論文

査読有り 招待有り
2020年2月

FLAG Review 2019

The European Physical Journal C
  • S. Aoki
  • Y. Aoki
  • D. Bečirević
  • T. Blum
  • G. Colangelo
  • S. Collins
  • M. Della Morte
  • P. Dimopoulos
  • S. Dürr
  • H. Fukaya
  • M. Golterman
  • Steven Gottlieb
  • R. Gupta
  • S. Hashimoto
  • U. M. Heller
  • G. Herdoiza
  • R. Horsley
  • A. Jüttner
  • T. Kaneko
  • C.-J. D. Lin
  • E. Lunghi
  • R. Mawhinney
  • A. Nicholson
  • T. Onogi
  • C. Pena
  • A. Portelli
  • A. Ramos
  • S. R. Sharpe
  • J. N. Simone
  • S. Simula
  • R. Sommer
  • R. Van de Water
  • A. Vladikas
  • U. Wenger
  • H. Wittig
  • 全て表示

80
2
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1140/epjc/s10052-019-7354-7
出版者・発行元
Springer Science and Business Media LLC

<title>Abstract</title>We review lattice results related to pion, kaon, <italic>D</italic>-meson, <italic>B</italic>-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor <inline-formula><alternatives><tex-math>$$f_+(0)$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mo>+</mml:mo></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></alternatives></inline-formula> arising in the semileptonic <inline-formula><alternatives><tex-math>$$K \rightarrow \pi $$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>K</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi></mml:mrow></mml:math></alternatives></inline-formula> transition at zero momentum transfer, as well as the decay constant ratio <inline-formula><alternatives><tex-math>$$f_K/f_\pi $$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>K</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>π</mml:mi></mml:msub></mml:mrow></mml:math></alternatives></inline-formula> and its consequences for the CKM matrix elements <inline-formula><alternatives><tex-math>$$V_{us}$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>us</mml:mi></mml:mrow></mml:msub></mml:math></alternatives></inline-formula> and <inline-formula><alternatives><tex-math>$$V_{ud}$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>ud</mml:mi></mml:mrow></mml:msub></mml:math></alternatives></inline-formula>. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of <inline-formula><alternatives><tex-math>$$SU(2)_L\times SU(2)_R$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mi>L</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mi>R</mml:mi></mml:msub></mml:mrow></mml:math></alternatives></inline-formula> and <inline-formula><alternatives><tex-math>$$SU(3)_L\times SU(3)_R$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mi>L</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mi>R</mml:mi></mml:msub></mml:mrow></mml:math></alternatives></inline-formula> Chiral Perturbation Theory. We review the determination of the <inline-formula><alternatives><tex-math>$$B_K$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>B</mml:mi><mml:mi>K</mml:mi></mml:msub></mml:math></alternatives></inline-formula> parameter of neutral kaon mixing as well as the additional four <italic>B</italic> parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for <inline-formula><alternatives><tex-math>$$m_c$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>m</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math></alternatives></inline-formula> and <inline-formula><alternatives><tex-math>$$m_b$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>m</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:math></alternatives></inline-formula> as well as those for <italic>D</italic>- and <italic>B</italic>-meson decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant <inline-formula><alternatives><tex-math>$$\alpha _s$$</tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>α</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:math></alternatives></inline-formula>. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.

リンク情報
DOI
https://doi.org/10.1140/epjc/s10052-019-7354-7
URL
http://link.springer.com/content/pdf/10.1140/epjc/s10052-019-7354-7.pdf
URL
http://link.springer.com/article/10.1140/epjc/s10052-019-7354-7/fulltext.html
ID情報
  • DOI : 10.1140/epjc/s10052-019-7354-7
  • ISSN : 1434-6044
  • eISSN : 1434-6052

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