Anomaly-free sets of fermions
J. Math. Phys. 47, 082301 (2006); doi:10.1063/1.2222081
Published 1 August 2006
You are not logged in to this journal. Log in
We present new techniques for finding anomaly-free sets of fermions. Although the anomaly cancellation conditions typically include cubic equations with integer variables that cannot be solved in general, we prove by construction that any chiral set of fermions can be embedded in a larger set of fermions which is chiral and anomaly-free. Applying these techniques to extensions of the standard model, we find anomaly-free models that have arbitrary quark and lepton charges under an additional U(1) gauge group.
©2006 American Institute of Physics
| History: | Received 9 December 2005; accepted 13 June 2006; published 1 August 2006 |
| Permalink: |
http://link.aip.org/link/?JMAPAQ/47/082301/1 |
REFERENCES (29)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- S. L. Adler,
Phys. Rev. 177, 2426 (1969) ; - J. S. Bell and R. Jackiw,
Nuovo Cimento A 60, 47 (1969) . - W. A. Bardeen,
Phys. Rev. 184, 1848 (1969) . - C. Bouchiat, J. Iliopoulos, and P. Meyer,
Phys. Lett. 38, 519 (1972) ; - H. Georgi and S. L. Glashow, Phys. Rev. D 6, 429 (1972);
- S. L. Adler and W. A. Bardeen,
Phys. Rev. 182, 1517 (1969) . - T. Eguchi, P. B. Gilkey, and A. J. Hanson,
Phys. Rep. 66, 213 (1980) . - E. Witten,
Phys. Lett. 117, 324 (1982) . - C. Q. Geng and R. E. Marshak, Phys. Rev. D 39, 693 (1989);
- J. D. Lykken, T. Montroy, and S. Willenbrock,
Phys. Lett. B 418, 141 (1998) . - E. Eichten, K. Kang, and I.-G. Koh, J. Math. Phys. 23, 2529 (1982).
- L. E. Ibanez and G. G. Ross,
Phys. Lett. B 332, 100 (1994) . - P. Binetruy and P. Ramond,
Phys. Lett. B 350, 49 (1995) ;
V. Jain and R. Shrock, - P. Binetruy and E. Dudas,
Phys. Lett. B 389, 503 (1996) ;
G. R. Dvali and A. Pomarol, Phys. Rev. Lett. 77, 3728 (1996); - T. Appelquist, B. A. Dobrescu, and A. R. Hopper, Phys. Rev. D 68, 035012 (2003).
- K. S. Babu and G. Seidl,
Phys. Lett. B 591, 127 (2004) . - G. K. Leontaris, J. Rizos, and A. Psallidas,
Phys. Lett. B 597, 182 (2004) ;
J.-h. Kang, P. Langacker, and T.-j. Li, Phys. Rev. D 71, 015012 (2005). - H. Davoudiasl, R. Kitano, G. D. Kribs, and H. Murayama, Phys. Rev. D 71, 113004 (2005).
- J. Sayre, S. Wiesenfeldt, and S. Willenbrock, Phys. Rev. D 72, 015001 (2005).
- H.-C. Cheng, B. A. Dobrescu, and K. T. Matchev,
Nucl. Phys. B 543, 47 (1999) ;
J. Erler, - M. B. Green and J. H. Schwarz,
Phys. Lett. 149, 117 (1984) . - L. E. Ibanez,
Phys. Lett. B 303, 55 (1993) . - R. Slansky,
Phys. Rep. 79, 1 (1981) . - P. Langacker, R. W. Robinett, and J. L. Rosner, Phys. Rev. D 30, 1470 (1984);
- M. Carena, A. Daleo, B. A. Dobrescu, and T. M. P. Tait, Phys. Rev. D 70, 093009 (2004).
- M. Ajtai, R. Kumar, and D. Sivakumar, in Proceedings of the 33rd Annual ACM Symposium on Theory of Computing (ACM, New York, 2001) p. 601.
- D. Micciancio,
SIAM J. Comput. 30, 2008 (2001) . - A. K. Lenstra, H. W. Lenstra, Jr., and L. Lovász,
Math. Ann. 261, 515 (1982) . - S. M. Barr, B. Bednarz, and C. Benesh, Phys. Rev. D 34, 235 (1986).
- P. Langacker and M. Plumacher, Phys. Rev. D 62, 013006 (2000);
- M. L. Perl, E. R. Lee, and D. Loomba,
Mod. Phys. Lett. A 19, 2595 (2004) .
C. Q. Geng and R. E. Marshak, ibid. 41, 717 (1990);
P. H. Frampton and R. N. Mohapatra, ibid. 50, 3569 (1994).
E. Dudas, S. Pokorski, and C. A. Savoy,
K. Choi, E. J. Chun, and H. D. Kim,
N. Irges, S. Lavignac, and P. Ramond, Phys. Rev. D 58, 035003 (1998);
K. S. Babu, T. Enkhbat, and I. Gogoladze,
P. H. Chankowski, K. Kowalska, S. Lavignac, and S. Pokorski, Phys. Rev. D 71, 055004 (2005).
B. A. Dobrescu,
H.-C. Cheng, B. A. Dobrescu, and K. T. Matchev,
N. Arkani-Hamed, M. Dine, and S. P. Martin,
D. A. Demir, G. L. Kane, and T. T. Wang, Phys. Rev. D 72, 015012 (2005);
S. M. Barr and I. Dorsner, ibid. 72, 015011 (2005);
M. Cvetic and P. Langacker, ibid. 54, 3570 (1996);
K. I. Izawa, K. Kurosawa, Y. Nomura, and T. Yanagida, ibid. 60, 115016 (1999);
N. Maekawa,







