Higher Order Effects in QCD and the New Development of Calculational Method

• Project/Area Number: 18540267
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Kyoto University
• Principal Investigator: UEMATSU Tsuneo Kyoto University, 大学院・理学研究科, 教授 (80093194)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥3,240,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥540,000); Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
• Keywords: 素粒子論 / 量子色力学 / 摂動論 / 高次効果 / QCD / 光子構造関数 / NNLO / 重クォーク / 標的質量効果 / ヘリシティ / 多粒子散乱振幅

Research Abstract

本研究計画では、素粒子の標準模型の中で強い相互作用に対する量子色力学(QCD)の摂動論に基づいて、その高次効果を従来のNLO(Next-to-leading Order)の近似から一歩進めて、NNLO(Next-to-next-to-leading Order)の精度で計算する手法について研究を遂行した。特にQCDの摂動論で計算可能な仮想光子構造関数について世界で初めてNNLOの精度の計算を実行し、同時に標的質量効果ならびに重クォーク質量効果を解析した。

Research Products

• [Journal Article] Parton distributions in the virtual photon target up to NNLO in QCD, Eur (2009)
  • Author(s): T. Ueda, K. Sasaki and T. Uematsu
  • Journal Title: Phys. J. C (掲載決定)
  • Peer Reviewed
• [Journal Article] Heavy Quark Effects in the Virtual Photon Structure Functions Prog (2009)
  • Author(s): Y. Kitadono, T. Ueda, K. Sasaki, and T. Uematsu
  • Journal Title: Theor. Phys 121 Pages: 495-510
  • Peer Reviewed
• [Journal Article] Sumrules of polarized photon structurefunctions revisited, Acta (2009)
  • Author(s): K. Sasaki, T. Ueda,and T. Uematsu
  • Journal Title: Phys. Polon B37 Pages: 1103-1109
• [Journal Article] Heavy Quark Effects in the Virtual Photon Structure Functions (2009)
  • Author(s): Y. Kitadono
  • Journal Title: Prog. Theor. Phys. 121 Pages: 495-510
  • Peer Reviewed
• [Journal Article] Parton distributions in the virtual photon target up to NNLO in QCD (2009)
  • Author(s): T. Ueda
  • Journal Title: Eur. Phys. J. C
  • Peer Reviewed
• [Journal Article] Virtual Photon Structure Functions to NNLO in QCD, Nucl (2008)
  • Author(s): T. Ueda, T. Uematsu,and K. Sasaki
  • Journal Title: Phys.Proc.Suppl 184 Pages: 27-30
• [Journal Article] Target Mass Corrections forthe Virtual Photon Structure Functionsto the Next-to-next-to-leading Orderin QCD, Phys (2008)
  • Author(s): Y. Kitadono, K. Sasaki, T. Ueda,and T. Uematsu
  • Journal Title: Rev. D77 054019
  • Peer Reviewed
• [Journal Article] Adler-Bardeen theorem for the axialanomaly and the first moment of thepolarized virtual photon structurefunction, AIP Conf (2008)
  • Author(s): T. Ueda, K. Sasaki and T. Uematsu
  • Journal Title: Proc 915 Pages: 482-485
• [Journal Article] Thevirtual photon structure to thenext-to-next-to-leading order in QCD, Phys (2008)
  • Author(s): T. Ueda, K. Sasaki and T. Uematsu
  • Journal Title: Rev. D75 114009 Pages: 1-1
• [Journal Article] Virtual Photon Structure Functions to NNLO in QCD (2008)
  • Author(s): T. Ueda
  • Journal Title: Nucl. Phys. Proc. Suppl. 184 Pages: 27-30
• [Journal Article] Target mass corrections for the virtual photon structure functions to the next-to-next-to-leading order (2008)
  • Author(s): Y. Kitadono
  • Journal Title: Phys. Rev. D77 Pages: 54019-54019
  • Peer Reviewed
• [Journal Article] Parton distributions in the virtualphoton up to NNLO in QCD andfactorization scheme dependence (2007)
  • Author(s): T. Ueda, K. Sasaki,and T. Uematsu
  • Journal Title: PoS (RADCOR2007) 036
• [Journal Article] NNLO QCD analysis of the virtual photon structure functions (2007)
  • Author(s): K. Sasaki, T. Ueda, Y. Kitadono,and T. Uematsu
  • Journal Title: PoS (RADCOR2007) 035
• [Journal Article] Jiro Kodaira (1951-2006), AIP Conf (2007)
  • Author(s): T. Uematsu, In memoriam
  • Journal Title: Proc 915 Pages: 94-97
  • Peer Reviewed
• [Journal Article] The virtual photon structure to the next-to-next-to-leading order in QCD (2007)
  • Author(s): T. Ueda
  • Journal Title: Phys. Rev. D75 Pages: 114009-114009
  • Peer Reviewed
• [Journal Article] Adler-Bardeen theorem for the axial anomaly and the first moment of the polarized virtual photon structure function (2007)
  • Author(s): T. Ueda
  • Journal Title: AIP Conf. Proc. 915 Pages: 482-485
• [Journal Article] Transition from real to virtual polarized photon structures, Phys (2006)
  • Author(s): T. Ueda, T. Uematsu, and K. Sasaki
  • Journal Title: Lett. B640 Pages: 188-195
  • Peer Reviewed
• [Journal Article] Sumrules of polarized photon structurefunctions revisited, ActaSumrules of polarized photon structurefunctions revisited : NNLO correctionsto the first moment of g1^γ (x,Q^2,P^2),Nucl (2006)
  • Author(s): T. Ueda, T. Uematsu,and K. Sasaki
  • Journal Title: Phys.Proc.Suppl 157 Pages: 27-30
• [Journal Article] Theαα_s^2 corrections to the first momentof the polarized virtual photonstructure function g_1^γ(x,Q^2,P^2), Phys (2006)
  • Author(s): K. Sasaki, T. Ueda and T. Uematsu
  • Journal Title: Rev. D73 094024
  • Peer Reviewed
• [Journal Article] The α (α_s)^2 corrections to the first moment of the polarized virtual photon structure function (g_1)^γ (x, Q^2, P^2) (2006)
  • Author(s): K.Sasaki
  • Journal Title: Phys. Rev. D73 Pages: 94024-94024
• [Journal Article] Transition from real to virtual polarized photon structure (2006)
  • Author(s): T.Ueda
  • Journal Title: Phys. Lett. B640 Pages: 188-195
• [Journal Article] Sum Rules of polarized photon structure functions revisited : NNLO corrections to the first moment of (g_1)^γ (x, Q^2, P^2) (2006)
  • Author(s): T.Ueda
  • Journal Title: Nucl. Phys. B (Proc. Suppl.) 157 Pages: 115-119
• [Presentation] 仮想光子内のパートン分布に対する重クォーク効果 (2009)
  • Author(s): 北殿義雄
  • Organizer: 日本物理学会第64回年次大会
  • Place of Presentation: 立教大学,東京
  • Year and Date: 2009-03-29
• [Presentation] 仮想光子内のバートン分布関数における重クォーク効果 (2009)
  • Author(s): 北殿義雄
  • Organizer: 日本物理学会
  • Place of Presentation: 立教大学
  • Year and Date: 2009-03-29
• [Presentation] 光子の構造関数とRγγ-ratio (2008)
  • Author(s): 植田高寛
  • Organizer: 日本物理学会2008年秋季大会
  • Place of Presentation: 山形大学,山形
  • Year and Date: 2008-09-22
• [Presentation] 仮想光子構造関数における重クォーク効果の繰り込み群的解析 (2008)
  • Author(s): 北殿義雄
  • Organizer: 日本物理学会2008年秋季大会
  • Place of Presentation: 山形大学,山形
  • Year and Date: 2008-09-22
• [Presentation] Two-photon過程における構造関数とR2γ-ratio (2008)
  • Author(s): 植田高寛
  • Organizer: 日本物理学会第63回年次大会
  • Place of Presentation: 近畿大学,東大阪
  • Year and Date: 2008-03-28
• [Presentation] 光子構造関数に対するheavyquark effect (2008)
  • Author(s): 北殿義雄
  • Organizer: 日本物理学会第63回年次大会
  • Place of Presentation: 近畿大学,東大阪
  • Year and Date: 2008-03-23
• [Presentation] NNLO QCD analysis of the virtual photon structure functions (2007)
  • Author(s): T. Uematsu
  • Organizer: 8th International Symposium on Radiative Corrections (RADCOR 2007)
  • Place of Presentation: Florence, Italy, Galileo Galilei Inst.
  • Year and Date: 2007-10-04
• [Presentation] Overview of the Spin Structure of the Nucleon (2007)
  • Author(s): 植松恒夫
  • Organizer: 日本物理学会第62回年次大会
  • Place of Presentation: 北海道大学,札幌
  • Year and Date: 2007-09-22
• [Presentation] NNLO までのQCD 高次補正を取り入れた仮想光子中のパートン分布関数の解析 (2007)
  • Author(s): 植田高寛
  • Organizer: 日本物理学会第62回年次大会
  • Place of Presentation: 北海道大学,札幌
  • Year and Date: 2007-09-21
• [Presentation] 仮想光子構造関数のQCD におけるNNLO 及び標的質量効果を含む解析 (2007)
  • Author(s): 北殿義雄
  • Organizer: 日本物理学会第62回年次大会
  • Place of Presentation: 北海道大学,札幌
  • Year and Date: 2007-09-21
• [Presentation] 自己双対Yang-Mills 場を用いたグルーオン散乱振幅の解析 (2007)
  • Author(s): 吉田豊
  • Organizer: 日本物理学会2007年秋季大会
  • Place of Presentation: 首都大学東京,南大沢
  • Year and Date: 2007-03-26
• [Presentation] 仮想光子構造関数におけるNNLO 高次補正の解析 (2007)
  • Author(s): 植田高寛
  • Organizer: 日本物理学会2007年秋季大会
  • Place of Presentation: 首都大学東京,南大沢
  • Year and Date: 2007-03-25
• [Presentation] NNLO QCD analysis of the virtual photon structure functions (2007)
  • Author(s): 植松恒夫
  • Organizer: 第8回輻射補正に関する国際シンポジウム(RADCOR2007)
  • Place of Presentation: フィレンツェ,イタリア
• [Presentation] Parton distributions in thevirtual photon up to NNLO in QCD andfactorization scheme dependence (2007)
  • Author(s): 佐々木賢
  • Organizer: 第8回輻射補正に関する国際シンポジウム
  • Place of Presentation: フィレンツェ,イタリア
• [Presentation] Virtual Photon Structure Functions to NNLO in QCD (2007)
  • Author(s): 佐々木
  • Organizer: 第17回光子- 光子衝突国際ワークショップ
  • Place of Presentation: パリ
• [Presentation] In memoriam : Jiro Kodaira(1951-2006) (2006)
  • Author(s): 植松恒夫
  • Organizer: 第17回スピン物理国際シンポジウム(SPIN2006)
  • Place of Presentation: 京都
• [Presentation] Adler-Bardeen theorem forthe axial anomaly and the first momentof the polarized virtual photonstructure function (2006)
  • Author(s): 佐々木賢
  • Organizer: 第17 回スピン物理国際シンポジウム
  • Place of Presentation: 京都
• [Presentation] Axial anomaly and the polarized photon structure (2006)
  • Author(s): 植松恒夫
  • Organizer: オーバーベルツ・シンポジウム「QCD の成果と展望」
  • Place of Presentation: オーバーベルツ,オーストリア
• [Presentation] Virtual Photon Structure to NNLO in QCD
  • Author(s): 植松恒夫
  • Organizer: サボア大学LAPTHセミナー
  • Place of Presentation: アヌシー,フランス
• [Book] Elsevier (2006)
  • Author(s): 藤本潤平, 小平治郎, 植松恒夫(編著)
  • Total Pages: 208
  • Publisher: Application of Quantum Field Theory toPhenomenology, Proceedings of the 7thInternational Symposium on RadiativeCorrections
• [Book] Proceedings of Itern. Symposium on Radiative Corrections (2006)
  • Author(s): J.Fujimoto
  • Total Pages: 268
  • Publisher: Elsevier