Preliminary lattice QCD calculation of the σ meson decay width

Journal of High Energy Physics

Volumn 2012, Issue 7, 2012, Pages

  Fu, Ziwen ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

Lattice gauge field theories; Lattice QCD

Indexed keywords

EID: 84864452604     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2012)142     Document Type: Article

References (49)

1. Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021.
2. 0γ events at √s approximately M (phi;) with the KLOE detector, Eur. Phys. J. C 49 (2007) 473 [hep-ex/0609009].
3. - J/psi, Phys. Lett. B 645 (2007) 19 [hep-ex/0610023].
4. -, Phys. Lett. B 598 (2004) 149 [hep-ex/0406038].
5. -, Phys. Rev. Lett. 89 (2002) 251802
6. [Erratum Phys. Rev. Lett. 90 (2003) 059901] [hep-ex/0207067].
7. + decay, Phys. Rev. Lett. 86 (2001) 770 [hep-ex/0007028].
8. 0 and the sign of the tau-neutrino helicity, Phys. Rev. D 61 (2000) 012002 [hep-ex/9902022].
9. -N on a polarized target at 5.98 GeV/c, 11.85 GeV/c and 17.2 GeV/c, Phys. Rev. D 53 (1996) 2343 [hep-ph/9511205].
10. J. Oller and E. Oset, Chiral symmetry amplitudes in the S wave isoscalar and isovector channels and the sigma, f0 (980), a0 (980) scalar mesons, Nucl. Phys. A 620 (1997) 438
11. [Erratum Nucl. Phys. A. 652 (1999) 407] [hep-ph/9702314].
12. T. Hyodo, D. Jido and T. Kunihiro, Nature of the σ meson as revealed by its softening process, Nucl. Phys. A 848 (2010) 341 [arXiv: 1007.1718].
13. e4 ππ scatterings data, Phys. Lett. B 688 (2010) 59 [arXiv: 1002.1402].
14. I. Caprini, Finding the sigma pole by analytic extrapolation of ππ scattering data, Phys. Rev. D 77 (2008) 114019 [arXiv: 0804.3504].
15. 0 (600) pole and scattering length, Phys. Rev. D 76 (2007) 074034 [hep-ph/0701025].
16. I. Caprini, G. Colangelo and H. Leutwyler, Mass and width of the lowest resonance in QCD, Phys. Rev. Lett. 96 (2006) 132001 [hep-ph/0512364].
17. 0 (980), Eur. Phys. J. C 28 (2003) 107 [hep-ph/0204338].
18. F. Giacosa and G. Pagliara, On the spectral functions of scalar mesons, Phys. Rev. C 76 (2007) 065204 [arXiv:0707.3594].
19. J. Pelaez, Light scalars as tetraquarks or two-meson states from large-Nc and unitarized chiral perturbation theory, Mod. Phys. Lett. A 19 (2004) 2879 [hep-ph/0411107].
20. J. Nebreda and J. Pelaez., Strange and non-strange quark mass dependence of elastic light resonances from SU (3) unitarized chiral perturbation theory to one loop, Phys. Rev. D 81 (2010) 054035 [arXiv: 1001.5237].
21. Z. W. Fu, Lattice QCD study of the sigma meson, Chin. Phys. Lett. 28 (2011) 081202.
22. Z. Fu, Lattice QCD calculation of ππ scattering length, Commun. Theor. Phys. 57 (2012) 78 [arXiv: 1110. 3918].
23. Z. Fu, Lattice study on πK scattering with moving wall source, Phys. Rev. D 85 (2012) 074501 [arXiv: 1110.1422].
24. Z. Fu, The preliminary lattice QCD calculation of ? meson decay width, JHEP 01 (2012) 017 [arXiv: 1110. 5975].
25. Z. Fu, Rummukainen-Gottlieb's formula on two-particle system with different mass, Phys. Rev. D 85 (2012) 014506 [arXiv: 1110.0319].
26. Fermilab Lattice, MILC collaboration, C. Bernard et al., Tuning fermilab heavy quarks in 2 + 1 flavor lattice QCD with application to hyperfine splittings, Phys. Rev. D 83 (2011) 034503 [arXiv: 1003.1937].
27. A. Bazavov et al., Nonperturbative QCD simulations with 2 + 1 flavors of improved staggered quarks, Rev. Mod. Phys. 82 (2010) 1349 [arXiv: 0903. 3598].
28. K. Rummukainen and S. A. Gottlieb, Resonance scattering phase shifts on a nonrest frame lattice, Nucl. Phys. B 450 (1995) 397 [hep-lat/9503028].
29. M. Lüscher, Two particle states on a torus and their relation to the scattering matrix, Nucl. Phys. B 354 (1991) 531.
30. M. Lüscher and U. Wolff, How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation, Nucl. Phys. B 339 (1990) 222.
31. CP-PACS collaboration, T. Yamazaki et al., I = 2ππ scattering phase shift with two flavors of O (α) improved dynamical quarks, Phys. Rev. D 70 (2004) 074513 [hep-lat/0402025].
32. C. Bernard, C. E. DeTar, Z. Fu and S. Prelovsek, Scalar meson spectroscopy with lattice staggered fermions, Phys. Rev. D 76 (2007) 094504 [arXiv: 0707. 2402].
33. Z. W. Fu and C. DeTar, Scalar meson spectroscopy with a fine lattice, Chin. Phys. C 35 (2011) 896.
34. S. R. Sharpe, R. Gupta and G. W. Kilcup, Lattice calculation of I = 2 pion scattering length, Nucl. Phys. B 383 (1992) 309.
35. Y. Kuramashi, M. Fukugita, H. Mino, M. Okawa and A. Ukawa, Lattice QCD calculation of full pion scattering lengths, Phys. Rev. Lett. 71 (1993) 2387.
36. M. Fukugita, Y. Kuramashi, M. Okawa, H. Mino and A. Ukawa, Hadron scattering lengths in lattice QCD, Phys. Rev. D 52 (1995) 3003 [hep-lat/9501024].
37. Z. Fu, Lattice calculation of κ meson, Chin. Phys. C 36 (2012) 489 [arXiv: 1111.1835].
38. A. Mihaly, H. Fiebig, H. Markum and K. Rabitsch, Interactions between heavy-light mesons in lattice QCD, Phys. Rev. D 55 (1997) 3077.
39. + scattering length from maximally twisted mass lattice QCD, Phys. Lett. B 684 (2010) 268 [arXiv: 0909. 3255].
40. CP-PACS collaboration, S. Aoki et al., Lattice QCD calculation of the ρ meson decay width, Phys. Rev. D 76 (2007) 094506 [arXiv: 0708.3705].
41. Z. Fu, Hybrid meson decay from lattice, arXiv: 1103.1541.
42. SCALAR collaboration, S. Muroya, A. Nakamura, C. Nonaka, M. Sekiguchi and H. Wada, I = 0 scalar channel, Nucl. Phys. Proc. Suppl. 106 (2002) 272 [hep-lat/0112012].
43. X. Feng, K. Jansen and D. B. Renner, Resonance parameters of the ρ-meson from lattice QCD, Phys. Rev. D 83 (2011) 094505 [arXiv: 1011.5288].
44. 0 (600) from its coupling to KK, Phys. Lett. B 680 (2009) 148 [arXiv: 0904. 2555].
45. J. A. Oller, The mixing angle of the lightest scalar nonet, Nucl. Phys. A 727 (2003) 353 [hep-ph/0306031].
46. M. Doring, U.-G. Meissner, E. Oset and A. Rusetsky, Unitarized chiral perturbation theory in a finite volume: scalar meson sector, Eur. Phys. J. A 47 (2011) 139 [arXiv: 1107. 3988].
47. M. Doring and U. G. Meissner, Finite volume effects in pion-kaon scattering and reconstruction of the κ (800) resonance, JHEP 01 (2012) 009 [arXiv: 1111.0616].
48. L. Roca and E. Oset, Scattering of unstable particles in a finite volume: the case of πρ scattering and the a1 (1260) resonance, Phys. Rev. D 85 (2012) 054507 [arXiv: 1201.0438].
49. H.-X. Chen and E. Oset, The pion-pion interaction in the p channel in finite volume, arXiv: 1202.2787.