Pion mass difference from vacuum polarization

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dc.creatorJLQCD Collaboration
dc.creatorShintani, E.
dc.creatorFukaya, H.
dc.creatorHashimoto, S.
dc.creatorMatsufuru, H.
dc.creatorNoaki, J.
dc.creatorOnogi, T.
dc.creatorYamada, N.
dc.date2007-10-03
dc.date.accessioned2026-07-07T11:53:20Z
dc.date.available2026-07-07T11:53:20Z
dc.descriptionWe calculate the electromagnetic contribution to the pion mass difference, $Δm^2_π=m^2_{π^+}-m^2_{π^0}$, in the chiral limit through the $VV-AA$ type vacuum polarization using Das-Guralnik-Mathur-Low-Young (DGMLY) sum rule. The calculation is made with two-flavors of dynamical overlap fermions on a $16^3\times 32$ lattice at $a\sim$0.12 fm. The exact chiral symmetry of the overlap fermion is essential to control the systematic error in the difference $VV-AA$. We obtain $Δm_π^2 = 1024(100) {\rm MeV^2}$ combining the lattice data with the perturbative contribution in the high momentum region evaluated by the operator product expansion. By analyzing the momentum dependence of the vacuum polarization, we also obtain pion decay constant $f_π$ and the low-energy constants $L_{10}^r$ in the chiral limit.
dc.description7 pages, 2 figures, talk (Hadron spectroscopy) presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4, 2007, Regensburg, Germany
dc.identifierhttps://arxiv.org/abs/0710.0691
dc.identifierhttp://arxiv.org/abs/0710.0691
dc.identifierPoSLAT2007:134,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204504
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePion mass difference from vacuum polarization
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