博士論文公聴会の公示(物理学専攻) 学位申請者:鈴木貴志 (Takashi Suzuki) 論文題目:Extracting the meson form factors from lattice QCD (格子量子色力学による中間子形状因子の決定) 日時: 2016 年2月5日(金) 14:40 - 16:10 場所: 理学研究科 H 棟 7 階セミナー室 A (H701 号室) 主査: 細谷 裕 副査: 大野木哲也、久野良孝、山口 哲、深谷英則 論文要旨: Precise computation of meson form factors in lattice QCD plays an important role in examining the standard model of particle physics. In this thesis, we study how to obtain a better control of three major systematic errors in the computation of the relevant three point functions to the form factors, finite lattice volume, finite lattice spacing, and violation of the chiral symmetry. In the first part, we focus on the finite volume effects on the pion form factors. Using chiral perturbation theory, we find ratios of correlators, which automatically cancel the dominant finite volume effects coming from the zero momentum mode of pions. We show that a precise extraction of the pion charge radius can be carried out on a rather small lattice size L ∼ 3 fm. In the second part, we report on our recent numerical study in JLQCD collaboration. We use the Möbius domain-wall fermions in order to reduce the systematic errors due to violation of chiral symmetry, as well as finite lattice spacing by simulating fine lattices. Our preliminary result for the semileptonic D meson form factors with the cutoff 1/a ∼ 2.4 GeV already shows a good agreement with the experiments.
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