Studies of the decay $B^{0}_{s} \to D^{\mp}_sK^{\pm}$

TL;DR

This paper reports the most precise measurement of the branching fraction of the decay $B^{0}_{s} o D^{ p}_s K^{ p}$, which is crucial for cleanly determining the CKM angle $oldsymbol{\gamma}$ in particle physics.

Contribution

It provides the world’s best measurement of the decay's branching fraction relative to a similar mode using LHCb data from 2011.

Findings

Branching fraction of $B^{0}_{s} o D^{ p}_s K^{ p}$ measured as $(1.90 imes 10^{-4})$ with uncertainties.

First precise measurement of this decay mode's branching ratio.

Supports future time-dependent CP violation studies for CKM angle $oldsymbol{\gamma}$.

Abstract

The decay mode $B^{0}_{s} \to D^{\mp}_s K^{\pm}$ allows for one of the theoretically cleanest time dependent measurements of the CKM angle $\gamma$. This contribution reports the world best branching fraction of this decay relative to the Cabibbo--favoured mode $B^{0}_{s} \to D_{s}^{-}\pi^{+}$ based on data sample of 0.37 $\rm fb^{-1}$ proton--proton collisions at $\sqrt{s} = 7$ TeV collected with the LHCb detector in 2011, resulting in $BR(\BsDK) = (1.90 \pm 0.12^{stat} \pm {{0.13^{syst}}^{+0.12}_{-0.14}}^{f_{s}/f_{d}})\times 10^{-4}$.