Prospects for time-dependent asymmetries at LHCb

LHCb has been acquiring physics data since 2010 and recorded about 0.04 fb$^{-1}$ in 2010 and 1.1 fb$^{-1}$ in 2011 at center-of-mass energy $\sqrt{s}$ of 7 TeV. In 2012, it is projected to record 2.2 $^{-1}$ at an energy of $\sqrt{s}$ = 8 TeV with a nominal instantaneous luminosity of $\cal{L}$ = 4 x 10$^{32}$ cm $^{-2}$ s$^{-1}$, before a long shutdown of almost two years. The data taking is expected to resume by the end of 2014 at $\sqrt{s}$ = 13 – 14 TeV, before a second long shutdown in 2018 when the upgraded LHCb detector components will be installed. Since the $b\bar{b}$ cross section depends almost linearly on $\sqrt{s}$, this will lead to an increase of about 100% in $b\bar{b}$ pairs yield at $\sqrt{s}$ = 14 compared to $\sqrt{s}$ = 7. By 2018, a data sample larger than 8 fb$^{-1}$ is expected to have been recorded, leading to an increase of about a factor four in statistical power with respect to the 1 fb$^{-1}$ sample recorded at $\sqrt{s}$ = 7 TeV. The LHCb upgrade [2] is designed to take data up to a luminosity of $\cal{L}$ = 2 • 10$^{33}$ cm $^{-2}$ s$^{-1}$ at $\sqrt{s}$ = 13 – 14 TeV, recording more than 5 fb$^{-1}$ each year. In order not to suffer from large pile-up, the 25 ns bunch spacing of the LHCb will be required. The detector readout will be upgraded to all the full 40 MHz LHC interaction rate to be read into a software trigger, improving the trigger efficiency on hadronic modes a factor 2 (Figure 1). With an operation time of 10 years starting from 2019, it is expected to record more than 50 fb$^{-1}$. That will lead to a gain in statistical power by a factor ten with respect to the 1 fb$^{-1}$ of LHCb. This paper are based on the LHCb upgrade Letter-Of-Intent (LoI) [2], the LHCb upgrade Framework TDR [3] and the LHCb prospects paper [4]. A summary of the status and the prospects of the time-dependent $CP$-observables is provided with their statistical error expectations. Systematic errors are expected to be kept below the statistical ones throughout the upgrade programme.