Heavy light mesons in lattice HQET and QCD [Elektronische Ressource] / von Damiano Guazzini

Heavy lightmesonsinlatticeHQETandQCDDISSERTATIONzurErlangungdesakademischenGradesdoctorrerumnaturalium(Dr. rer. nat.)imFachPhysikeingereichtanderMathematisch NaturwissenschaftlichenFakultätIHumboldt UniversitätzuBerlinvonHerrnDipl. Phys.DamianoGuazzinigeborenam15.11.1980inGrosseto,ItalienPräsidentderHumboldt UniversitätzuBerlin:Prof. Dr. ChristophMarkschiesDekanderMathematisch NaturwissenschaftlichenFakultätI:Prof. Dr. ChristianLimbergGutachter:1. Dr.RainerSommer2. Prof.Dr.UlrichWolff3. Dr.MikePeardoneingereichtam: 29. März2007TagdermündlichenPrüfung: 28. Juni2007DESY THESIS 2007 034AbstractWe present a study of a combination of HQET and relativistic QCD to extract the b quark mass and the B meson decay constant from lattice quenched simulations. Wesstart from a small volume, where one can directly simulate the b quark, and computethe connection to a large volume, where finite size effects are negligible, through afinite size technique. The latter consists of steps extrapolated to the continuum limit,wheretheb regionisreachedthroughinterpolationsguidedbytheeffectivetheory.WiththelatticespacinggivenintermsoftheSommer’sscaler andtheexperimen 0tal B and K masses, we get the final results for the renormalization group invariantsmass M =6.88(10) GeV, translating into m (m )=4.42(6) GeV in the MS scheme,b b band f =191(6)MeVforthedecayconstant.