and 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.

Paper Structure

This paper contains 24 sections, 56 equations, 2 figures, 1 table.

Table of Contents

  1. Introduction
  2. Method
  3. Double-tag approach in $\Upsilon(4S)$ decays
  4. Simplified system with semileptonic tags
  5. Lifting the degeneracy through charge correlations
  6. Complete charge-resolved system
  7. Selection criteria and analysis strategy
  8. Notations and definitions
  9. System of equations
  10. Single-daughter yields
  11. Double-daughter yields
  12. Triple-daughter yields
  13. Four-daughter yields
  14. External constraints and discrete ambiguity
  15. Feasibility study
  16. ...and 9 more sections

Figures (2)

  • Figure 1: Distributions of the fitted values of $f^{00}$ (left) and $f^{+-}$ (right) obtained from pseudo-experiments. The vertical line indicates the input value, while the curve shows the result of a Gaussian fit.
  • Figure 2: Distribution of the fitted values of $f^{\cancel{B}}$ obtained from pseudo-experiments. The vertical line indicates the input value, while the curve shows the result of a Gaussian fit.