The main focus of project C1b are lifetimes and inclusive decays of B and D mesons. Based on the Heavy Quark Expansion a systematic expansion of the physical quantities are obtained as an expansion in the inverse heavy quark mass. Several matching coefficient are computed to higher order in perturbative QCD and their phenomenological implications are studied.
Project Topics
$\mathbf{\Gamma_{12}^q}$ to NNLO for $\mathbf{m_c=0}$
will reduce perturbative uncertainty of leading-power contribution to $\Delta \Gamma_s$ from $\sim$10% to $\sim$3%
requires solution of new three-loop integral families
$\mathbf{\Gamma_{12}^q}$ at order $\mathbf{\alpha_s/m_b}$
needed to reduce overall uncertainty in $\Delta \Gamma_q/\Delta M_q$ well below 10\%
$\mathbf{\tau(B^+)/\tau(B_d)}$ and $\mathbf{\tau(\Xi_b^0)/\tau(\Xi_b^-)}$ at orders $\mathbf{\alpha_s^2}$ and $\mathbf{\alpha_s/m_b}$
tests the formalism (HQE and lattice calculations)
Charm hadron lifetimes
tests the HQE at order $1/m_Q$
$\mathbf{\tau(B_s)/\tau(B_d)}$ and $\mathbf{\tau(\Lambda_b)/\tau(\Xi_b^0)}$
probes new physics in penguin coefficients
$\mathbf{\Gamma_{12}^q}$ to NNLO at order $\mathbf{m_c^2/m_b^2}$
NNLO accuracy for $a_{\text{fs}}^d$, which probes new physics in e.g. $b\to d \bar{q} q$ decays
Phenomenological studies
devise judicious combinations to reduce hadronic uncertainties
propose new observables
Related publications
P3H-22-051
Title: The width difference in the $B-\bar{B}$ system at next-to-next-to-leading order of QCD
Info: Published in Phys.Rev.Lett. 129 (2022) 10, 102001
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