2005 Fiscal Year Final Research Report Summary
Non-perturbative construction of heavy quark effective theory on the lattice
| Project/Area Number |
14540289
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
素粒子・核・宇宙線
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| Research Institution | High Energy Accelerator Research Organization (KEK) (2004-2005)
The High Energy Accelerator Research Organization (2002-2003) |
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Principal Investigator |
HASHIMOTO Shoji High Energy Accelerator Research Organization (KEK), Institute of Particle and Nuclear Studies, 素粒子原子核研究所, 助教授 (90280510)
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| Co-Investigator(Kenkyū-buntansha) |
ONOGI Tetsuya Kyoto University, Yukawa Institute for Theoretical Physics, 基礎物理学研究所, 助教授 (70211802)
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| Project Period (FY) |
2002 – 2005
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| Keywords | lattice QCD / B meson / effective theory |
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| Research Abstract |
The purpose of this research project is a construction of the heavy quark effective theory on the lattice, which is necessary for the simulations of heavy quark in the lattice QCD. Using such formulation, one can reduce the systematic uncertainty in the lattice calculations of various B meson matrix elements, such as the B meson decay constant. For doing this, a non-perturbative matching of parameters in the lattice heavy quark effective theory, and in this project we choose a two-step strategy : (1)construction of relativistic lattice action on an anisotropic lattice, and (2)matching onto the heavy quark effective theory.
For the anisotropic lattice action on the lattice, there was a worry that it produces large systematic error when used for heavy quarks. We propose an action which does not have such a problem. That is based on a lattice fermion action including interactions with next-to-nearest neighbors. We confirmed that the problem does not appear by perturbative calculations. In addition we calculated the non-perturbative matching of the parameters in the anisotropic lattice action in order to make it consistent with the Lorentz symmetry.
For the heavy quark effective theory, we consider an action that contains 1/m corrections, and started a work to do a non-perturbative matching calculation using the Schrodinger functional technique. It is based on the method already available in the case of the static approximation which contains no 1/m corrections.
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