Study of B→πlν semileptonic decay using lattice nonrelativistic QCD
2014
1 INTRODUCTION / p2
1.1 Lattice B Physics / p2
1.2 B meson decays and basic theoretical ideas / p4
1.3 The Lattice Simulations for the semileptonic decay form factors / p6
2 LATTICE FORMULATION / p10
2.1 Lattice NRQCD action / p10
2.2 Correlation functions / p12
2.3 Perturbative corrections / p14
3 SIMULATION DETAILS / p18
3.1 Simulation parameters / p18
3.2 Light-light meson / p19
3.3 Heavy-light meson / p22
3.4 Three-point function and matrix elements / p25
3.5 Form factors / p29
3.6 Chiral extrapolation / p30
4 RESULTS AND PHYSICAL IMPLICATIONS / p32
4.1 1/mB dependence / p32
4.2 q²-dependence of the form factors / p40
4.3 Soft pion theorem / p47
5 EXAMINATION OF SYSTEMATIC ERRORS / p49
6 CONCLUSION / p50
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