24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

Chiral Perturbation Theory at finite volume or with twisted boundary conditions

28 Jul 2016, 14:00
20m
Building 67 Room 1003 (Highfield Campus, University of Southampton)

Building 67 Room 1003

Highfield Campus, University of Southampton

Highfield Campus, Southampton SO17 1BJ, UK
Talk Weak Decays and Matrix Elements Weak Decays and Matrix Elements

Speaker

Prof. Johan Bijnens (Lund University)

Description

Recent progress in mesonic Chiral Perturbation Theory at finite volume and/or with twisted boundary conditions will be discussed. Topics include the finite volume at two-loop order calculations of masses and decay constants for the pseudoscalar of the normal case for two and three flavours [1], partially quenched three flavour [2] and the case for different patterns of spontaneous symmetry breaking [3]. Twisted boundary conditions lead to extra terms in Ward identities and form-factors which affects finite volume corrections and relations often used. This will be discussed for a number of cases, the older work [4] and the application to $K_{\ell3}$ for staggered partially quenched [5]. Vector two-point functions relevant for the $g-2$ HVP calculation will be treated at two-loop order [6] allowing a better estimnate of twisting and finite volume corrections. [1] Finite Volume at two-loops in Chiral Perturbation Theory, J. Bijnens and T. Rössler,[arXiv:1411.6384] JHEP 1501 (2015) 034 [2] Finite Volume for Three-Flavour Partially Quenched Chiral Perturbation Theory through NNLO in the Meson Sector, J. Bijnens and T. Rössler, [arXiv:1508.07238] JHEP 1511 (2015) 097 [3] Finite Volume and Partially Quenched QCD-like Effective Field Theories, J. Bijnens and T. Rössler, [arXiv:1509.04082] JHEP 1511 (2015) 017 [4] Masses, Decay Constants and Electromagnetic Form-factors with Twisted Boundary Conditions, J. Bijnens and J. Relefors, [arXiv:1402.1385] JHEP 05 (2014) 015 [5] C. Bernard, J. Bijnens, E. Gamiz and J. Relefors, work in progress [6] J. Bijnens and J. Relefors, work in progress

Primary author

Prof. Johan Bijnens (Lund University)

Presentation Materials