Speaker
Description
Experimentally, the phases $\phi_d$ and $\phi_s$ are determined from CP asymmetry measurements in the ``golden modes" $B_d^0\to J/\psi K^0$ and $B_s^0\to J/\psi\phi$. At leading order, the theoretical interpretation of these measurements is straightforward. However, to reach high precision determinations of $\phi_d$ and $\phi_s$, which is desirable in view of the searches for signs of beyond the SM physics, corrections from next-to-leading order effects need to be accounted for. These corrections primarily originate from so-called penguin topologies. Using the SU(3) flavour symmetry, these corrections can be determined using suitably chosen control modes. Recent new CP asymmetry measurement from LHCb on $B\to DD$ and Belle-II on $B_d^0\to J/\psi\pi^0$ decays greatly improve our knowledge on the parameters describing the contribution from penguin topologies. I will show the current constraints on the penguin parameters in $B\to J/\psi X$ and $B\to DD$ decays and highlight what we can expect at the end of the HL-LHC and Belle-II programmes.
