Abstract
If new physics is found at the LHC (and the ILC) the reconstruction of the underlying theory should not be biased by assumptions about high-scale models. For the map** of many measurements onto high-dimensional parameter spaces we introduce SFitter with its new weighted Markov chain technique. SFitter constructs an exclusive likelihood map, determines the best-fitting parameter point and produces a ranked list of the most likely parameter points. Using the example of the TeV-scale supersymmetric Lagrangian we show how a high-dimensional likelihood map will generally include degeneracies and strong correlations. SFitter allows us to study such model-parameter spaces employing Bayesian as well as frequentist constructions. We illustrate in detail how it should be possible to analyze high-dimensional new-physics parameter spaces like the TeV-scale MSSM at the LHC. A combination of LHC and ILC measurements might well be able to completely cover highly complex TeV-scale parameter spaces.
Similar content being viewed by others
References
S.P. Martin, ar**v:hep-ph/9709356
I.J.R. Aitchison, ar**v:hep-ph/0505105
J.R. Ellis, J.S. Hagelin, D.V. Nanopoulos, K.A. Olive, M. Srednicki, Nucl. Phys. B 238, 453 (1984)
H. Goldberg, Phys. Rev. Lett. 50, 1419 (1983)
G. Bertone, D. Hooper, J. Silk, Phys. Rep. 405, 279 (2005)
D0 Collaboration, V.M. Abazov et al., Phys. Lett. B 638, 119 (2006)
http://www-cdf.fnal.gov/physics/exotic/exotic.html
http://www-d0.fnal.gov/public/new/new_public.html
D. Stöckinger, J. Phys. G 34, R45 (2007)
D.W. Hertzog, J.P. Miller, E. de Rafael, B. Lee Roberts, D. Stöckinger, ar**v:0705.4617 [hep-ph]
L.J. Hall, V.A. Kostelecky, S. Raby, Nucl. Phys. B 267, 415 (1986)
G. D’Ambrosio, G.F. Giudice, G. Isidori, A. Strumia, Nucl. Phys. B 645, 155 (2002)
S. Dittmaier, G. Hiller, T. Plehn, M. Spannowsky, ar**v:0708.0940 [hep-ph]
H. Murayama, Y. Nomura, Phys. Rev. Lett. 98, 151803 (2007)
A. Höcker, H. Lacker, S. Laplace, F. Le Diberder, Eur. Phys. J. C 21, 225 (2001)
J. Charles, A. Höcker, H. Lacker, F.R. Le Diberder, S. T’Jampens, ar**v:hep-ph/0607246
UTfit Collaboration, M. Bona et al., JHEP 0507, 028 (2005)
UTfit Collaboration, M. Bona et al., ar**v:hep-ph/0701204
H. Bachacou, I. Hinchliffe, F.E. Paige, Phys. Rev. D 62, 015009 (2000)
B.C. Allanach, C.G. Lester, M.A. Parker, B.R. Webber, JHEP 0009, 004 (2000)
D.J. Miller, P. Osland, A.R. Raklev, ar**v:hep-ph/0510356
C.G. Lester, M.A. Parker, M.J. White, JHEP 0601, 080 (2006)
C.G. Lester, ar**v:hep-ph/0603171
B.K. Gjelsten, D.J. Miller, P. Osland, JHEP 0412, 003 (2004)
B.K. Gjelsten, D.J. Miller, P. Osland, JHEP 0506, 015 (2005)
M.M. Nojiri, G. Polesello, D.R. Tovey, JHEP 0603, 063 (2006)
A.J. Barr, Phys. Lett. B 596, 205 (2004)
J.M. Smillie, B.R. Webber, JHEP 0510, 069 (2005)
A.J. Barr, JHEP 0602, 042 (2006)
C. Athanasiou, C.G. Lester, J.M. Smillie, B.R. Webber, JHEP 0608, 055 (2006)
A. Alves, O. Eboli, T. Plehn, Phys. Rev. D 74, 095010 (2006)
A. Alves, O. Eboli, T. Plehn, AIP Conf. Proc. 903, 265 (2007)
P. Meade, M. Reece, Phys. Rev. D 74, 015010 (2006)
ECFA/DESY LC Physics Working Group Collaboration, E. Accomando et al., Phys. Rep. 299, 1 (1998)
ECFA/DESY LC Physics Working Group Collaboration, J.A. Aguilar-Saavedra et al., TESLA TDR, report DESY-2001-011C
B.C. Allanach et al., Eur. Phys. J. C 25, 113 (2002)
R. Lafaye, T. Plehn, D. Zerwas, ar**v:hep-ph/0404282
R. Lafaye, T. Plehn, D. Zerwas, ar**v:hep-ph/0512028
P. Bechtle, K. Desch, P. Wienemann, ar**v:hep-ph/0412012
P. Bechtle, K. Desch, W. Porod, P. Wienemann, Eur. Phys. J. C 46, 533 (2006)
D. Hooper, R. Lafaye, T. Plehn, M. Rauch, D. Zerwas, in preparation
LHC/LC Study Group, G. Weiglein et al., Phys. Rep. 426, 47 (2006)
A. Djouadi, J.L. Kneur, G. Moultaka, ar**v:hep-ph/0211331
D.M. Pierce, J.A. Bagger, K.T. Matchev, R.J. Zhang, Nucl. Phys. B 491, 3 (1997)
T. Fritzsche, W. Hollik, Nucl. Phys. Proc. Suppl. 135, 102 (2004)
W. Oller, H. Eberl, W. Majerotto, Phys. Lett. B 590, 273 (2004)
S. Dawson, E. Eichten, C. Quigg, Phys. Rev. D 31, 1581 (1985)
C.G. Lester, M.A. Parker, M.J. White, JHEP 0601, 080 (2006)
A. Freitas, P.Z. Skands, M. Spira, P.M. Zerwas, JHEP 0707, 025 (2007)
W. Beenakker, R. Höpker, M. Spira, P.M. Zerwas, Nucl. Phys. B 492, 51 (1997)
W. Beenakker, M. Krämer, T. Plehn, M. Spira, P.M. Zerwas, Nucl. Phys. B 515, 3 (1998)
W. Beenakker et al., Phys. Rev. Lett. 83, 3780 (1999)
T. Plehn, ar**v:hep-ph/9809319
G. Ganis, msmlib, http://home.cern.ch/ganis/MSMLIB/msmlib.html
M. Mühlleitner, A. Djouadi, Y. Mambrini, ar**v:hep-ph/0311167
A. Djouadi, M.M. Mühlleitner, M. Spira, Acta Phys. Pol. B 38, 635 (2007) [ar**v:hep-ph/0609292]
T. Plehn, D. Rainwater, P. Skands, Phys. Lett. B 645, 217 (2007)
CATPISS Collaboration, K. Hagiwara, F. Krauss, T. Plehn, D. Rainwater, J. Reuter, S. Schumann, W. Kilian, Phys. Rev. D 73, 055005 (2006)
D. Berdine, N. Kauer, D. Rainwater, ar**v:hep-ph/0703058
L. Alvarez-Gaumé, J. Polchinski, M.B. Wise, Nucl. Phys. B 221, 495 (1983)
L.E. Ibañez, Phys. Lett. B 118, 73 (1982)
J.R. Ellis, D.V. Nanopoulos, K. Tamvakis, Phys. Lett. B 121, 123 (1983)
K. Inoue, A. Kakuto, H. Komatsu, S. Takeshita, Prog. Theor. Phys. 68, 927 (1982)
K. Inoue, A. Kakuto, H. Komatsu, S. Takeshita, Prog. Theor. Phys. 70, 330 (1983) [Erratum]
A.H. Chamseddine, R. Arnowitt, P. Nath, Phys. Rev. Lett. 49, 970 (1982)
B.C. Allanach, C.G. Lester, Phys. Rev. D 73, 015013 (2006)
B.C. Allanach, Phys. Lett. B 635, 123 (2006)
B.C. Allanach, C.G. Lester, ar**v:0705.0486 [hep-ph]
B.C. Allanach, K. Cranmer, C.G. Lester, A.M. Weber, ar**v:0705.0487 [hep-ph]
H.E. Haber, R. Hempfling, A.H. Hoang, Z. Phys. C 75, 539 (1997)
G. Degrassi, S. Heinemeyer, W. Hollik, P. Slavich, G. Weiglein, Eur. Phys. J. C 28, 133 (2003)
M. Frank, T. Hahn, S. Heinemeyer, W. Hollik, H. Rzehak, G. Weiglein, JHEP 0702, 047 (2007)
K.S. Cranmer, Comput. Phys. Commun. 136, 198 (2001)
K. Cranmer, T. Plehn, Eur. Phys. J. C 51, 415 (2007)
D0 Collaboration, V. M Abazov et al., Nature 429, 638 (2004)
B.C. Allanach, Comput. Phys. Commun. 143, 305 (2002)
B.C. Allanach, C.G. Lester, A.M. Weber, JHEP 0612, 065 (2006) [ar**v:hep-ph/0609295]
M. Drees, S.P. Martin, ar**v:hep-ph/9504324
A.H. Hoang, ar**v:hep-ph/0412160
P.M. Ferreira, I. Jack, D.R.T. Jones, Phys. Lett. B 387, 80 (1996)
B. Allanach, S. Kraml, W. Porod, ar**v:hep-ph/0207314
http://www.liv.ac.uk/∼dij/betas
I. Jack, D.R.T. Jones, A.F. Kord, Ann. Phys. 316, 213 (2005)
V.D. Barger, T. Han, T.J. Li, T. Plehn, Phys. Lett. B 475, 342 (2000)
V.D. Barger, T. Falk, T. Han, J. Jiang, T. Li, T. Plehn, Phys. Rev. D 64, 056007 (2001)
B. Allanach, P. Skands et al., JHEP 0407, 036 (2004)
T. Hahn, ar**v:hep-ph/0408283
J.A. Aguilar-Saavedra et al., Eur. Phys. J. C 46, 43 (2006) [ar**v:hep-ph/0511344]
N. Arkani-Hamed, G.L. Kane, J. Thaler, L.T. Wang, JHEP 0608, 070 (2006)
J. Hisano, K. Kawagoe, M.M. Nojiri, Phys. Rev. D 68, 035007 (2003)
S. Jäger, R. Lafaye, T. Plehn, M. Rauch, M. Spannowsky, D. Zerwas, in preparation
T. Goto, K. Kawagoe, M.M. Nojiri, Phys. Rev. D 70, 075016 (2004)
T. Goto, K. Kawagoe, M.M. Nojiri, Phys. Rev. D 71, 059902 (2005) [Erratum]
S.Y. Choi, K. Hagiwara, Y.G. Kim, K. Mawatari, P.M. Zerwas, Phys. Lett. B 648, 207 (2007)
J.R. Ellis, S. Heinemeyer, K.A. Olive, A.M. Weber, G. Weiglein, ar**v:0706.0652 [hep-ph]
O. Buchmueller et al., ar**v:0707.3447 [hep-ph]
R.R. de Austri, R. Trotta, L. Roszkowski, JHEP 0605, 002 (2006)
R. Trotta, R.R. de Austri, L. Roszkowski, J. Phys.: Conf. Ser. 60, 259 (2007)
R. Trotta, R.R. de Austri, L. Roszkowski, New Astro. Rev. 51, 316 (2007)
L. Roszkowski, R.R. de Austri, J. Silk, R. Trotta, ar**v:0707.0622 [astro-ph]
J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Lett. B 603, 51 (2004)
J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Rev. D 69, 095004 (2004)
E.A. Baltz, M. Battaglia, M.E. Peskin, T. Wizansky, Phys. Rev. D 74, 103521 (2006)
S. Dawson, H. Georgi, Phys. Rev. Lett. 43, 821 (1979)
M.B. Einhorn, D.R.T. Jones, Nucl. Phys. B 196, 475 (1982)
U. Amaldi, W. de Boer, H. Furstenau, Phys. Lett. B 260, 447 (1991)
G.A. Blair, W. Porod, P.M. Zerwas, Phys. Rev. D 63, 017703 (2001)
B.C. Allanach, G.A. Blair, S. Kraml, H.U. Martyn, G. Polesello, W. Porod, P.M. Zerwas, ar**v:hep-ph/0403133
G.A. Blair, A. Freitas, H.U. Martyn, G. Polesello, W. Porod, P.M. Zerwas, Acta Phys. Pol. B 36, 3445 (2005)
A.G. Cohen, T.S. Roy, M. Schmaltz, JHEP 0702, 027 (2007)
H. Murayama, Y. Nomura, D. Poland, ar**v:0709.0775 [hep-ph]
J.L. Kneur, R. Lafaye, T. Plehn, M. Rauch, D. Zerwas, in preparation
N. Metropolis, A.W. Rosenbluth, M.N. Teller, E. Teller, J. Chem. Phys. 21, 1087 (1953)
W.K. Hastings, Biometrika 57, 97 (1970)
A.M. Ferrenberg, R.H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988)
R. Lafaye, T. Plehn, M. Rauch, D. Zerwas, in preparation
F. James, M. Roos, Comput. Phys. Commun. 10, 343 (1975)
C.J.F. Ridders, Adv. Eng. Softw. 4, 75 (1982)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lafaye, R., Plehn, T., Rauch, M. et al. Measuring supersymmetry. Eur. Phys. J. C 54, 617–644 (2008). https://doi.org/10.1140/epjc/s10052-008-0548-z
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-008-0548-z