Abstract
Minimizing the Higgs potential is an essential task in any model involving Higgs bosons. Exact minimization methods proposed in the literature are based on the polynomial form of the potential. These methods will in general no longer work if loop contributions to the potential are taken into account. We present a method to keep the tree level global minimum unchanged in passing to the effective potential. We illustrate the method for the case of the Minimal Supersymmetric Model (MSSM).
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References
R. Santos, Nuovo Cimento C 33, 177 (2010).
E. Ma, Phys. Lett. B 705, 320 (2011) arXiv:1108.4029 [hep-ph].
P.M. Ferreira, R. Santos, M. Sher, J.P. Silva, Phys. Rev. D 85, 077703 (2012) arXiv:1112.3277 [hep-ph].
W. Mader, J.-h. Park, G.M. Pruna, D. Stockinger, A. Straessner, JHEP 09, 125 (2012) arXiv:1205.2692 [hep-ph].
M. Maniatis, O. Nachtmann, JHEP 05, 028 (2009) arXiv:0901.4341 [hep-ph].
M. Maniatis, O. Nachtmann, JHEP 04, 027 (2010) arXiv:0912.2727 [hep-ph].
J. Brehmer, V. Lendermann, M. Maniatis, O. Nachtmann, H.-C. Schultz-Coulon, R. Stamen, Eur. Phys. J. C 73, 2380 (2013) arXiv:1209.2537 [hep-ph].
J.R. Espinosa, C. Grojean, M. Muhlleitner, M. Trott, JHEP 05, 097 (2012) arXiv:1202.3697 [hep-ph].
A. Arbey, A. Deandrea, F. Mahmoudi, A. Tarhini, Phys. Rev. D 87, 115020 (2013) arXiv:1304.0381 [hep-ph].
M. Krawczyk, D. Sokolowska, B. Swiezewska, arXiv:1303.7102 [hep-ph].
P. Bechtle, S. Heinemeyer, O. Stål, T. Stefaniak, G. Weiglein, HiggsSignals: Confronting arbitrary Higgs sectors with measurements at the Tevatron and the LHC, arXiv:1305.1933 [hep-ph].
G.C. Branco, P.M. Ferreira, L. Lavoura, M.N. Rebelo, M. Sher, J.P. Silva, Phys. Rep. 516, 1 (2012) arXiv:1106.0034 [hep-ph].
M. Maniatis, A. von Manteuffel, O. Nachtmann, Eur. Phys. J. C 49, 1067 (2007) arXiv:hep-ph/0608314.
M. Maniatis, D. Mehta, Eur. Phys. J. Plus 127, 91 (2012) arXiv:1203.0409 [hep-ph].
D. Mehta, Ph.D. Thesis, The University of Adelaide, Australasian Digital Theses Program (2009).
D. Mehta, A. Sternbeck, L. von Smekal, A. GWilliams, PoS QCD -TNT09, 025 (2009) arXiv:0912.0450 [hep-lat].
D. Mehta, Phys. Rev. E 84, 025702 (2011) arXiv:1104.5497 [cond-mat.stat-mech].
M. Maniatis, Int. J. Mod. Phys. A 25, 3505 (2010) arXiv:0906.0777.
U. Ellwanger, C. Hugonie, A.M. Teixeira, Phys. Rep. 496, 1 (2010) arXiv:0910.1785.
S.P. Martin, A Supersymmetry primer, Perspectives on supersymmetry II, edited by G.L. Kane (1997) arXiv:hep-ph/9709356.
R.A. Battye, G.D. Brawn, A. Pilaftsis, JHEP 08, 020 (2011) arXiv:1106.3482 [hep-ph].
A. Degee, I.P. Ivanov, V. Keus, JHEP 02, 125 (2013) arXiv:1211.4989 [hep-ph].
G. Gamberini, G. Ridolfi, F. Zwirner, Nucl. Phys. B 331, 331 (1990).
B. de Carlos, J.A. Casas, Phys. Lett. B 309, 320 (1993) arXiv:hep-ph/9303291.
J.A. Casas, A. Lleyda, C. Munoz, Nucl. Phys. B 471, 3 (1996) hep-ph/9507294.
J.E. Camargo-Molina, B. O'Leary, W. Porod, F. Staub, The Stability Of R-Parity In Supersymmetric Models Extended By U(1) B-L , arXiv:1212.4146 [hep-ph].
S.R. Coleman, E.J. Weinberg, Phys. Rev. D 7, 1888 (1973).
M.S. Carena, J.R. Ellis, A. Pilaftsis, C.E.M. Wagner, Nucl. Phys. B 586, 92 (2000) hep-ph/0003180.
F. Nagel, New aspects of gauge-boson couplings and the Higgs sector (2004) http://www.slac.stanford.edu/spires/find/hep/www?irn=6461018.
M. Maniatis, A. von Manteuffel, O. Nachtmann, F. Nagel, Eur. Phys. J. C 48, 805 (2006) arXiv:hep-ph/0605184.
C.C. Nishi, Phys. Rev. D 74, 036003 (2006) 76.
A. Barroso, P.M. Ferreira, I.P. Ivanov, R. Santos, JHEP 06, 045 (2013) arXiv:1303.5098 [hep-ph].
B.C. Allanach, Comput. Phys. Commun. 143, 305 (2002) arXiv:hep-ph/0104145.
G.M. Greuel, G. Pfister, H. Schoenemann, SINGULAR - A Computer Algebra System for Polynomial Computations, Symbolic Computation and Automated Reasoning, edited by M. Kerber, M. Kohlhase, (2001) p. 227, SINGULAR is available at http://www.singular.uni-kl.de.
M.J.D. Powell, Acta Numer. 7, 287 (1998).
S.G. Johnson, The NLopt nonlinear-optimization package, available at http://ab-initio.mit.edu/nlopt.
J.A. Casas, J.R. Espinosa, M. Quiros, A. Riotto, Nucl. Phys. B 436, 3 (1995) 439.
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Maniatis, M., Mehta, D. On exact minimization of Higgs potentials. Eur. Phys. J. Plus 129, 109 (2014). https://doi.org/10.1140/epjp/i2014-14109-0
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DOI: https://doi.org/10.1140/epjp/i2014-14109-0