Chiral condensates, Q7 and Q8 matrix elements and large-Nc QCD

Journal of High Energy Physics

Volumn 8, Issue 10, 2004, Pages 951-974

  Friot, Samuel ^a   Greynat, David ^a   De Rafael, Eduardo ^a,b,c  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^c INSTITUCIÓ CATALANA DE RECERCA I ESTUDIS AVANÇATS ICREA   (Spain)

Author keywords

1 N Expansion; Nonperturbative Effects; QCD

Indexed keywords

EID: 23044443071     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. c limit of QCD-like theories, Phys. Lett. B 424 (1998) 335 [hep-ph/9712457].
2. c expansion, Phys. Lett. B 443 (1998) 255 [hep-ph/9809594].
3. C expansion, Phys. Lett. B 457 (1999) 227 [hep-ph/9812471].
4. 3/2 in the chiral limit, Phys. Lett. B 478 (2000) 172 [hep-ph/9911309].
5. V. Cirigliano, J.F. Donoghue and E. Golowich, Dimension-eight operators in the weak OPE, J. High Energy Phys. 10 (2000) 048 [hep-ph/0007196].
6. 8 matrix elements, Phys. Lett. B 508 (2001) 117 [hep-ph/0102017].
7. 2.)., Eur. Phys. J. C 4 (1998) 409.
8. s and the vector and axial vector spectral functions in hadronic τ decays, Eur. Phys. J. C 7 (1999) 571.
9. M. Davier, L. Girlanda, A. Höcker and J. Stern, Finite energy chiral sum rules and τ spectral functions, Phys. Rev. D 58 (1998) 096014 [hep-ph/9802447].
10. c QCD from hadronic τ decay, Phys. Rev. Lett. 86 (2001) 14 [hep-ph/0007338].
11. 2-plane from τ decay data, Nucl. Phys. A 687 (2001) 437 [hep-ph/0010089].
12. 8 and spectral correlators, J. High Energy Phys. 10 (2001) 009 [hep-ph/0108240].
13. V. Cirigliano, E. Golowich and K. Maltman, QCD condensates for the light quark V-A correlator, Phys. Rev. D 68 (2003) 054013 [hep-ph/0305118].
14. J. Rojo and J.I. Latorre, Neural network parametrization of spectral functions from hadronic tau decays and determination of QCD vacuum condensates, J. High Energy Phys. 01 (2004) 055 [hep-ph/0401047].
15. K.N. Zyablyuk, V-A sum rules with D = 10 operators, hep-ph/0404230.
16. M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, QCD and resonance physics. Sum rules, Nucl. Phys. B 147 (1979) 385.
17. c QCD and spontaneous chiral symmetry breaking, Nucl. Phys. 74 (Proc. Suppl.) (1999) 399 [hep-ph/9811491].
18. J. Gasser and H. Leutwyler, Chiral perturbation theory: expansions in the mass of the strange quark, Nucl. Phys. B 250 (1985) 465.
19. G. Ecker, J. Gasser, A. Pich and E. de Rafael, The role of resonances in chiral perturbation theory, Nucl. Phys. B 321 (1989) 425.
20. G. Ecker, J. Gasser, H. Leutwyler, A. Pich and E. de Rafael, Chiral lagrangians for massive spin I fields, Phys. Lett. B 223 (1989) 425.
21. E. Witten, Some inequalities among hadron masses, Phys. Rev. Lett. 51 (1983) 2351.
22. E. de Rafael, An introduction to sum rules in QCD, hep-ph/9802448.
23. F.R. Gantmacher, Applications of the Theory of Matrices, Interscience Pub., New York 1959.
24. PARTICLE DATA GROUP collaboration, K. Hagiwara et al., Review of particle physics, Phys. Rev. D 66 (2002) 010001.
25. J. Bijnens, G. Ecker and J. Gasser, The second DAΦNE physics handbook, hep-ph/9411232.
26. A. Höcker, H. Lacker, S. Laplace and F. Le Diberder, A new approach to a global fit of the CKM matrix, Eur. Phys. J. C 21 (2001) 225 [hep-ph/0104062].
27. c QCD, J. High Energy Phys. 05 (1998) Oil [hep-ph/9805442].
28. 7,8\K0〉 in the chiral limit, Phys. Lett. B 522 (2001) 245 [hep-ph/0109113].
29. V. Cirigliano, J.F. Donoghue, E. Golowich and K. Maltman, Improved determination of the electroweak penguin contribution to ε′/ε in the chiral limit, Phys. Lett. B 555 (2003) 71 [hep-ph/0211420].
30. S. Narison, New QCD-estimate of the kaon penguin matrix elements and ε′/ε, Nucl. Phys. B 593 (2001) 3 [hep-ph/0004247].
31. RBC collaboration, T. Blum et al., Kaon matrix elements and CP-violation from quenched lattice QCD, I. The 3-flavor case, Phys. Rev. D 68 (2003) 114506 [hep-lat/0110075].
32. CP-PACS collaboration, J.I. Noaki et al., Calculation of non-leptonic kaon decay amplitudes from K → π matrix elements in quenched domain-wall QCD, Phys. Rev. D 68 (2003) 014501 [hep-lat/0108013].
33. SPQCDR collaboration, D. Becirevic et al., Kaon weak matrix elements with Wilson fermions, Nucl. Phys. 119 (Proc. Suppl.) (2003) 359 [hep-lat/0209136].
34. A. Donini, V. Gimenez, L. Giusti and G. Martinelli, Renormalization group invariant matrix elements of ΔS = 2 and ΔI = 3/2 four-fermion operators without quark masses, Phys. Lett. B 470 (1999) 233 [hep-lat/9910017].
35. T. Bhattacharya et al., Weak matrix elements for CP violation, Nucl. Phys. 106 (Proc. Suppl.) (2002) 311.
36. J.F. Donoghue, Matching light quarks to hadrons, talk at the Benasque Workshop, 2004, to be published.