Vacuum stability conditions from copositivity criteria

European Physical Journal C

Volumn 72, Issue 7, 2012, Pages 1-7

  Kannike, Kristjan ^a,b  

^a SCUOLA NORMALE SUPERIORE   (Italy)

^b NATIONAL INSTITUTE OF CHEMICAL PHYSICS AND BIOPHYSICS   (Estonia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84864237647     PISSN: 14346044     EISSN: 14346052     Source Type: Journal    
DOI: 10.1140/epjc/s10052-012-2093-z     Document Type: Article

References (57)

1. J. Casas, J. Espinosa, M. Quiros, Phys. Lett. B 342, 171 (1995). hep-ph/9409458.
2. J. Casas, J. Espinosa, M. Quiros, Phys. Lett. B 382, 374 (1996). hep-ph/9603227.
3. G. Isidori, G. Ridolfi, A. Strumia, Nucl. Phys. B 609, 387 (2001). hep-ph/0104016.
4. G. Isidori, V. S. Rychkov, A. Strumia et al., Phys. Rev. D 77, 025034 (2008). 0712. 0242.
5. J. Elias-Miro, J. R. Espinosa, G. F. Giudice et al., Phys. Lett. B 709, 222 (2012). 1112. 3022.
6. M. Kadastik, K. Kannike, A. Racioppi et al., J. High Energy Phys. 1205, 061 (2012). 1112. 3647.
7. M. Gonderinger, H. Lim, M. J. Ramsey-Musolf, 1202. 1316 (2012).
8. J. Elias-Miro, J. R. Espinosa, G. F. Giudice et al., J. High Energy Phys. 1206, 031 (2012). 1203. 0237.
9. O. Lebedev, Eur. Phys. J. C 72, 1 (2012). 1203. 0156.
10. C.-S. Chen, Y. Tang, J. High Energy Phys. 1204, 019 (2012). 1202. 5717.
11. C. Cheung, M. Papucci, K. M. Zurek, 1203. 5106 (2012).
12. T. S. Motzkin, in National Bureau of Standards Report 1818 (1952), pp. 11-22.
13. A. J. Quist, E. de Klerk, C. Roos et al., Optim. Methods Softw. 9, 9 (1998).
14. M. Dür, in Recent Advances in Optimization and Its Applications in Engineering, ed. by M. Diehl, F. Glineur, E. Jarlebring et al. (Springer, Berlin, 2010), pp. 3-20.
15. K. Murty, S. Kabadi, Math. Program. 39, 117 (1987). doi: 10. 1007/BF02592948.
16. K. Ikramov, N. Savel'eva, J. Math. Sci. 98, 1 (2000).
17. J.-B. Hiriart-Urruty, A. Seeger, SIAM Rev. 52(4), 593 (2010).
18. S. Bundfuss, Copositive Matrices, Copositive Programming, and Applications. Ph. D. thesis, TU Darmstadt, 2009.
19. I. M. Bomze, Eur. J. Oper. Res. 216(3), 509 (2012).
20. N. G. Deshpande, E. Ma, Phys. Rev. D 18, 2574 (1978).
21. R. Barbieri, L. J. Hall, V. S. Rychkov, Phys. Rev. D 74, 015007 (2006). hep-ph/0603188.
22. E. Ma, Phys. Rev. D 73, 077301 (2006). hep-ph/0601225.
23. L. Lopez Honorez, E. Nezri, J. F. Oliver et al., J. Cosmol. Astropart. Phys. 0702, 028 (2007). hep-ph/0612275.
24. J. McDonald, Phys. Rev. D 50, 3637 (1994). hep-ph/0702143.
25. V. Barger, P. Langacker, M. McCaskey et al., Phys. Rev. D 79, 015018 (2009). 0811. 0393.
26. M. Kadastik, K. Kannike, M. Raidal, Phys. Rev. D 81, 015002 (2010). 0903. 2475.
27. M. Kadastik, K. Kannike, M. Raidal, Phys. Rev. D 80, 085020 (2009). 0907. 1894.
28. G. T. Gilber, Am. Math. Mon. 98(1), 44 (1991).
29. P. H. Diananda, Math. Proc. Camb. Philos. Soc. 58(01), 17 (1962).
30. W. Kaplan, Linear Algebra Appl. 337(1-3), 237 (2001).
31. K. Hadeler, Linear Algebra Appl. 49, 79 (1983).
32. G. Chang, T. W. Sederberg, Comput. Aided Geom. Des. 11(1), 113 (1994).
33. L. Ping, F. Y. Yu, Linear Algebra Appl. 194, 109 (1993).
34. L.-E. Andersson, G. Chang, T. Elfving, Linear Algebra Appl. 220, 9 (1995).
35. R. Cottle, G. Habetler, C. Lemke, Linear Algebra Appl. 3(3), 295 (1970).
36. W. Kaplan, Linear Algebra Appl. 313(1-3), 203 (2000).
37. I. M. Bomze, in Proc. 12th SOR (Methods in OR 58), ed. by P. Kleinschmidt, F. Radermacher (Atheneum, Frankfurt/Main, 1989), pp. 27-35.
38. I. M. Bomze, Linear Algebra Appl. 248, 161 (1996).
39. S. Bundfuss, M. Dür, Linear Algebra Appl. 428(7), 1511 (2008).
40. T. D. Lee, Phys. Rev. D 8, 1226 (1973).
41. G. C. Branco, Phys. Rev. D 22, 2901 (1980).
42. G. Branco, P. Ferreira, L. Lavoura et al., 1106. 0034 (2011).
43. I. F. Ginzburg, M. Krawczyk, Phys. Rev. D 72, 115013 (2005). hep-ph/0408011.
44. K. Klimenko, Theor. Math. Phys. 62, 58 (1985).
45. S. Nie, M. Sher, Phys. Lett. B 449, 89 (1999). hep-ph/9811234.
46. S. Kanemura, T. Kasai, Y. Okada, Phys. Lett. B 471, 182 (1999). hep-ph/9903289.
47. M. Maniatis, A. von Manteuffel, O. Nachtmann et al., Eur. Phys. J. C 48, 805 (2006). hep-ph/0605184.
48. I. Ivanov, Phys. Rev. D 75, 035001 (2007). hep-ph/0609018.
49. P. A. Parrilo, Math. Program. 96, 293 (2003). doi: 10. 1007/s10107-003-0387-5.
50. V. Silveira, A. Zee, Phys. Lett. B 161, 136 (1985).
51. C. P. Burgess, M. Pospelov, T. ter Veldhuis, Nucl. Phys. B 619, 709 (2001). hep-ph/0011335.
52. V. Barger, P. Langacker, M. McCaskey et al., Phys. Rev. D 77, 035005 (2008). 0706. 4311.
53. M. Gonderinger, Y. Li, H. Patel et al., J. High Energy Phys. 1001, 053 (2010). 0910. 3167.
54. V. Barger, M. McCaskey, G. Shaughnessy, Phys. Rev. D 82, 035019 (2010). 1005. 3328.
55. M. Kadastik, K. Kannike, A. Racioppi et al., Phys. Rev. Lett. 104, 201301 (2010). 0912. 2729.
56. M. Kadastik, K. Kannike, A. Racioppi et al., Phys. Lett. B 694, 242 (2010). 0912. 3797.
57. G. Belanger, K. Kannike, A. Pukhov et al., 1202. 2962 (2012).