Understand
We calculate the electromagnetic contribution to the pion mass difference, $\Delta m^2_\pi=m^2_{\pi^+}-m^2_{\pi^0}$, 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 $\Delta m_\pi^2 = 1024(100) {\rm MeV^2}$ combining the lattice data with the perturbative contribution in the high momentum region evaluated by the operator product expansion.
Built on
T. Das, G. S. Guralnik, V. S. Mathur, F. E. Low and J. E. Young, Phys. Rev. Lett. 18
1967
Earlier work this paper cites.
S. Weinberg, Phys. Rev. Lett. 18
1967
Earlier work this paper cites.
R. Gupta, G. Kilcup and S. R. Sharpe, Phys. Lett. B 147
1984
Earlier work this paper cites.
J. Gasser and H. Leutwyler, Ann. Phys. 158
1985
Earlier work this paper cites.
G. Ecker, J. Gasser, A. Pich and E. de Rafael, Nucl. Phys. B 321
1989
Earlier work this paper cites.
Similar
M. E. Peskin and T. Takeuchi, Phys. Rev. Lett. 65
1992
Cited alongside, same era.
J. F. Donoghue and E. Golowich, Phys. Lett. B 478
2000
Cited alongside, same era.
R. Brower, S. Chandrasekharan, J.W. Negele and U.J. Wiese, Phys. Lett. B 560
2003
Cited alongside, same era.
K. Yamawaki, Phys. Lett. 118B
2004
Cited alongside, same era.
M. A. Shifman, A. I. Vainstein, Z. I. Zakharov, Nucl. Phys. B 147
2004
Cited alongside, same era.
T. Blum, T. Doi, M. Hayakawa, T. Izubuchi and N. Yamada (RBC collaboration), arXiv:0708.0484
Cited in the paper.
S. R. Sharpe, arXive:0706.0218
Cited in the paper.
J. Noaki et al
Cited in the paper.
G. Ecker, hep-ph/0702263
Cited in the paper.
Then
W.-M. Yao et al
2006
Later among the works it cites.
A. Duncan, E. Eichten and H. Thacker, Phys. Rev. Lett. 76
2006
Later among the works it cites.
H. Fukaya, S. Hashimoto, K. I. Ishikawa, T. Kaneko, H. Matsufuru, T. Onogi and N. Yamada [JLQCD Collaboration], Phys. Rev. D 74
2006
Later among the works it cites.
2007
Closest in time.
S. Aoki, H. Fukaya, S. Hashimoto and T. Onogi, Phys. Rev. D 76
2007
Closest in time.
Beyond the bibliography
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…