Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory

Journal of High Energy Physics

Volumn 2012, Issue 12, 2012, Pages

  Ren, X L ^a   Geng, L S ^a   Camalich, J Martin ^b   Meng, J ^a,c,d   Toki, H ^e  

^a BEIHANG UNIVERSITY   (China)

^b UNIVERSITY OF SUSSEX   (United Kingdom)

^c PEKING UNIVERSITY   (China)

^d STELLENBOSCH UNIVERSITY   (South Africa)

^e OSAKA UNIVERSITY   (Japan)

Author keywords

Chiral Lagrangians; Lattice QCD

Indexed keywords

EID: 84878601025     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP12(2012)073     Document Type: Article

References (70)

1. K.G. Wilson, Confinement of Quarks, Phys. Rev. D 10 (1974) 2445 [ INSPIRE ].
2. C. Gattringer and C.B. Lang, Quantum Chromodynamics on the Lattice - An Introductory Presentation, Springer, Heidelberg Germany (2010).
3. ETM collaboration, C. Alexandrou et al., Low-lying baryon spectrum with two dynamical twisted mass fermions, Phys. Rev. D 80 (2009) 114503 [ arXiv:0910.2419 ] [ INSPIRE ].
4. S. Dürr et al., Ab-Initio Determination of Light Hadron Masses, Science 322 (2008) 1224 [ arXiv:0906.3599 ] [ INSPIRE ].
5. PACS-CS collaboration, S. Aoki et al., 2+1 Flavor Lattice QCD toward the Physical Point, Phys. Rev. D 79 (2009) 034503 [ arXiv:0807.1661 ] [ INSPIRE ].
6. PACS-CS collaboration, S. Aoki et al., Physical Point Simulation in 2+1 Flavor Lattice QCD, Phys. Rev. D 81 (2010) 074503 [ arXiv:0911.2561 ] [ INSPIRE ].
7. A. Walker-Loud et al., Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea, Phys. Rev. D 79 (2009) 054502 [ arXiv:0806.4549 ] [ INSPIRE ].
8. Hadron Spectrum collaboration, H.-W. Lin et al., First results from 2+1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass, Phys. Rev. D 79 (2009) 034502 [ arXiv:0810.3588 ] [ INSPIRE ].
9. W. Bietenholz et al., Tuning the strange quark mass in lattice simulations, Phys. Lett. B 690 (2010) 436 [ arXiv:1003.1114 ] [ INSPIRE ].
10. W. Bietenholz et al., Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks, Phys. Rev. D 84 (2011) 054509 [ arXiv:1102.5300 ] [ INSPIRE ].
11. S. Beane et al., High Statistics Analysis using Anisotropic Clover Lattices: (IV) Volume Dependence of Light Hadron Masses, Phys. Rev. D 84 (2011) 014507 [ arXiv:1104.4101 ] [ INSPIRE ].
12. Particle Data Group collaboration, J. Beringer et al., Review of Particle Physics (RPP), Phys. Rev. D 86 (2012) 010001 [ INSPIRE ].
13. Z. Fodor and C. Hölbling, Light Hadron Masses from Lattice QCD, Rev. Mod. Phys. 84 (2012) 449 [ arXiv:1203.4789 ] [ INSPIRE ].
14. S. Weinberg, Phenomenological Lagrangians, Physica A 96 (1979) 327 [ INSPIRE ].
15. J. Gasser and H. Leutwyler, Chiral Perturbation Theory to One Loop, Annals Phys. 158 (1984) 142 [ INSPIRE ].
16. J. Gasser and H. Leutwyler, Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark, Nucl. Phys. B 250 (1985) 465 [ INSPIRE ].
17. J. Gasser, M. Sainio and A. Svarc, Nucleons with Chiral Loops, Nucl. Phys. B 307 (1988) 779 [ INSPIRE ].
18. H. Leutwyler, Principles of chiral perturbation theory, hep-ph/9406283 [ INSPIRE ].
19. V. Bernard, N. Kaiser and U.-G. Meissner, Chiral dynamics in nucleons and nuclei, Int. J. Mod. Phys. E 4 (1995) 193 [ hep-ph/9501384 ] [ INSPIRE ].
20. A. Pich, Chiral perturbation theory, Rept. Prog. Phys. 58 (1995) 563 [ hep-ph/9502366 ] [ INSPIRE ].
21. G. Ecker, Chiral perturbation theory, Prog. Part. Nucl. Phys. 35 (1995) 1 [ hep-ph/9501357 ] [ INSPIRE ].
22. A. Pich, Effective field theory: Course, hep-ph/9806303 [ INSPIRE ].
23. V. Bernard and U.-G. Meissner, Chiral perturbation theory, Ann. Rev. Nucl. Part. Sci. 57 (2007) 33 [ hep-ph/0611231 ] [ INSPIRE ].
24. V. Bernard, Chiral Perturbation Theory and Baryon Properties, Prog. Part. Nucl. Phys. 60 (2008) 82 [ arXiv:0706.0312 ] [ INSPIRE ]. (Pubitemid 350052299)
25. S. Scherer and M.R. Schindler, A Primer for Chiral Perturbation Theory, Springer, Heidelberg Germany (2012).
26. E.E. Jenkins and A.V. Manohar, Baryon chiral perturbation theory using a heavy fermion Lagrangian, Phys. Lett. B 255 (1991) 558 [ INSPIRE ].
27. T. Becher and H. Leutwyler, Baryon chiral perturbation theory in manifestly Lorentz invariant form, Eur. Phys. J. C 9 (1999) 643 [ hep-ph/9901384 ] [ INSPIRE ].
28. J. Gegelia and G. Japaridze, Matching heavy particle approach to relativistic theory, Phys. Rev. D 60 (1999) 114038 [ hep-ph/9908377 ] [ INSPIRE ].
29. T. Fuchs, J. Gegelia, G. Japaridze and S. Scherer, Renormalization of relativistic baryon chiral perturbation theory and power counting, Phys. Rev. D 68 (2003) 056005 [ hep-ph/0302117 ] [ INSPIRE ].
30. V. Bernard, T.R. Hemmert and U.-G. Meissner, Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass, Nucl. Phys. A 732 (2004) 149 [ hep-ph/0307115 ] [ INSPIRE ].
31. R.D. Young, D.B. Leinweber and A.W. Thomas, Convergence of chiral effective field theory, Prog. Part. Nucl. Phys. 50 (2003) 399 [ hep-lat/0212031 ] [ INSPIRE ].
32. D.B. Leinweber, A.W. Thomas and R.D. Young, Physical nucleon properties from lattice QCD, Phys. Rev. Lett. 92 (2004) 242002 [ hep-lat/0302020 ] [ INSPIRE ].
33. R. Young and A. Thomas, Octet baryon masses and sigma terms from an SU(3) chiral extrapolation, Phys. Rev. D 81 (2010) 014503 [ arXiv:0901.3310 ] [ INSPIRE ].
34. A. Semke and M. Lutz, Baryon self energies in the chiral loop expansion, Nucl. Phys. A 778 (2006) 153 [ nucl-th/0511061 ] [ INSPIRE ].
35. E.E. Jenkins, Baryon masses in chiral perturbation theory, Nucl. Phys. B 368 (1992) 190 [ INSPIRE ].
36. V. Bernard, N. Kaiser and U.G. Meissner, Critical analysis of baryon masses and sigma terms in heavy baryon chiral perturbation theory, Z. Phys. C 60 (1993) 111 [ hep-ph/9303311 ] [ INSPIRE ].
37. M.K. Banerjee and J. Milana, Baryon mass splittings in chiral perturbation theory, Phys. Rev. D 52 (1995) 11.
38. B. Borasoy and U.-G. Meissner, Chiral expansion of baryon masses and sigma terms, Annals Phys. 254 (1997) 192 [ hep-ph/9607432 ] [ INSPIRE ].
39. A. Walker-Loud, Octet baryon masses in partially quenched chiral perturbation theory, Nucl. Phys. A 747 (2005) 476 [ hep-lat/0405007 ] [ INSPIRE ].
40. P. Ellis and K. Torikoshi, Baryon masses in chiral perturbation theory with infrared regularization, Phys. Rev. C 61 (2000) 015205 [ nucl-th/9904017 ] [ INSPIRE ].
41. M. Frink and U.-G. Meissner, Chiral extrapolations of baryon masses for unquenched three flavor lattice simulations, JHEP 07 (2004) 028 [ hep-lat/0404018 ] [ INSPIRE ].
42. M. Frink, U.-G. Meissner and I. Scheller, Baryon masses, chiral extrapolations and all that, Eur. Phys. J. A 24 (2005) 395 [ hep-lat/0501024 ] [ INSPIRE ].
43. B. Lehnhart, J. Gegelia and S. Scherer, Baryon masses and nucleon sigma terms in manifestly Lorentz-invariant baryon chiral perturbation theory, J. Phys. G 31 (2005) 89 [ hep-ph/0412092 ] [ INSPIRE ].
44. J. Martin Camalich, L.S. Geng and M. Vicente Vacas, The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory, Phys. Rev. D 82 (2010) 074504 [ arXiv:1003.1929 ] [ INSPIRE ].
45. A. Semke and M.F.M. Lutz, On the possibility of a discontinuous quark-mass dependence of baryon octet and decuplet masses, Nucl. Phys. A 789 (2007) 251
46. A. Semke and M. Lutz, On the quark-mass dependence of the baryon ground-state masses, Phys. Rev. D 85 (2012) 034001 [ arXiv:1111.0238 ] [ INSPIRE ].
47. P.C. Bruns, L. Greil and A. Schafer, Chiral extrapolation of baryon mass ratios, arXiv:1209.0980 [ INSPIRE ].
48. M. Lutz and A. Semke, On the consistency of recent QCD lattice data of the baryon ground-state masses, Phys. Rev. D 86 (2012) 091502 [ arXiv:1209.2791 ] [ INSPIRE ].
49. PACS-CS collaboration, K.-I. Ishikawa et al., SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2+1 flavor lattice QCD, Phys. Rev. D 80 (2009) 054502 [ arXiv:0905.0962 ] [ INSPIRE ].
50. J. Alarcon, L.S. Geng, J.M. Camalich and J. Oller, On the strangeness content of the nucleon, arXiv:1209.2870 [ INSPIRE ].
51. 3), JHEP 09 (2006) 079 [ hep-ph/0608204 ] [ INSPIRE ]. (Pubitemid 44506850)
52. L.S. Geng, J. Martin Camalich, L. Álvarez-Ruso and M. Vicente Vacas, Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory, Phys. Rev. Lett. 101 (2008) 222002 [ arXiv:0805.1419 ] [ INSPIRE ].
53. s decay constants, Phys. Lett. B 696 (2011) 390 [ arXiv:1012.0666 ] [ INSPIRE ].
54. L.S. Geng, J. Martin-Camalich, L. Álvarez-Ruso and M. Vicente-Vacas, The Lowest-lying spin-1/2 and spin-3/2 baryon magnetic moments in chiral perturbation theory, arXiv:1001.0465 [ INSPIRE ].
55. J. Bijnens and I. Jemos, A new global fit of the L-i^r at next-to-next-to-leading order in Chiral Perturbation Theory, Nucl. Phys. B 854 (2012) 631 [ arXiv:1103.5945 ] [ INSPIRE ].
56. QCDSF-UKQCD collaboration, A. Ali Khan et al., The Nucleon mass in N(f) = 2 lattice QCD: Finite size effects from chiral perturbation theory, Nucl. Phys. B 689 (2004) 175 [ hep-lat/0312030 ] [ INSPIRE ]. (Pubitemid 38687296)
57. M. Procura, B. Musch, T. Wollenweber, T. Hemmert and W. Weise, Nucleon mass: From lattice QCD to the chiral limit, Phys. Rev. D 73 (2006) 114510 [ hep-lat/0603001 ] [ INSPIRE ].
58. L.S. Geng, X.-l. Ren, J. Martin-Camalich and W. Weise, Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory, Phys. Rev. D 84 (2011) 074024 [ arXiv:1108.2231 ] [ INSPIRE ].
59. H. Ohki et al., Nucleon sigma term and strange quark content in 2+1-flavor QCD with dynamical overlap fermions, PoS(LAT2009)124 [ arXiv:0910.3271 ] [ INSPIRE ].
60. G. Amoros, J. Bijnens and P. Talavera, QCD isospin breaking in meson masses, decay constants and quark mass ratios, Nucl. Phys. B 602 (2001) 87 [ hep-ph/0101127 ] [ INSPIRE ]. (Pubitemid 33623668)
61. M. Procura, T.R. Hemmert and W. Weise, Nucleon mass, sigma term and lattice QCD, Phys. Rev. D 69 (2004) 034505 [ hep-lat/0309020 ] [ INSPIRE ].
62. J. Giedt, A.W. Thomas and R.D. Young, Dark matter, the CMSSM and lattice QCD, Phys. Rev. Lett. 103 (2009) 201802 [ arXiv:0907.4177 ] [ INSPIRE ].
63. S. Dürr et al., Sigma term and strangeness content of octet baryons, Phys. Rev. D 85 (2012) 014509 [ arXiv:1109.4265 ] [ INSPIRE ].
64. P. Shanahan, A. Thomas and R. Young, Sigma terms from an SU(3) chiral extrapolation, arXiv:1205.5365 [ INSPIRE ].
65. A. Semke and M. Lutz, Strangeness in the baryon ground states, Phys. Lett. B 717 (2012) 242 [ arXiv:1202.3556 ] [ INSPIRE ].
66. R. Horsley et al., Hyperon sigma terms for 2+1 quark flavours, Phys. Rev. D 85 (2012) 034506 [ arXiv:1110.4971 ] [ INSPIRE ].
67. J. Gasser, H. Leutwyler and M. Sainio, Sigma term update, Phys. Lett. B 253 (1991) 252 [ INSPIRE ].
68. J. Alarcon, J. Martin Camalich and J. Oller, The chiral representation of the πN scattering amplitude and the pion-nucleon sigma term, Phys. Rev. D 85 (2012) 051503 [ arXiv:1110.3797 ] [ INSPIRE ].
69. QCDSF collaboration, G.S. Bali et al., The strange and light quark contributions to the nucleon mass from Lattice QCD, Phys. Rev. D 85 (2012) 054502 [ arXiv:1111.1600 ] [ INSPIRE ].
70. G. Bali et al., Nucleon mass and sigma term from lattice QCD with two light fermion flavors, Nucl. Phys. B 866 (2013) 1 [ arXiv:1206.7034 ] [ INSPIRE ].