Skip to Main Content

Access Provided by Xinjiang University

Physical Review D

Access by Xinjiang University

New measure of fine tuning

Peter Athron and D. J. Miller

Department of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom

Phys. Rev. D 76, 075010 – Published 17 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.075010

Abstract

The solution to fine tuning is one of the principal motivations for beyond the standard model (BSM) studies. However constraints on new physics indicate that many of these BSM models are also fine-tuned (although to a much lesser extent). To compare these BSM models it is essential that we have a reliable, quantitative measure of tuning. We review the measures of tuning used in the literature and propose an alternative measure. We apply this measure to several toy models and the minimal supersymmetric standard model.

Article Text

References (53)

S. P. Martin, arXiv:hep-ph/9709356.
W. M. Yao et al. (Particle Data Group), J. Phys. G 33, 1 (2006).
S. Chang, P. J. Fox, and N. Weiner, J. High Energy Phys. 08 (2006) 068.
K. Choi, K. S. Jeong, and K. I. Okumura, J. High Energy Phys. 09 (2005) 039.
Y. Nomura and B. Tweedie, Phys. Rev. D 72, 015006 (2005).
K. Choi, K. S. Jeong, T. Kobayashi, and K. I. Okumura, Phys. Lett. B 633, 355 (2006).
R. Kitano and Y. Nomura, Phys. Lett. B 631, 58 (2005).
O. Lebedev, H. P. Nilles, and M. Ratz, arXiv:hep-ph/0511320.
R. Kitano and Y. Nomura, Phys. Rev. D 73, 095004 (2006).
S. Chang, L. J. Hall, and N. Weiner, Phys. Rev. D 75, 035009 (2007).
J. A. Casas, J. R. Espinosa, and I. Hidalgo, J. High Energy Phys. 03 (2005) 038.
Z. Chacko, H. S. Goh, and R. Harnik, Phys. Rev. Lett. 96, 231802 (2006).
Z. Chacko, H. S. Goh, and R. Harnik, J. High Energy Phys. 01 (2006) 108.
R. Barbieri and G. F. Giudice, Nucl. Phys. B306, 63 (1988).
J. R. Ellis, K. Enqvist, D. V. Nanopoulos, and F. Zwirner, Mod. Phys. Lett. A 1, 57 (1986).
B. de Carlos and J. A. Casas, Phys. Lett. B 309, 320 (1993).
B. de Carlos and J. A. Casas, arXiv:hep-ph/9310232.
P. H. Chankowski, J. R. Ellis, and S. Pokorski, Phys. Lett. B 423, 327 (1998).
K. Agashe and M. Graesser, Nucl. Phys. B507, 3 (1997).
D. Wright, arXiv:hep-ph/9801449.
G. L. Kane and S. F. King, Phys. Lett. B 451, 113 (1999).
M. Bastero-Gil, G. L. Kane, and S. F. King, Phys. Lett. B 474, 103 (2000).
J. L. Feng, K. T. Matchev, and T. Moroi, Phys. Rev. D 61, 075005 (2000).
B. C. Allanach, J. P. J. Hetherington, M. A. Parker, and B. R. Webber, J. High Energy Phys. 08 (2000) 017.
B. C. Allanach, Phys. Lett. B 635, 123 (2006).
T. Kobayashi, H. Terao, and A. Tsuchiya, Phys. Rev. D 74, 015002 (2006).
R. Dermisek and J. F. Gunion, Phys. Rev. Lett. 95, 041801 (2005).
R. Barbieri and L. J. Hall, arXiv:hep-ph/0510243.
R. Barbieri, L. J. Hall, and V. S. Rychkov, Phys. Rev. D 74, 015007 (2006).
B. Gripaios and S. M. West, Phys. Rev. D 74, 075002 (2006).
R. Dermisek, J. F. Gunion, and B. McElrath, Phys. Rev. D 76, 051105 (2007).
G. W. Anderson and D. J. Castano, Phys. Lett. B 347, 300 (1995).
G. W. Anderson and D. J. Castano, Phys. Rev. D 52, 1693 (1995).
G. W. Anderson and D. J. Castano, Phys. Rev. D 53, 2403 (1996).
G. W. Anderson, D. J. Castano, and A. Riotto, Phys. Rev. D 55, 2950 (1997).
J. A. Casas, J. R. Espinosa, and I. Hidalgo, J. High Energy Phys. 01 (2004) 008.
J. A. Casas, J. R. Espinosa, and I. Hidalgo, arXiv:hep-ph/0402017.
J. A. Casas, J. R. Espinosa, and I. Hidalgo, J. High Energy Phys. 11 (2004) 057.
J. A. Casas, J. R. Espinosa, and I. Hidalgo, Nucl. Phys. B777, 226 (2007).
P. Ciafaloni and A. Strumia, Nucl. Phys. B494, 41 (1997).
K. L. Chan, U. Chattopadhyay, and P. Nath, Phys. Rev. D 58, 096004 (1998).
R. Barbieri and A. Strumia, Phys. Lett. B 433, 63 (1998).
L. Giusti, A. Romanino, and A. Strumia, Nucl. Phys. B550, 3 (1999).
P. H. Chankowski, J. R. Ellis, K. A. Olive, and S. Pokorski, Phys. Lett. B 452, 28 (1999).
J. R. Ellis, K. A. Olive, and Y. Santoso, New J. Phys. 4, 32 (2002).
S. F. King and J. P. Roberts, J. High Energy Phys. 09 (2006) 036.
S. F. King and J. P. Roberts, J. High Energy Phys. 01 (2007) 024.
B. C. Allanach, Comput. Phys. Commun. 143, 305 (2002).
V. D. Barger, M. S. Berger, and P. Ohmann, Phys. Rev. D 49, 4908 (1994).
B. C. Allanach et al., Eur. Phys. J. C 25, 113 (2002).
P. H. Chankowski, J. R. Ellis, M. Olechowski, and S. Pokorski, Nucl. Phys. B544, 39 (1999).
G. L. Kane, J. D. Lykken, B. D. Nelson, and L. T. Wang, Phys. Lett. B 551, 146 (2003).
P. C. Schuster and N. Toro, arXiv:hep-ph/0512189.