====== C1a : Inclusive semileptonic, rare and radiative decays of  $B$ mesons======

^Principal Investigators^^
|[[http://www.physik.uni-siegen.de/tp1/research/researchgroups/huber.html?lang=de | Dr. Tobias Huber    ]] | University of Siegen | 
|[[http://www.physik.uni-siegen.de/tp1/research/researchgroups/mannel.html?lang=de | Prof. Thomas  Mannel]] |University of Siegen  |
| [[https://www.ttp.kit.edu/en/memberpages/steinhauser | Prof. Matthias Steinhauser ]] |Karlsruhe Institute of Technology|

==== Subject ====
In project C1a various aspects of the Heavy Quark Expansion are used to provide precision predictions for inclusive B-meson decays. Both higher order perturbative corrections and non-perturbative matrix elements will be computed. This will lead to a more precise determination of fundamental flavour-physics parameters such as the Cabibbo-Kobayashi-Maskawa matrix element $V_{cb}$.
==== Topics ====

  - Quark Masses: improve relation between $m_{\rm kin}$ and pole mass; establish N$^3$LO relation between kinetic and $\overline{\rm MS}$ mass; include finite charm quark mass effects;
  - Heavy Quark Expansion for charged currents:  QCD corrections to higher orders in the $1/m_Q$ expansion; QED Corrections for the precision determination 
  - on $V_{cb}$; improvement of the inclusive $V_{ub}$ determination; improvement of the HQE parameters;
  - Inclusive Decays ${\mathbf{\bar B \to X_s  \gamma}}$ and ${\mathbf{\bar B \to X_{s,(d)} \,  \ell^+\ell^-}}$: 4-loop $Q_{1/2}-Q_7$ interference contribution; QED bremstrahlung corrections; constraining ``New Physics'' from FCNC $B$ Decays;
  - Increase precision of ${\mathbf{\bar B \to X_{s,(d)} \,  \ell^+\ell^-}}$: treatment of resonances and analysis of $m_{X_s}$ cut effects; constraints on New Physics and interplay with exclusive modes; contributions of multi-parton final states;
  - Higher-order behaviour of the HQE:  structures of the HQE at higher order and resummations; realistic models for Duality Violations;
  - Non-leptonic $B$ meson decays up to NNLO

==== Related publications ====

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