A06: Theory Heavy quark physics from lattice QCD

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A06 TheoryHeavy quark physics from lattice QCD

• Sinya AOKI
• Graduate School of Pure and Applied Sciences
• University of Tsukuba

Fourth Workshop on Mass Origin and Supersymmetry
Physics March 6-8, 2006, Tsukuba, Japan
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Introduction
Determination of CKM matrix from experiments
Theoretical (non-perturbative) estimates are
required for these.
Lattice QCD !
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Problem of lattice QCD for b quark
Methods so far
Research in this project
Aoki-Kuramashi-Tominaga
Aoki-Kayaba-Kuramashi
Aoki-Kayaba-Kuramashi
Aoki-Kayaba-Kuramashi
Aoki-Kuramashi
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On-shell improvement program for massive quark
Aoki-Kuramashi-Tominaga
Aoki-Kayaba-Kuramashi
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lattice spacing
continuum limit
Aoki-Kayaba-Kuramashi CP-PACS
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b quark in our method (quenched QCD)
Aoki-Kuramashi
heavy-heavy meson
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hyperfine splitting(heavy-heavy)
Vector
Pseudo Scalar
Old
Scalings are better in new method, best in
new(non-perturbative)
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decay constant (heavy-strange)
Old
Old
New method is as good as old one. Continuum limit
can be taken in new method
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b quark mass
quark masses can NOT be measured experimentally.
New, from HH
New, from HL
scaling is better in heavy-heavy case HH and HL
seem to agree in the continuum limit
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Conclusions and Discussions

• Studied new proposal for bottom as well as charm
  quarks
• new method works for charm quark
• decay constant of charm-strange meson has been
  obtained in the continuum limit of full QCD
• new method also works for bottom quark
• better than old one in heavy-heavy mesons
• as good as old one in heavy-light mesons
• Future works continuum limit of b quark physics
• meson masses and decay constants, quark mass
• full QCD(NF 2 and 21) as well as quenched QCD