Generalized Weinberg sum rules in deconstructed QCD

Journal of High Energy Physics

Volumn 8, Issue 6, 2004, Pages 83-94

  Chivukula, R Sekhar ^a   Kurachi, Masafumi ^b   Tanabashi, Masaharu ^c  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b NAGOYA UNIVERSITY   (Japan)

^c TOHOKU UNIVERSITY   (Japan)

Author keywords

Higgs Physics; QCD; Sum Rules; Technicolor and Composite Models

Indexed keywords

EID: 23044492162     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/06/004     Document Type: Article

References (45)

1. M. Bando, T. Kugo, S. Uehara, K. Yamawaki and T. Yanagida, Is rho meson a dynamical gauge boson of hidden local symmetry?, Phys. Rev. Lett. 54 (1985) 1215.
2. M. Bando, T. Kugo and K. Yamawaki, On the vector mesons as dynamical gauge bosons of hidden local symmetries, Nucl. Phys. B 259 (1985) 493.
3. M. Bando, T. Fujiwara and K. Yamawaki, Generalized hidden local symmetry and the al meson, Prog. Theor. Phys. 79 (1988) 1140.
4. M. Bando, T. Kugo and K. Yamawaki, Nonlinear realization and hidden local symmetries, Phys. Rept. 164 (1988) 217.
5. M. Harada and K. Yamawaki, Hidden local symmetry at loop: a new perspective of composite gauge boson and chiral phase transition, Phys. Rept. 381 (2003) 1 [hep-ph/0302103].
6. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200].
7. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
8. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
9. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
10. N. Arkani-Hamed, A.G. Cohen and H. Georgi, (de)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005].
11. C.T. Hill, S. Pokorski and J. Wang, Gauge invariant effective lagrangian for Kaluza-Klein modes, Phys. Rev. D 64 (2001) 105005 [hep-th/0104035].
12. D.T. Son and M.A. Stephanov, QCD and dimensional deconstruction, Phys. Rev. D 69 (2004) 065020 [hep-ph/0304182].
13. H. Georgi, A tool kit for builders of composite models, Nucl. Phys. B 266 (1986) 274.
14. S. Weinberg, Precise relations between the spectra of vector and axial vector mesons, Phys. Rev. Lett. 18 (1967) 507;
15. C.W. Bernard, A. Duncan, J. LoSecco and S. Weinberg, Exact spectral function sum rules, Phys. Rev. D 12 (1975) 792.
16. c, Phys. Lett. B 521 (2001) 47 [hep-ph/0108025].
17. J. Hirn and J. Stern, The role of spurious in Higgs-Less electroweak effective theories, hep-ph/0401032.
18. M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, QCD and resonance physics. Sum rules, Nucl. Phys. B 147 (1979) 385.
19. c limit of QCD-like theories, Phys. Lett. B 424 (1998) 335 [hep-ph/9712457].
20. N. Arkani-Hamed, A.G. Cohen and H. Georgi, Electroweak symmetry breaking from dimensional deconstruction, Phys. Lett. B 513 (2001) 232 [hep-ph/0105239].
21. N. Arkani-Hamed, A.G. Cohen, T. Gregoire and J.G. Wacker, Phenomenology of electroweak symmetry breaking from theory space, J. High Energy Phys. 08 (2002) 020 [hep-ph/0202089].
22. G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
23. I. Bars, M.B. Halpern and K.D. Lane, Hadronic origin of the pion mass, Nucl. Phys. B 65 (1973) 518.
24. J. Gasser and H. Leutwyler, Chiral perturbation theory to one loop, Ann. Phys. (NY) 158 (1984) 142.
25. J. Gasser and H. Leutwyler, Chiral perturbation theory: expansions in the mass of the strange quark, Nucl. Phys. B 250 (1985) 465.
26. M.E. Peskin and T. Takeuchi, A new constraint on a strongly interacting Higgs sector, Phys. Rev. Lett. 65 (1990) 964.
27. B. Holdom and J. Terning, Large corrections to electroweak parameters in technicolor theories, Phys. Lett. B 247 (1990) 88.
28. M. Golden and L. Randall, Radiative corrections to electroweak parameters in technicolor theories, Nucl. Phys. B 361 (1991) 3.
29. M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381.
30. C. Csáki, C. Grojean, H. Murayama, L. Pilo and J. Terning, Gauge theories on an interval: unitarity without a Higgs, Phys. Rev. D 69 (2004) 055006 [hep-ph/0305237].
31. C. Csáki, C. Grojean, L. Pilo and J. Terning, Towards a realistic model of higgsless electroweak symmetry breaking, Phys. Rev. Lett. 92 (2004) 101802 [hep-ph/0308038].
32. R. Barbieri, A. Pomarol and R. Rattazzi, Weakly coupled higgsless theories and precision electroweak tests, Phys. Lett. B 591 (2004) 141 [hep-ph/0310285].
33. R. Foadi, S. Gopalakrishna and C. Schmidt, Higgsless electroweak symmetry breaking from theory space, J. High Energy Phys. 03 (2004) 042 [hep-ph/0312324].
34. G. Cacciapaglia, C. Csáki, C. Grojean and J. Terning, Oblique corrections from higgsless models in warped space, hep-ph/0401160.
35. R. Sekhar Chivukula, D.A. Dicus and H.-J. He, Unitarity of compactified five dimensional Yang-Mills theory, Phys. Lett. B 525 (2002) 175 [hep-ph/0111016].
36. R.S. Chivukula and H.-J. He, Unitarity of deconstructed five-dimensional Yang-Mills theory, Phys. Lett. B 532 (2002) 121 [hep-ph/0201164].
37. D.A. Dicus and V.S. Mathur, Upper bounds on the values of masses in unified gauge theories, Phys. Rev. D 7 (1973) 3111.
38. J.M. Cornwall, D.N. Levin and G. Tiktopoulos, Uniqueness of spontaneously broken gauge theories, Phys. Rev. Lett. 30 (1973) 1268.
39. J.M. Cornwall, D.N. Levin and G. Tiktopoulos, Derivation of gauge invariance from high-energy unitarity bounds on the S-matrix, Phys. Rev. D 10 (1974) 1145.
40. B.W. Lee, C. Quigg and H.B. Thacker, The strength of weak interactions at very high-energies and the Higgs boson mass, Phys. Rev. Lett. 38 (1977) 883.
41. B.W. Lee, C. Quigg and H.B. Thacker, Weak interactions at very high-energies: the role of the Higgs boson mass, Phys. Rev. D 16 (1977) 1519.
42. M.J.G. Veltman, Second threshold in weak interactions, Acta Phys. Polon. B8 (1977) 475.
43. T. Das, G.S. Guralnik, V.S. Mathur, F.E. Low and J.E. Young, Electromagnetic mass difference of pions, Phys. Rev. Lett. 18 (1967) 759.
44. M. Harada, M. Tanabashi and K. Yamawaki, π+π0 mass difference in the hidden local symmetry: a dynamical origin of little Higgs, Phys. Lett. B 568 (2003) 103 [hep-ph/0303193].
45. C. Vafa and E. Witten, Restrictions on symmetry breaking in vector - like gauge theories, Nucl. Phys. B 234 (1984) 173.