Abstract
We make a frequentist analysis of the parameter space of minimal supergravity (mSUGRA), in which, as well as the gaugino and scalar soft supersymmetry-breaking parameters being universal, there is a specific relation between the trilinear, bilinear and scalar supersymmetry-breaking parameters, A 0=B 0+m 0, and the gravitino mass is fixed by m 3/2=m 0. We also consider a more general model, in which the gravitino mass constraint is relaxed (the VCMSSM). We combine in the global likelihood function the experimental constraints from low-energy electroweak precision data, the anomalous magnetic moment of the muon, the lightest Higgs boson mass M h , B physics and the astrophysical cold dark matter density, assuming that the lightest supersymmetric particle (LSP) is a neutralino. In the VCMSSM, we find a preference for values of m 1/2 and m 0 similar to those found previously in frequentist analyses of the constrained MSSM (CMSSM) and a model with common non-universal Higgs masses (NUHM1). On the other hand, in mSUGRA we find two preferred regions: one with larger values of both m 1/2 and m 0 than in the VCMSSM, and one with large m 0 but small m 1/2. We compare the probabilities of the frequentist fits in mSUGRA, the VCMSSM, the CMSSM and the NUHM1: the probability that mSUGRA is consistent with the present data is significantly less than in the other models. We also discuss the mSUGRA and VCMSSM predictions for sparticle masses and other observables, identifying potential signatures at the LHC and elsewhere.
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References
L. Maiani, in Proceedings of the Gif-sur-Yvette Summer School on Particle Physics (1979), pp. 1–52
G. ’t Hooft, in Recent developments in Gauge Theories. Proceedings of the NATO Advanced Study Institute, Cargèse, 1979, ed. by G. ’t Hooft et al. (Plenum Press, New York, 1980)
E. Witten, Phys. Lett. B 105, 267 (1981)
J.R. Ellis, S. Kelley, D.V. Nanopoulos, Phys. Lett. B 249, 441 (1990)
J.R. Ellis, S. Kelley, D.V. Nanopoulos, Phys. Lett. B 260, 131 (1991)
U. Amaldi, W. de Boer, H. Furstenau, Phys. Lett. B 260, 447 (1991)
C. Giunti, C.W. Kim, U.W. Lee, Mod. Phys. Lett. A 6, 1745 (1991)
J. 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)
H. Pagels, J. Primack, Phys. Rev. Lett. 48, 223 (1982)
S. Weinberg, Phys. Rev. Lett. 48, 1303 (1982)
J. Ellis, A.D. Linde, D.V. Nanopoulos, Phys. Lett. 118, 59 (1982)
D.V. Nanopoulos, K.A. Olive, M. Srednicki, Phys. Lett. B 127, 30 (1983)
L.M. Krauss, Nucl. Phys. B 227, 55 (1983)
M.Y. Khlopov, A.D. Linde, Phys. Lett. B 138, 265 (1984)
J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Lett. B 588, 7 (2004). arXiv:hep-ph/0312262
J.L. Feng, A. Rajaraman, F. Takayama, Phys. Rev. Lett. 91, 011302 (2003). arXiv:hep-ph/0302215
J.L. Feng, S. Su, F. Takayama, Phys. Rev. D 70, 075019 (2004). arXiv:hep-ph/0404231
J.R. Ellis, G. Ridolfi, F. Zwirner, Phys. Lett. B 257, 83 (1991)
J.R. Ellis, G. Ridolfi, F. Zwirner, Phys. Lett. B 262, 477 (1991)
Y. Okada, M. Yamaguchi, T. Yanagida, Phys. Lett. B 262, 54 (1991)
Y. Okada, M. Yamaguchi, T. Yanagida, Prog. Theor. Phys. 85, 1 (1991)
A. Yamada, Phys. Lett. B 263, 233 (1991)
H.E. Haber, R. Hempfling, Phys. Rev. Lett. 66, 1815 (1991)
M. Drees, M.M. Nojiri, Phys. Rev. D 45, 2482 (1992)
P.H. Chankowski, S. Pokorski, J. Rosiek, Phys. Lett. B 274, 191 (1992)
P.H. Chankowski, S. Pokorski, J. Rosiek, Phys. Lett. B 286, 307 (1992)
G. Degrassi, S. Heinemeyer, W. Hollik, P. Slavich, G. Weiglein, Eur. Phys. J. C 28, 133 (2003). arXiv:hep-ph/0212020
The Muon g-2 Collaboration, Phys. Rev. Lett. 92, 161802 (2004). arXiv:hep-ex/0401008
G. Bennett et al. (The Muon g-2 Collaboration), Phys. Rev. D 73, 072003 (2006). arXiv:hep-ex/0602035
D. Stockinger, J. Phys. G 34, R45 (2007). arXiv:hep-ph/0609168
J. Miller, E. de Rafael, B. Roberts, Rep. Prog. Phys. 70, 795 (2007). arXiv:hep-ph/0703049
J. Prades, E. de Rafael, A. Vainshtein, arXiv:0901.0306 [hep-ph]
F. Jegerlehner, A. Nyffeler, Phys. Rep. 477, 1 (2009). arXiv:0902.3360 [hep-ph]
M. Davier, A. Hoecker, B. Malaescu, C.Z. Yuan, Z. Zhang, Eur. Phys. J. C 66, 1 (2010). arXiv:0908.4300 [hep-ph]
J. Prades, Acta Phys. Pol. Suppl. 3, 75 (2010). arXiv:0909.2546 [hep-ph]
T. Teubner, K. Hagiwara, R. Liao, A.D. Martin, D. Nomura, arXiv:1001.5401 [hep-ph]
M. Davier, A. Hoecker, B. Malaescu, Z. Zhang, arXiv:1010.4180 [hep-ph]
H.E. Haber, G.L. Kane, Phys. Rep. 117, 75 (1985)
M. Drees, M.M. Nojiri, Phys. Rev. D 47, 376 (1993). arXiv:hep-ph/9207234
H. Baer, M. Brhlik, Phys. Rev. D 53, 597 (1996). arXiv:hep-ph/9508321
H. Baer, M. Brhlik, Phys. Rev. D 57, 567 (1998). arXiv:hep-ph/9706509
J.R. Ellis, T. Falk, K.A. Olive, M. Schmitt, Phys. Lett. B 388, 97 (1996). arXiv:hep-ph/9607292
J.R. Ellis, T. Falk, K.A. Olive, M. Schmitt, Phys. Lett. B 413, 355 (1997). arXiv:hep-ph/9705444
J.R. Ellis, T. Falk, G. Ganis, K.A. Olive, M. Schmitt, Phys. Rev. D 58, 095002 (1998). arXiv:hep-ph/9801445
V.D. Barger, C. Kao, Phys. Rev. D 57, 3131 (1998). arXiv:hep-ph/9704403
J.R. Ellis, T. Falk, G. Ganis, K.A. Olive, Phys. Rev. D 62, 075010 (2000). arXiv:hep-ph/0004169
J.R. Ellis, T. Falk, G. Ganis, K.A. Olive, M. Srednicki, Phys. Lett. B 510, 236 (2001). arXiv:hep-ph/0102098
V.D. Barger, C. Kao, Phys. Lett. B 518, 117 (2001). arXiv:hep-ph/0106189
L. Roszkowski, R. Ruiz de Austri, T. Nihei, J. High Energy Phys. 0108, 024 (2001). arXiv:hep-ph/0106334
A. Djouadi, M. Drees, J.L. Kneur, J. High Energy Phys. 0108, 055 (2001). arXiv:hep-ph/0107316
U. Chattopadhyay, A. Corsetti, P. Nath, Phys. Rev. D 66, 035003 (2002). arXiv:hep-ph/0201001
J.R. Ellis, K.A. Olive, Y. Santoso, New J. Phys. 4, 32 (2002). arXiv:hep-ph/0202110
H. Baer, C. Balazs, A. Belyaev, J.K. Mizukoshi, X. Tata, Y. Wang, J. High Energy Phys. 0207, 050 (2002). arXiv:hep-ph/0205325
R. Arnowitt, B. Dutta, arXiv:hep-ph/0211417
J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Lett. B 565, 176 (2003). arXiv:hep-ph/0303043
H. Baer, C. Balazs, J. Cosmol. Astropart. Phys. 0305, 006 (2003). arXiv:hep-ph/0303114
A.B. Lahanas, D.V. Nanopoulos, Phys. Lett. B 568, 55 (2003). arXiv:hep-ph/0303130
U. Chattopadhyay, A. Corsetti, P. Nath, Phys. Rev. D 68, 035005 (2003). arXiv:hep-ph/0303201
C. Munoz, Int. J. Mod. Phys. A 19, 3093 (2004). arXiv:hep-ph/0309346
J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Rev. D 69, 095004 (2004). arXiv:hep-ph/0310356
J. Ellis, S. Heinemeyer, K. Olive, G. Weiglein, J. High Energy Phys. 0502, 013 hep-ph/0411216
J.R. Ellis, S. Heinemeyer, K.A. Olive, G. Weiglein, J. High Energy Phys. 0605, 005 (2006). arXiv:hep-ph/0602220
H. Baer, A. Mustafayev, S. Profumo, A. Belyaev, X. Tata, Phys. Rev. D 71, 095008 (2005). arXiv:hep-ph/0412059
H. Baer, A. Mustafayev, S. Profumo, A. Belyaev, X. Tata, J. High Energy Phys. 0507, 065 (2005). hep-ph/0504001
J.R. Ellis, K.A. Olive, P. Sandick, Phys. Rev. D 78, 075012 (2008). arXiv:0805.2343 [hep-ph]
J. Polonyi, Generalization of the Massive Scalar Multiplet Coupling to the Supergravity, Hungary Central Inst Res—KFKI-77-93
E. Cremmer, B. Julia, J. Scherk, P. van Nieuwenhuizen, S. Ferrara, L. Girardello, Phys. Lett. B 79, 231 (1978)
E. Cremmer, B. Julia, J. Scherk, S. Ferrara, L. Girardello, P. van Nieuwenhuizen, Nucl. Phys. B 147, 105 (1979)
R. Barbieri, S. Ferrara, C.A. Savoy, Phys. Lett. B 119, 343 (1982)
A.H. Chamseddine, R.L. Arnowitt, P. Nath, Phys. Rev. Lett. 49, 970 (1982)
For reviews, see: H.P. Nilles, Phys. Rep. 110, 1 (1984)
A. Brignole, L.E. Ibanez, C. Munoz, in Perspectives on supersymmetry, ed. by G.L. Kane, pp. 125–148. arXiv:hep-ph/9707209
L.E. Ibanez, G.G. Ross, Phys. Lett. B 110, 215 (1982)
L.E. Ibanez, Phys. Lett. B 118, 73 (1982)
J.R. Ellis, D.V. Nanopoulos, K. Tamvakis, Phys. Lett. B 121, 123 (1983)
L. Alvarez-Gaume, J. Polchinski, M.B. Wise, Nucl. Phys. B 221, 495 (1983)
J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Lett. B 573, 162 (2003). arXiv:hep-ph/0305212
J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Rev. D 70, 055005 (2004). arXiv:hep-ph/0405110
O. Buchmueller et al., Phys. Lett. B 657, 87 (2007). arXiv:0707.3447 [hep-ph]
O. Buchmueller et al., J. High Energy Phys. 0809, 117 (2008). arXiv:0808.4128 [hep-ph]
O. Buchmueller et al., Eur. Phys. J. C 64, 391 (2009). arXiv:0907.5568 [hep-ph]
O. Buchmueller et al., Phys. Rev. D 81, 035009 (2010). arXiv:0912.1036 [hep-ph]
R.H. Cyburt, J.R. Ellis, B.D. Fields, K.A. Olive, V.C. Spanos, J. Cosmol. Astropart. Phys. 0611, 014 (2006). arXiv:astro-ph/0608562
J.R. Ellis, K.A. Olive, E. Vangioni, Phys. Lett. B 619, 30 (2005). arXiv:astro-ph/0503023
K. Jedamzik, K.Y. Choi, L. Roszkowski, R. Ruiz de Austri, J. Cosmol. Astropart. Phys. 0607, 007 (2006). arXiv:hep-ph/0512044
M. Kusakabe, T. Kajino, R.N. Boyd, T. Yoshida, G.J. Mathews, Phys. Rev. D 76, 121302 (2007). arXiv:0711.3854 [astro-ph]
T. Jittoh, K. Kohri, M. Koike, J. Sato, T. Shimomura, M. Yamanaka, Phys. Rev. D 76, 125023 (2007). arXiv:0704.2914 [hep-ph]
M. Pospelov, J. Pradler, F.D. Steffen, J. Cosmol. Astropart. Phys. 0811, 020 (2008). arXiv:0807.4287 [hep-ph]
G.B. Gelmini, Nucl. Phys. B, Proc. Suppl. 194, 63 (2009). arXiv:0907.1694 [hep-ph]
A. Dedes, A.B. Lahanas, K. Tamvakis, Phys. Rev. D 53, 3793 (1996). arXiv:hep-ph/9504239
B.C. Allanach, Comput. Phys. Commun. 143, 305 (2002). arXiv:hep-ph/0104145
S. Heinemeyer, W. Hollik, G. Weiglein, Eur. Phys. J. C 9, 343 (1999). arXiv:hep-ph/9812472
S. Heinemeyer, W. Hollik, G. Weiglein, Comput. Phys. Commun. 124, 76 (2000). arXiv:hep-ph/9812320. See http://www.feynhiggs.de
M. Frank, T. Hahn, S. Heinemeyer, W. Hollik, H. Rzehak, G. Weiglein, J. High Energy Phys. 0702, 047 (2007). arXiv:hep-ph/0611326
T. Moroi, Phys. Rev. D 53, 6565 (1996). Erratum-ibid. D 56, 4424 (1997). arXiv:hep-ph/9512396
G. Degrassi, G.F. Giudice, Phys. Rev. D 58, 053007 (1998). arXiv:hep-ph/9803384
S. Heinemeyer, D. Stockinger, G. Weiglein, Nucl. Phys. B 690, 62 (2004). arXiv:hep-ph/0312264
S. Heinemeyer, D. Stockinger, G. Weiglein, Nucl. Phys. B 699, 103 (2004). arXiv:hep-ph/0405255
G. Isidori, P. Paradisi, Phys. Lett. B 639, 499 (2006). arXiv:hep-ph/0605012
G. Isidori, F. Mescia, P. Paradisi, D. Temes, Phys. Rev. D 75, 115019 (2007). arXiv:hep-ph/0703035, and references therein
F. Mahmoudi, Comput. Phys. Commun. 178, 745 (2008). arXiv:0710.2067 [hep-ph] and arXiv:0808.3144 [hep-ph]
D. Eriksson, F. Mahmoudi, O. Stal, J. High Energy Phys. 0811, 035 (2008). arXiv:0808.3551 [hep-ph]
S. Heinemeyer, W. Hollik, D. Stockinger, A.M. Weber, G. Weiglein, J. High Energy Phys. 0608, 052 (2006). arXiv:hep-ph/0604147
S. Heinemeyer, W. Hollik, A.M. Weber, G. Weiglein, J. High Energy Phys. 0804, 039 (2008). arXiv:0710.2972 [hep-ph]
G. Belanger, F. Boudjema, A. Pukhov, A. Semenov, Comput. Phys. Commun. 176, 367 (2007). arXiv:hep-ph/0607059
G. Belanger, F. Boudjema, A. Pukhov, A. Semenov, Comput. Phys. Commun. 149, 103 (2002). arXiv:hep-ph/0112278
G. Belanger, F. Boudjema, A. Pukhov, A. Semenov, Comput. Phys. Commun. 174, 577 (2006). arXiv:hep-ph/0405253
P. Gondolo, J. Edsjo, P. Ullio, L. Bergstrom, M. Schelke, E.A. Baltz, New Astron. Rev. 49, 149 (2005)
P. Gondolo, J. Edsjo, P. Ullio, L. Bergstrom, M. Schelke, E.A. Baltz, J. Cosmol. Astropart. Phys. 0407, 008 (2004). arXiv:astro-ph/0406204
P. Skands et al., J. High Energy Phys. 0407, 036 (2004). arXiv:hep-ph/0311123
B. Allanach et al., Comput. Phys. Commun. 180, 8 (2009). arXiv:0801.0045 [hep-ph]
E. Komatsu et al., arXiv:1001.4538 [astro-ph.CO]
R. Barate et al. (ALEPH, DELPHI, L3, OPAL Collaborations and LEP Working Group for Higgs boson searches), Phys. Lett. B 565, 61 (2003). arXiv:hep-ex/0306033
S. Schael et al. (ALEPH, DELPHI, L3, OPAL Collaborations and LEP Working Group for Higgs boson searches), Eur. Phys. J. C 47, 547 (2006). arXiv:hep-ex/0602042
J.R. Ellis, K.A. Olive, C. Savage, Phys. Rev. D 77, 065026 (2008). arXiv:0801.3656 [hep-ph]
J.R. Ellis, S. Heinemeyer, K.A. Olive, G. Weiglein, Phys. Lett. B 515, 348 (2001). arXiv:hep-ph/0105061
S. Ambrosanio, A. Dedes, S. Heinemeyer, S. Su, G. Weiglein, Nucl. Phys. B 624, 3 (2002). arXiv:hep-ph/0106255
V. Khachatryan et al. (CMS Collaboration), arXiv:1101.1628 [hep-ex]
G. Aad et al. (ATLAS Collaboration), arXiv:1102.2357 [hep-ex]
O. Buchmueller et al., arXiv:1102.4585 [hep-ph]
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Buchmueller, O., Cavanaugh, R., Colling, D. et al. Frequentist analysis of the parameter space of minimal supergravity. Eur. Phys. J. C 71, 1583 (2011). https://doi.org/10.1140/epjc/s10052-011-1583-8
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DOI: https://doi.org/10.1140/epjc/s10052-011-1583-8