cern.ch

Updated LHCb combination of the CKM angle $\gamma$

[to restricted-access page]

Abstract

The latest results of the CKM angle $\gamma$ combination are presented for the 2020 LHCb Implications Workshop. New and updated inputs from $ B ^+ \rightarrow D h^+$ ( $ D\rightarrow h^+h^-$ ), $ B ^+ \rightarrow D h^+$ ( $ D\rightarrow K ^0_{\mathrm{S}} h^+h^-$ ), $ B ^+ \rightarrow D h^+$ ( $ D\rightarrow K ^0_{\mathrm{S}} K^\pm\pi^\mp$ ), $ B ^+ \rightarrow D^* h^{+} $ ( $ D\rightarrow h^+h^-$ ), $ B ^0 \rightarrow D K^{*0}$ ( $ D\rightarrow h^+h^-$ and $ D\rightarrow h^+\pi^-\pi^+\pi^-$ ) and $ B ^0_ s \rightarrow D_s^\mp K^\pm \pi^\pm \pi^\mp$ ( $ D ^{\pm}_ s \rightarrow h^{\pm} h^{\mp} \pi ^\pm $ ) decays are included, where $h = K$ or $\pi$. The new combination gives $\gamma = (67\pm4)^\circ$, where the uncertainty includes both statistical and systematic effects.

Figures and captions

One dimensional $ 1-{\rm CL}$ scan showing the result of the $\gamma$ combination. The components corresponding to the various $B$-meson species are also reported.

gammac[..].pdf [16 KiB]
HiDef png [340 KiB]
Thumbnail [209 KiB]
*.C file
gammacharm_lhcb_comp_flavour.pdf

Profile-likelihood contours of the result of the combination for $\gamma$ vs. $r^{DK^\pm}_{ B ^\pm }$ (top) and $\delta^{DK^\pm}_{ B ^\pm }$ (bottom). The contours show the two-dimensional regions which contain $68.3\%$ and $95.4\%$ of the distributions. Partial combinations corresponding to the specific decay modes are also shown.

gammac[..].pdf [26 KiB]
HiDef png [441 KiB]
Thumbnail [257 KiB]
*.C file
gammacharm_lhcb_dhch_g_r_dk.pdf
gammac[..].pdf [21 KiB]
HiDef png [438 KiB]
Thumbnail [257 KiB]
*.C file
gammacharm_lhcb_dhch_g_d_dk.pdf

Animated gif made out of all figures.

CONF-2020-003.gif
Thumbnail
thumbnail_CONF-2020-003.gif

Tables and captions

List of the LHCb measurements used in the $\gamma$ combination. Those that have changed since the previous combination [3] are highlighted in bold. Measurements denoted by (*) include only a fraction of the Run 2 sample, corresponding to data taken in 2015 and 2016.

Table_1.pdf [83 KiB]
HiDef png [142 KiB]
Thumbnail [64 KiB]
tex code
Table_1.pdf

A summary of the obtained central values and uncertainties (at 1 and 2 $\sigma$) for the CKM angle $\gamma$ for the LHCb combination and modes split by the initial $B$ state. These values are extracted from the profile-likelihood scans in Fig. 1.

Table_2.pdf [68 KiB]
HiDef png [68 KiB]
Thumbnail [31 KiB]
tex code
Table_2.pdf

Created on 02 May 2024.