Publication: Inverse amplitude method in chiral perturbation theory
Loading...
Official URL
Full text at PDC
Publication Date
1997-09-01
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Exportar
Abstract
Based on a dispersive approach, we apply the inverse amplitude method to unitarize one-loop SU(2) and SU(3) chiral perturbation theory. Numerically, we find that this unitarization technique yields the correct complex analytic structure in terms of cuts and poles. Indeed, using the chiral parameter estimates obtained from low-energy experiments we obtain the poles associated with the p(770) and K*(982) resonances. Just by fixing their actual masses we obtain a parametrization of the pi pi and pi K phase shifts in eight different channels. With this fit we have then calculated several low-energy phenomenological parameters estimating their errors. Among others, we have obtained the chiral parameters and scattering lengths, which can be relevant for future experiments.
Description
© 1997 The American Physical Society.
J.R.P would like to thank the Theory Group at Berkeley
for their kind hospitality and the Jaime del Amo oundation
for financial support. He also wishes to thank M. S. Chanowitz for calling his attention to the f 0 problem. We have also profitted from discussions with U. G. Meissner on the pK elastic scattering amplitudes and M. R. Pennington on the Adler zero problem and the left cut contribution. We thank D. Toublan too, for pointing an error in our calculations as well as C. Carone for reading the manuscript. This work has been partially supported by the Ministerio de Educación y Ciencia (Spain) (CICYT AEN93-0776). Partial support by U.S. DOE under contract No. DE-AC03-76SF00098 is gratefully acknowledged.
UCM subjects
Unesco subjects
Keywords
Citation
[1] S. Weinberg, Physica A 96, 327 (1979).
[2] J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984).
[3] J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985); B250, 517 (1985).
[4] K. Knecht, B. Moussallam, J. Stern, and N. H. Fuchs, Nucl. Phys. B457, 513 (1995).
[5] J. Bijnens, G. Colangelo, G. Ecker, J. Gasser, and M. E. Sainio, Phys. Lett. B 374, 210 (1996).
[6] Chiral Dynamics: Theory and Experiment, Proceedings of the Workshop held at MIT, Cambridge, MA, July, 1994, edited by A. M. Bernstein and B. R. Holstein (Springer, Berlin, 1995).
[7] Tran N. Truong, Phys. Rev. Lett. 61, 2526 (1988); 67, 2260 (1991).
[8] A. Dobado, M. J. Herrero, and T. N. Truong, Phys. Lett. B 235, 134 (1990).
[9] G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1989); G. Ecker, J. Gasser, H. Leutwyler, A. Pich, and E. de Rafael, Phys. Lett. B 223, 425 (1989); J. F. Donoghue, C. Ramirez, and G. Valencia, Phys. Rev. D 39, 1947 (1989); V. Bernard, N. Kaiser, and U. G. Meissner, Nucl. Phys. B364, 283 (1991).
[10] M. Harada, F. Sannino, and J. Schechter, Phys. Rev. D 54, 1991 (1996).
[11] S. N. Gupta, Quantum Electrodynamics (Gordon and Breach, New York, 1981), p. 191.
[12] C. J. C. Im, Phys. Lett. B 281, 357 (1992); A. Dobado and J. R. Pela´ez, ibid. 286, 136 (1992): A. Dobado and J. Morales, ibid. 365, 264 (1996); Phys. Rev. D 52, 2878 (1995).
[13] A. Dobado and J. R. Peláez, Phys. Rev. D 47, 4883 (1993).
[14] T. Hannah, Phys. Rev. D 51, 103 (1995); 52, 4971 (1995).
[15] A. Dobado and J. R. Peláez, Z. Phys. C 57, 501 (1993).
[16] Particle Data Group (PDG), L. Montanet et al., Phys. Rev. D 50, 1173 (1994), and 1995 off-year partial update for the 1996 edition available on the PDG WWW pages URL:http://pdg.lbl.gov).
[17] J. M. Cornwall, D. N. Levin, and G. Tiktopoulos, Phys. Rev. 10, 1145 (1974); B. W. Lee, C. Quigg, and H. Thacker, ibid. 16, 1519 (1977); M. Veltman, Acta Phys. Pol. B 8, 475 (1977); M. S. Chanowitz and M. K. Gaillard, Nucl. Phys. B261, 379 (1985).
[18] T. Appelquist and C. Bernard, Phys. Rev. D 22, 200 (1980); A. C. Longhitano, Nucl. Phys. B188, 118 (1981).
[19] A. Dobado and M. J. Herrero, Phys. Lett. B 228, 495 (1989); 233, 505 (1989); J. Donoghue and C. Ramirez ibid. 234, 361 (1990); A. Dobado, M. J. Herrero, and T. N. Truong, ibid. 235, 129 (1989); A. Dobado, M. J. Herrero, and J. Terrón, Z. Phys. C 50, 205 (1991); 50, 465 (1991); S. Dawson and G. Valencia, Nucl. Phys. 352, 27 (1991); A. Dobado, D. Espriu, and M. J. Herrero, Phys. Lett. B 255, 405 (1991); D. Espriu and M. J. Herrero, Nucl. Phys. B373, 117 (1992).
[20] A. Dobado, M. J. Herrero, J. R. Peláez, E. Ruiz Morales, and M. T. Urdiales, Phys. Lett. B 352, 400 (1995); CMS Technical Proposal, CERN/LHC94-38, LHCC/P1, 1994.
[21] A. Dobado and J. R. Peláez, Nucl. Phys. B425, 110 (1994); Phys. Lett. B 329, 469 (1994); 335, 554 (1994); H. J. He, Y. P. Kuang, and X. Li, ibid. 329, 278 [1994].
[22] V. Bernard, N. Kaiser, and U. G. Meissner, Phys. Rev. D 43, 2757 (1991).
[23] V. Bernard, N. Kaiser, and U. G. Meissner, Nucl. Phys. B357, 129 (1991).
[24] J. Gasser and U. G. Meissner, Nucl. Phys. B357, 90 (1991); Phys. Lett. B 258, 219 (1991).
[25] The Second DAFNE Physics Handbook, edited by L. Maiani, G. Pancheri, and N. Paver (INFN, Frascati, 1995).
[26] K. L. Au, D. Morgan, and M. R. Pennington, Phys. Rev. D 35, 1633 (1987); D. Morgan and M. R. Pennington, ibid. 48, 1185 (1993); G. Jansen et al., ibid. 52, 2690 (1995): N. Tornqvist and M. Roos, Phys. Rev. Lett. 76, 1575 (996).
[27] B. S. Zou and D. V. Bugg, Phys. Rev. D 48, 3948 (1993).
[28] H. Lehmann, Phys. Lett. 41B, 529 (1972).
[29] C. Riggenbach, J. F. Donogue, J. Gasser, and B. Holstein, Phys. Rev. D 43, 127 (1991).
30 J. Bijnens, G. Colangelo, and J. Gasser, Nucl. Phys. B427, 427 (1994).
[31] S. D. Protopopescu et al., Phys. Rev. D 7, 1279 (1973).
[32] G. Grayer et al., Nucl. Phys. B75, 189 (1974).
[33] M. J. Losty et al., Nucl. Phys. B69, 185 (1974).
[34] P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974).
[35] V. Srinivasan et al., Phys. Rev. D 12, 681 (1975).
[36] L. Rosselet et al., Phys. Rev. D 15, 574 (1977).
[37] W. Hoogland et al., Nucl. Phys. B126, 109 (1977).
[38] R. Mercer et al., Nucl. Phys. B32, 381 (1971).
[39] H. H. Bingham et al., Nucl. Phys. B41, 1 (1972).
[40] D. Linglin et al., Nucl. Phys. B57, 64 (1973).
[41] M. J. Matison et al., Phys. Rev. D 9, 1872 (1974).
[42] S. L. Baker et al., Nucl. Phys. B99, 211 (1975).
[43] P. Estabrooks et al., Nucl. Phys. B133, 490 (1978).
[44] B. Ananthanarayan, D. Toublan, and G. Wanders, Phys. Rev. D 53, 2362 (1996).
[45] J. L. Basdevant, C. D. Froggat, and J. L. Petersen, Nucl. Phys. B72, 413 (1974); J. L. Basdevant, P. Chapelle, C. López, and M. Sigelle, ibid. B98, 285 (1975); C. D. Froggat and J. L. Petersen, ibid. B129, 89 ~1977!; J. L. Petersen, The pp interaction, CERN Yellow Report No. 77-04 (1977).
[46] T. T. Wu and C. N. Yang, Phys. Rev. Lett. 13, 380 (1964).
[47] J. Gasser and U.-G. Meissner, Phys. Lett. B 258, 129 (1991).
[48] M. Boglione and M. R. Pennington, Report No. DTP-96/60, hep-ph/9607266.