ππ scattering in three flavour ChPT

Journal of High Energy Physics

Volumn 8, Issue 1, 2004, Pages 1273-1301

  Bijnens, Johan ^a   Dhonte, Pierre ^a   Talavera, Pere ^b  

^a LUND UNIVERSITY   (Sweden)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Chiral Lagrangians; Spontaneous Symmetry Breaking

Indexed keywords

EID: 23144446372     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (59)

1. S. Weinberg, Pion scattering lengths, Phys. Rev. Lett. 17 (1966) 616.
2. H. Pagels, Departures from chiral symmetry: a review, Phys. Rept. 16 (1975) 219.
3. S. Weinberg, Phenomenological lagrangians, Physica A96 (1979) 327.
4. J. Gasser and H. Leutwyler, Chiral perturbation theory to one loop, Ann. Phys. (NY) 158 (1984) 142.
5. J. Gasser and H. Leutwyler, Low-energy theorems as precision tests of QCD, Phys. Lett. B 125 (1983) 325.
6. J. Gasser and H. Leutwyler, Chiral perturbation theory: expansions in the mass of the strange quark, Nucl. Phys. B 250 (1985) 465.
7. ℓ4 decays and the low-energy expansion, Nucl. Phys. B 337 (1990) 635.
8. ℓ4 decays, Phys. Rev. D 43 (1991) 127.
9. V. Bernard, N. Kaiser and U.G. Meissner, πk scattering in chiral perturbation theory to one loop, Nucl. Phys. B 357 (1991) 129.
10. M. Knecht, B. Moussallam, J. Stern and N.H. Fuchs, The low-energy ππ amplitude to one and two loops, Nucl. Phys. B 457 (1995) 513 [hep-ph/9507319].
11. J. Bijnens, G. Colangelo, G. Ecker, J. Gasser and M.E. Sainio, Elastic ππ scattering to two loops, Phys. Lett. B 374 (1996) 210 [hep-ph/9511397].
12. J. Bijnens, G. Colangelo, G. Ecker, J. Gasser and M.E. Sainio, Pion pion scattering at low energy, Nucl. Phys. B 508 (1997) 263 [hep-ph/9707291].
13. ℓ4 form-factors, Phys. Lett. B 480 (2000) 71 [hep-ph/9912398].
14. ℓ4 form-factors and ππ scattering, Nucl. Phys. B 585 (2000) 293 [hep-ph/0003258].
15. S.M. Roy, Exact integral equation for pion pion scattering involving only physical region partial waves, Phys. Lett. B 36 (1971) 353.
16. J.L. Basdevant, C.D. Froggatt and J.L. Petersen, Construction of phenomenological ππ amplitudes, Nucl. Phys. B 72 (1974) 413.
17. e4 decays, Phys. Rev. D 15 (1977) 574.
18. J. Stern, H. Sazdjian and N.H. Fuchs, What π-π scattering tells us about chiral perturbation theory, Phys. Rev. D 47 (1993) 3814 [hep-ph/9301244].
19. B. Ananthanarayan, G. Colangelo, J. Gasser and H. Leutwyler, Roy equation analysis of ππ scattering, Phys. Rept. 353 (2001) 207 [hep-ph/0005297].
20. G. Colangelo, J. Gasser and H. Leutwyler, The ππ s-wave scattering lengths, Phys. Lett. B 488 (2000) 261 [hep-ph/0007112].
21. G. Colangelo, J. Gasser and H. Leutwyler, ππ scattering, Nucl. Phys. B 603 (2001) 125 [hep-ph/0103088].
22. J. Bijnens, G. Colangelo and P. Talavera, The vector and scalar form factors of the pion to two loops, J. High Energy Phys. 05 (1998) 014 [hep-ph/9805389].
23. M. Knecht, B. Moussallam, J. Stern and N.H. Fuchs, Determination of two-loop ππ scattering amplitude parameters, Nucl. Phys. B 471 (1996) 445 [hep-ph/9512404].
24. J.R. Pelaez and F.J. Yndurain, On the precision of chiral-dispersive calculations of ππ scattering, Phys. Rev. D 68 (2003) 074005 [hep-ph/0304067];
25. F.J. Yndurain, Comments on some chiral-dispersive calculations of ππ scattering, hep-ph/0310206;
26. The quadratic scalar radius of the pion and the mixed πk radius, Phys. Lett. B 578 (2004) 99 [hep-ph/0309039].
27. I. Caprini, G. Colangelo, J. Gasser and H. Leutwyler, On the precision of the theoretical predictions for ππ scattering, Phys. Rev. D 68 (2003) 074006 [hep-ph/0306122].
28. 0, Phys. Rev. Lett. 87 (2001) 221801 [hep-ex/0106071].
29. e4 decay properties, Phys. Rev. D 67 (2003) 072004 [hep-ex/0301040].
30. S. Descotes-Genon, N.H. Fuchs, L. Girlanda and J. Stern, Analysis and interpretation of new low-energy ππ scattering data, Eur. Phys. J. C 24 (2002) 469 [hep-ph/0112088].
31. S. Descotes-Genon, L. Girlanda and J. Stern, Chiral order and fluctuations in multi-flavour QCD, Eur. Phys. J. C 27 (2003) 115 [hep-ph/0207337].
32. S. Descotes-Genon, N.H. Fuchs, L. Girlanda and J. Stern, Resumming QCD vacuum fluctuations in three-flavour chiral perturbation theory, hep-ph/0311120.
33. f, Phys. Rev. Lett. 86 (2001) 5858 [hep-ph/0103221].
34. J. Bijnens and P. Dhonte, Scalar form factors in SU(3) chiral perturbation theory, J. High Energy Phys. 10 (2003) 061 [hep-ph/0307044].
35. G. Amoros, J. Bijnens and P. Talavera, Two-point functions at two loops in three flavour chiral perturbation theory, Nucl. Phys. B 568 (2000) 319 [hep-ph/9907264].
36. 6 of chiral perturbation theory, Nucl. Phys. B 599 (2001) 30 [hep-ph/0007095].
37. 6 in chiral perturbation theory, Eur. Phys. J. C 25 (2002) 427 [hep-ph/0112352].
38. J. Bijnens and P. Talavera, Pion and kaon electromagnetic form factors, J. High Energy Phys. 03 (2002) 046 [hep-ph/0203049].
39. ℓ3 decays in chiral perturbation theory, Nucl. Phys. B 669 (2003) 341 [hep-ph/0303103].
40. A. Pich, Effective field theory, Lectures at Les Houches Summer School in Theoretical Physics, Session 68: probing the standard model of particle interactions, Les Houches, France, 28 Jul - 5 Sep 1997 [hep-ph/9806303];
41. G. Ecker, Strong interactions of light flavours, lectures given at Advanced school on quantum chromodynamics (QCD 2000), Benasque, Huesca, Spain, 3-6 Jul 2000 [hep-ph/0011026];
42. S. Scherer, Introduction to chiral perturbation theory, hep-ph/0210398.
43. 6, J. High Energy Phys. 02 (1999) 020 [hep-ph/9902437].
44. 6, Ann. Phys. (NY) 280 (2000) 100 [hep-ph/9907333].
45. J. Bijnens, G. Colangelo and G. Ecker, Double chiral logs, Phys. Lett. B 441 (1998) 437 [hep-ph/9808421].
46. 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].
47. G. Ecker, J. Gasser, A. Pich and E. de Rafael, The role of resonances in chiral perturbation theory, Nucl. Phys. B 321 (1989) 311.
48. G. Ecker, J. Gasser, H. Leutwyler, A. Pich and E. de Rafael, Chiral lagrangians for massive spin 1 fields, Phys. Lett. B 223 (1989) 425.
49. c and chiral symmetry, J. High Energy Phys. 06 (2003) 012 [hep-ph/0305311].
50. J. Bijnens, E. Gamiz, E. Lipartia and J. Prades, QCD short-distance constraints and hadronic approximations, J. High Energy Phys. 04 (2003) 055 [hep-ph/0304222].
51. 6) low-energy constants and QCD short-distance constraints, Eur. Phys. J. C 21 (2001) 659 [hep-ph/0106034];
52. c QCD, J. High Energy Phys. 05 (1998) 011 [hep-ph/9805442].
53. ℓ4 decays beyond one loop, Nucl. Phys. B 427 (1994) 427 [hep-ph/9403390].
54. V. Bernard, N. Kaiser and U.G. Meissner, Chiral perturbation theory in the presence of resonances: application to ππ and πk scattering, Nucl. Phys. B 364 (1991) 283.
55. J.A.M. Vermaseren, New features of form, math-ph/0010025.
56. P. Post and J.B. Tausk, The sunset diagram in SU(3) chiral perturbation theory, Mod. Phys. Lett. A 11 (1996) 2115 [hep-ph/9604270].
57. A. Ghinculov and J.J. van der Bij, Massive two loop diagrams: the Higgs propagator, Nucl. Phys. B 436 (1995) 30 [hep-ph/9405418];
58. A. Ghinculov and Y.-P. Yao, Massive two-loop integrals in renormalizable theories, Nucl. Phys. B 516 (1998) 385 [hep-ph/9702266].
59. These can be downloaded from http://www.thep.lu.se/~bijnens/chpt.html.