Topological physics of little Higgs bosons

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 75, Issue 11, 2007, Pages

  Hill, Christopher T ^a   Hill, Richard J ^a  

^a FERMI NATIONAL ACCELERATOR LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34347392681     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.75.115009     Document Type: Article

References (37)

1. D.B. Kaplan and H. Georgi, Phys. Lett. B 136, 183 (1984); PYLBAJ 0370-2693 10.1016/0370-2693(84)91177-8
2. D.B. Kaplan, H. Georgi, and S. Dimopoulos, Phys. Lett. B 136, 187 (1984); PYLBAJ 0370-2693 10.1016/0370-2693(84)91178-X
3. H. Georgi, D.B. Kaplan, and P. Galison, Phys. Lett. B 143, 152 (1984); PYLBAJ 0370-2693 10.1016/0370-2693(84)90823-2
4. H. Georgi and D.B. Kaplan, Phys. Lett. B 145, 216 (1984); PYLBAJ 0370-2693 10.1016/0370-2693(84)90341-1
5. M.J. Dugan, H. Georgi, and D.B. Kaplan, Nucl. Phys. NUPBBO 0550-3213 B254, 299 (1985). 10.1016/0550-3213(85)90221-4
6. N. Arkani-Hamed, A.G. Cohen, and H. Georgi, Phys. Lett. B 513, 232 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(01)00741-9
7. N. Arkani-Hamed, A.G. Cohen, E. Katz, A.E. Nelson, T. Gregoire, and J.G. Wacker, J. High Energy Phys. JHEPFG 1029-8479 08 (2002) 021. 10.1088/1126-6708/2002/08/021
8. J. Wess and B. Zumino, Phys. Lett. B 37, 95 (1971). PYLBAJ 0370-2693 10.1016/0370-2693(71)90582-X
9. E. Witten, Nucl. Phys. NUPBBO 0550-3213 B223, 422 (1983). 10.1016/0550-3213(83)90063-9
10. J.S. Bell and R. Jackiw, Nuovo Cimento A NCIAAT 0369-3546 60, 47 (1969).
11. S.L. Adler, Phys. Rev. 177, 2426 (1969). PHRVAO 0031-899X 10.1103/PhysRev.177.2426
12. W.A. Bardeen, Phys. Rev. 184, 1848 (1969). PHRVAO 0031-899X 10.1103/PhysRev.184.1848
13. O. Kaymakcalan, S. Rajeev, and J. Schechter, Phys. Rev. D 30, 594 (1984). PRVDAQ 0556-2821 10.1103/PhysRevD.30.594
14. A. Manohar and G.W. Moore, Nucl. Phys. NUPBBO 0550-3213 B243, 55 (1984). 10.1016/0550-3213(84)90385-7
15. H. Kawai and S.H.H. Tye, Phys. Lett. B 140, 403 (1984). PYLBAJ 0370-2693 10.1016/0370-2693(84)90780-9
16. C.T. Hill, Phys. Rev. D 73, 126009 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.73.126009
17. C.T. Hill Phys. Rev. D 73, 085001 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.73.085001
18. C.T. Hill and C.K. Zachos, Phys. Rev. D 71, 046002 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.046002
19. D.E. Kaplan and M. Schmaltz, J. High Energy Phys. JHEPFG 1029-8479 10 (2003) 039. 10.1088/1126-6708/2003/10/039
20. C.T. Hill and R.J. Hill, arXiv:0705.0697;
21. C.T. Hill and R.J. Hill (unpublished).
22. H.C. Cheng and I. Low, J. High Energy Phys. JHEPFG 1029-8479 09 (2003) 051. 10.1088/1126-6708/2003/09/051
23. N. Arkani-Hamed, A.G. Cohen, E. Katz, and A.E. Nelson, J. High Energy Phys. JHEPFG 1029-8479 07 (2002) 034. 10.1088/1126-6708/2002/07/034
24. S.L. Adler and W.A. Bardeen, Phys. Rev. 182, 1517 (1969). PHRVAO 0031-899X 10.1103/PhysRev.182.1517
25. Alternatively, Eqs. 7 19 can be derived from the Yang-Mills Chern-Simons term and the Bardeen countertyerm in a D=5 Yang-Mills theory compactified on S1 where A5 is identified with the mesons.
26. S.R. Coleman, J. Wess, and B. Zumino, Phys. Rev. 177, 2239 (1969); PHRVAO 0031-899X 10.1103/PhysRev.177.2239
27. C.G. Callan, S.R. Coleman, J. Wess, and B. Zumino, Phys. Rev. 177, 2247 (1969). PHRVAO 0031-899X 10.1103/PhysRev.177.2247
28. The global structure of the NGB manifold in this case (a submanifold of SU(3)) allows an arbitrary integer coefficient, N, for the WZW term. However, the natural UV theory in this physical picture has AR coupled to a right-handed fermion doublet. For this theory to be free of discrete anomalies there should be an even number of such doublets, and therefore an even number of colors. This is related to a factor of 2 advocated by the authors of in cases where the unbroken subgroup H, e.g. H=SU(2), has π4(H)=Z2. With the global structure defined by the direct construction based on S5, a factor of 2 is enforced automatically.
29. For a geometrical description of such identities, see.
30. Having identified an anomaly-free embedding of the unbroken subgroup, and the anomalous gauge variation of the full action, we can work in the opposite direction to reconstruct the gauged WZW term by integration. The nonuniqueness of the WZW term will be reflected in a choice of boundary condition for this construction.
31. J. Gasser and H. Leutwyler, Nucl. Phys. NUPBBO 0550-3213 B250, 465 (1985); 10.1016/0550-3213(85)90492-4
32. A.J. Buras, A. Poschenrieder, S. Uhlig, and W.A. Bardeen, J. High Energy Phys. JHEPFG 1029-8479 11 (2006) 062. 10.1088/1126-6708/2006/11/062
33. As noted in, Eq. 49 is the gauge variation of a Lagrangian with two sets of Weyl fermions, ΨL and ΨR, coupled, respectively, to the restricted set of gauge fields AV-AA and AV+AA. However, Eq. 49 would describe only a subset of the anomalies for such a fermion theory. Using trace identities arising from the anomaly-free embedding of SO(5) inside of SU(5) (e.g., Tr[ V(dAV)2]=0, Tr[ A(dAAdAV+dAVdAA)]=0,...), 49 actually gives precisely the non-Abelian anomaly for one set of Weyl fermions.
34. E. Witten, Phys. Lett. B 117, 324 (1982). PYLBAJ 0370-2693 10.1016/0370-2693(82)90728-6
35. E. D'Hoker and S. Weinberg, Phys. Rev. D 50, R6050 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.50.R6050
36. C.M. Hull and B.J. Spence, Nucl. Phys. NUPBBO 0550-3213 B353, 379 (1991). 10.1016/0550-3213(91)90342-U
37. C.S. Chu, P.M. Ho, and B. Zumino, Nucl. Phys. NUPBBO 0550-3213 B475, 484 (1996). 10.1016/0550-3213(96)00322-7