Nichtstörungstheoretische Bestimmung von Standardmodellparametern für die Phänomenologie der Flavourphysik mit schweren Quarks

• Applicant: Professor Dr. Jochen Heitger
• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: from 2012 to 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 217901421

• Final Report Year: 2019

Final Report Abstract

The outcome of the present project contributes to theoretical determinations of fundamental parameters of the Standard Model of Elementary Particle Physics by means of Monte Carlo simulations of Quantum Chromodynamics (QCD) with dynamical quarks on a space-time lattice. One part of the work was dedicated to precision computations of phenomenologically relevant hadronic masses and matrix elements in B-physics, which — in conjunction with measured experimental rates of the decay processes involved — are crucial theory inputs for global analyses of the quark-mixing matrix and the impact of possible effects from New Physics. The main results obtained here are the mass of the b-quark, the B-meson leptonic decay constants and certain energy levels in the B-meson spectrum, including a trustworthy estimation of the remaining statistical and systematic uncertainties. Moreover, we have devised and numerically implemented a strategy to extend our lattice QCD approach to B-physics to also calculate form factors of semi-leptonic B-meson decays. The other part of the project dealt with non-perturbative determinations of the improvement coefficient and the renormalization factor of the isovector axial current for lattice QCD with three dynamical flavours of Wilson fermions. Its results represent an important prerequisite for a variety of applications, such as lattice computations of quark masses, meson decay constants and (nucleon) axial form factors, to name but a few.

Publications

• Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks. Phys. Lett. B 735 (2014) 349
  Bernardoni, Fabio; Blossier, Benoît; Bulava, John; Della Morte, Michele; Fritzsch, Patrick; Garron, Nicolas; Gérardin, Antoine; Heitger, Jochen; von Hippel, Georg; Simma, Hubert & Sommer, Rainer
  
• Matching of heavy-light flavour currents between HQET at order 1/m and QCD: I. Strategy and tree-level study. J. High Energy Phys. 1405 (2014) 060
  Morte, Michele Della; Dooling, Samantha; Heitger, Jochen; Hesse, Dirk & Simma, Hubert
  
• The b-quark mass from non-perturbative Nf = 2 Heavy Quark Effective Theory at O(1/mh). Phys. Lett. B 730 (2014) 171
  Bernardoni, Fabio; Blossier, Benoît; Bulava, John; Della Morte, Michele; Fritzsch, Patrick; Garron, Nicolas; Gérardin, Antoine; Heitger, Jochen; von Hippel, Georg; Simma, Hubert & Sommer, Rainer
  
• B-meson spectroscopy in HQET at order 1/m. Phys. Rev. D 92 (2015) 5 054509
  Bernardoni, Fabio; Blossier, Benoît; Bulava, John; Della Morte, Michele; Fritzsch, Patrick; Garron, Nicolas; Gérardin, Antoine; Heitger, Jochen; von Hippel, Georg & Simma, Hubert
  
• Non-perturbative improvement of the axial current in Nf = 3 lattice QCD with Wilson fermions and tree-level improved gauge action. Nucl. Phys. B 896 (2015) 555
  Bulava, John; Della Morte, Michele; Heitger, Jochen & Wittemeier, Christian
  
• Non-perturbative renormalization of the axial current in Nf = 3 lattice QCD with Wilson fermions and tree-level improved gauge action. Phys. Rev. D 93 (2016) 11 114513
  Bulava, John; Della Morte, Michele; Heitger, Jochen & Wittemeier, Christian
  
• Non-perturbative tests of continuum HQET through small-volume two-flavour QCD. J. High Energy Phys. 1601 (2016) 093
  Fritzsch, Patrick; Garron, Nicolas & Heitger, Jochen
  
• Non-perturbative matching of HQET heavy-light axial and vector currents in Nf = 2 lattice QCD. PoS LATTICE2016 (2017) 199
  Heitger, Jochen; Della Morte, Michele; Wittemeier, Christian; Korcyl, Piotr & Simma, Hubert
  
• Leptonic Ds decays in two-flavour lattice QCD. Phys. Rev. D 98 (2018) 5 054506
  Blossier, Benoît; Heitger, Jochen & Post, Matthias