Abstract
The global fit of the Standard Model to electroweak precision data, routinely performed by the LEP electroweak working group and others, demonstrated impressively the predictive power of electroweak unification and quantum loop corrections. We have revisited this fit in view of (i) the development of the new generic fitting package, Gfitter, allowing for flexible and efficient model testing in high-energy physics, (ii) the insertion of constraints from direct Higgs searches at LEP and the Tevatron, and (iii) a more thorough statistical interpretation of the results. Gfitter is a modular fitting toolkit, which features predictive theoretical models as independent plug-ins, and a statistical analysis of the fit results using toy Monte Carlo techniques. The state-of-the-art electroweak Standard Model is fully implemented, as well as generic extensions to it. Theoretical uncertainties are explicitly included in the fit through scale parameters varying within given error ranges.
This paper introduces the Gfitter project, and presents state-of-the-art results for the global electroweak fit in the Standard Model (SM), and for a model with an extended Higgs sector (2HDM). Numerical and graphical results for fits with and without including the constraints from the direct Higgs searches at LEP and Tevatron are given. Perspectives for future colliders are analysed and discussed.
In the SM fit including the direct Higgs searches, we find M H =116.4 +18.3−1.3 GeV, and the 2σ and 3σ allowed regions [114,145] GeV and [[113,168] and [180,225]] GeV, respectively. For the strong coupling strength at fourth perturbative order we obtain α S (M 2 Z )=0.1193 +0.0028−0.0027 (exp )±0.0001 (theo). Finally, for the mass of the top quark, excluding the direct measurements, we find m t =178.2 +9.8−4.2 GeV. In the 2HDM we exclude a charged-Higgs mass below 240 GeV at 95% confidence level. This limit increases towards larger tan β, e.g., \(M_{H^{\pm}}<780\ \mbox{GeV}\) is excluded for tan β=70.
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References
G. Alexander (LEP Collaborations: ALEPH, DELPHI, L3 and OPAL), Phys. Lett. B 276, 247 (1992)
S. Abachi (D0 Collaboration), Phys. Rev. Lett. 74, 2632 (1995). hep-ex/9503003
F. Abe (CDF Collaboration), Phys. Rev. Lett. 74, 2626 (1995). hep-ex/9503002
LEP Electroweak Working Group, in 27th International Conference on High-Energy Physics, ICHEP 94, Glasgow, Scotland, UK, 20–27 July 1994, CERN-PPE-94-187
A.B. Arbuzov , Comput. Phys. Commun. 174, 728 (2006). hep-ph/0507146
D.Y. Bardin , Comput. Phys. Commun. 133, 229 (2001). hep-ph/9908433
G. Montagna, O. Nicrosini, F. Piccinini, G. Passarino, Comput. Phys. Commun. 117, 278 (1999). hep-ph/9804211
J. Erler, Phys. Rev. D 63, 071301 (2001). hep-ph/0010153
R. Brun, F. Rademakers, Nucl. Instrum. Methods A 389, 81 (1997)
M. Awramik, M. Czakon, A. Freitas, G. Weiglein, Phys. Rev. D 69, 053006 (2004). hep-ph/0311148
M. Awramik, M. Czakon, A. Freitas, G. Weiglein, Phys. Rev. Lett. 93, 201805 (2004). hep-ph/0407317
M. Awramik, M. Czakon, A. Freitas, J. High Energy Phys. 11, 048 (2006). hep-ph/0608099
R. Boughezal, J.B. Tausk, J.J. van der Bij, Nucl. Phys. B 713, 278 (2005). hep-ph/0410216
R. Boughezal, J.B. Tausk, J.J. van der Bij, Nucl. Phys. B 725, 3 (2005). hep-ph/0504092
D.Y. Bardin et al. (Electroweak working group), hep-ph/9709229, Prepared for Workshop Group on Precision Calculations for the Z Resonance (2nd meeting held March 31, 3rd meeting held June 13), Geneva, Switzerland, 14 January 1994, CERN-YELLOW-95-03A
P.A. Baikov, K.G. Chetyrkin, J.H. Kühn, arXiv:0801.1821, SFB-CPP-08-04, TTP08-01
M. Davier, S. Descotes-Genon, A. Hoecker, B. Malaescu, Z. Zhang, arXiv:0803.0979, CERN-OPEN-2008-006
ATLAS Collaboration, Physics TDR, vol. II, CERN-LHCC-99-15, 1999
CMS Collaboration, Physics TDR, vol. II, CERN-LHCC-06-21, 2006
A. Djouadi et al., arXiv:0709.1893
J. Charles (CKMfitter Group), Eur. Phys. J. C 41, 1 (2005). hep-ph/0406184
A. Hoecker, H. Lacker, S. Laplace, F. Le Diberder, Eur. Phys. J. C 21, 225 (2001). hep-ph/0104062
J. Charles, in School of Statistics, SOS 2008, Strasbourg, France, June 30–July 4 2008
L. Demortier, CDF-MEMO-STATISTICS-PUBLIC-8662, June 2007
S.S. Wilks, Ann. Math. Stat. 9, 60 (1938)
J. Neyman, Philos. Trans. R. Soc. Lond. Ser. A 226, 333 (1937). Reprinted in A Selection of Early Statistical Papers on J. Neyman, U. of California Press, Berkeley, 1967
G.J. Feldman, R.D. Cousins, Phys. Rev. D 57, 3873 (1998). physics/9711021
J. Conrad, O. Botner, A. Hallgren, C. Perez de los Heros, Phys. Rev. D 67, 012002 (2003). hep-ex/0202013
G. Punzi, physics/0511202
R.L. Berger, D.D. Boos, J. Am. Stat. Assoc. 89, 1012 (1994)
M.J. Silvapulle, J. Am. Stat. Assoc. 91, 1690 (1996). Erratum: 92, 801 (1997)
F. James, M. Roos, Comput. Phys. Commun. 10, 343 (1975)
N. Reid, Prepared for PHYSTAT 2003: Statistical Problems in Particle Physics, Astrophysics, and Cosmology, Menlo Park, CA, 8–11 September 2003, PHYSTAT-2003-THAT001
W.A. Rolke, A.M. Lopez, J. Conrad, Nucl. Instrum. Methods A 551, 493 (2005). physics/0403059
K. Cranmer, physics/0511028
The Gfitter code is available at the CERN CVS repository. Contact the authors for a copy
A. Hoecker et al., physics/0703039, CERN-OPEN-2007-007
LEP Electroweak Working Group (LEP EWWG), Status of March 2008. http://lepewwg.web.cern.ch/LEPEWWG/
M. Goodman’s, Neutrino-Oscillation-Industry web page. http://neutrinooscillation.org/
M. Bona (UTfit Collaboration), J. High Energy Phys. 07, 028 (2005). hep-ph/0501199
NASA’s Lambda archive. http://lambda.gsfc.nasa.gov/
R. Lafaye, T. Plehn, D. Zerwas, hep-ph/0404282, Contribution to LHC-LC Study Group, G. Weiglein et al., CERN-TH-2003-313
P. Bechtle, K. Desch, P. Wienemann, Comput. Phys. Commun. 174, 47 (2006). hep-ph/0412012
D.Y. Bardin, G. Passarino (Clarendon, Oxford, 1999)
The ALEPH, DELPHI, L3, OPAL, SLD Collaborations, the LEP Electroweak Working Group, the SLD Electroweak and Heavy Flavour Working Groups, Phys. Rep. 427, 257 (2006). hep-ex/0509008
J. Erler, P. Langacker, Phys. Lett. B 667, 1 (2008). Review article in Particle Data Group, Review of Particle Physics 2008
G. Passarino, M.J.G. Veltman, Nucl. Phys. B 160, 151 (1979)
A. Sirlin, Phys. Rev. D 22, 971 (1980)
K.I. Aoki, Z. Hioki, M. Konuma, R. Kawabe, T. Muta, Prog. Theor. Phys. Suppl. 73, 1 (1982)
K.G. Chetyrkin, M. Faisst, J.H. Kühn, P. Maierhofer, C. Sturm, Phys. Rev. Lett. 97, 102003 (2006). hep-ph/0605201
Y. Schroder, M. Steinhauser, Phys. Lett. B 622, 124 (2005). hep-ph/0504055
R. Boughezal, M. Czakon, Nucl. Phys. B 755, 221 (2006). hep-ph/0606232
M. Awramik, M. Czakon, A. Freitas, B.A. Kniehl, 0811.1364
A. Czarnecki, J.H. Kühn, Phys. Rev. Lett. 77, 3955 (1996). hep-ph/9608366
R. Harlander, T. Seidensticker, M. Steinhauser, Phys. Lett. B 426, 125 (1998). hep-ph/9712228
D.Y. Bardin, S. Riemann, T. Riemann, Z. Phys. C 32, 121 (1986)
B.A. Kniehl, F. Madricardo, M. Steinhauser, Phys. Rev. D 62, 073010 (2000). hep-ph/0005060
M. Goebel, Diploma thesis, University Hamburg, 2008
P. Skands, D. Wicke, Eur. Phys. J. C 52, 133 (2007). hep-ph/0703081
D. Wicke, P.Z. Skands, 0807.3248
A.H. Hoang, A. Jain, I. Scimemi, I.W. Stewart, 0803.4214
A.H. Hoang, I.W. Stewart, 0808.0222
C. Amsler (Particle Data Group), Phys. Lett. B 667, 1 (2008)
Tevatron Electroweak Working Group, and others, 0808.1089, FERMILAB-TM-2413-E
K. Hagiwara, A.D. Martin, D. Nomura, T. Teubner, Phys. Lett. B 649, 173 (2007). hep-ph/0611102
A. Hoecker, W. Marciano, Phys. Lett. B 667, 1 (2008). Review article in Particle Data Group, Review of Particle Physics 2008
J. Alcaraz et al. (ALEPH Collaboration), hep-ex/0612034
CDF, and others, 0808.0147, FERMILAB-TM-2415
V.M. Abazov (CDF Collaboration), Phys. Rev. D 70, 092008 (2004). hep-ex/0311039
R. Barate (The ALEPH, DELPHI, L3 and OPAL Collaborations, and LEP Working Group for Higgs Boson Searches), Phys. Lett. B 565, 61 (2003). hep-ex/0306033
The TEVNPH Working Group for the CDF and D0 Collaborations, 0804.3423, FERMILAB-PUB-08-069-E
G. Bernardi et al. (Tevatron New Phenomena Higgs Working Group), 0808.0534, FERMILAB-PUB-08-270-E
T. Read, in 1st Workshop on Confidence Limits, CERN, Geneva, Switzerland, 17–18 January 2000, CERN-2000-005
T. Junk, Nucl. Instrum. Methods A 434, 435 (1999). hep-ex/9902006
A.L. Read, J. Phys. G 28, 2693 (2002)
C.S. Wood , Science 275, 1759 (1997)
J. Guena, M. Lintz, M.A. Bouchiat, physics/0412017
N.H. Edwards, S.J. Phipp, P.E.G. Baird, S. Nakayama, Phys. Rev. Lett. 74, 2654 (1995)
P.A. Vetter, D.M. Meekhof, P.K. Majumder, S.K. Lamoreaux, E.N. Fortson, Phys. Rev. Lett. 74, 2658 (1995)
P.L. Anthony (SLAC E158), Phys. Rev. Lett. 95, 081601 (2005). hep-ex/0504049
G.P. Zeller (NuTeV Collaboration), Phys. Rev. Lett. 88, 091802 (2002). hep-ex/0110059
K.J. Eskola, H. Paukkunen, J. High Energy Phys. 06, 008 (2006). hep-ph/0603155
S. Davidson, S. Forte, P. Gambino, N. Rius, A. Strumia, J. High Energy Phys. 02, 037 (2002). hep-ph/0112302
K.S. McFarland, S.-O. Moch, in Proceedings of Mini-Workshop on Electroweak Precision Data and the Higgs Mass, Zeuthen, Germany, 28 February–1 March, 2003. hep-ph/0306052
M. Beneke, M. Jamin, 0806.3156
K. Maltman, T. Yavin, 0807.0650
M. Davier, A. Hoecker, Phys. Lett. B 435, 427 (1998). hep-ph/9805470
H. Burkhardt, B. Pietrzyk, Phys. Rev. D 72, 057501 (2005). hep-ph/0506323
G. Abbiendi (OPAL Collaboration), Eur. Phys. J. C 45, 1 (2006). hep-ex/0505072
M. Acciarri (L3 Collaboration), Phys. Lett. B 476, 40 (2000). hep-ex/0002035
P. Achard (L3 Collaboration), Phys. Lett. B 623, 26 (2005). hep-ex/0507078
G. Abbiendi (OPAL Collaboration), Eur. Phys. J. C 33, 173 (2004). hep-ex/0309053
J. Alcaraz et al. (The ALEPH, DELPHI, L3, OPAL Collaborations, and the LEP Electroweak Working Group), 0712.0929, CERN-PH-EP-2007-039
S. Haywood et al., in CERN Workshop on Standard Model Physics (and more) at the LHC (Final Plenary Meeting), Geneva, Switzerland, 14–15 October 1999, CERN-TH-2000-102. hep-ph/0003275
I. Borjanovic , Eur. Phys. J. C 39(2), 63 (2005). hep-ex/0403021
V. Buge , J. Phys. G 34, N193 (2007)
N. Besson, M. Boonekamp, E. Klinkby, T. Petersen, S. Mehlhase, 0805.2093
A.H. Hoang , Eur. Phys. J. Direct C 2, 1 (2000). hep-ph/0001286
K.G. Chetyrkin, M. Steinhauser, Nucl. Phys. B 573, 617 (2000). hep-ph/9911434
R. Hawkings, K. Mönig, Eur. Phys. J. Direct C 1, 8 (1999). hep-ex/9910022
M. Winter, LC-PHSM-2001-016
F. Jegerlehner, in 2nd ECFA/DESY Study 1998-2001, 1851, DESY-01-029. hep-ph/0105283
H.E. Haber, G.L. Kane, T. Sterling, Nucl. Phys. B 161, 493 (1979)
H.E. Haber, D. O’Neil, Phys. Rev. D 74, 015018 (2006). hep-ph/0602242
S. Davidson, H.E. Haber, Phys. Rev. D 72, 035004 (2005). hep-ph/0504050
J.M. Cline, P.-A. Lemieux, Phys. Rev. D 55, 3873 (1997). hep-ph/9609240
J.F. Gunion, H.E. Haber, G.L. Kane, S. Dawson, The Higgs Hunter’s Guide (Perseus, Cambridge, 1990). SCIPP-89/13, UCD-89-4, BNL-41644
J.F. Gunion, H.E. Haber, G.L. Kane, S. Dawson, hep-ph/9302272
L.F. Abbott, P. Sikivie, M.B. Wise, Phys. Rev. D 21, 1393 (1980)
LEP Higgs Working Group for Higgs boson searches, hep-ex/0107031
L. Michel, Proc. Phys. Soc. A 63, 514 (1950)
W. Fletschwe, H.-J. Gerber, Phys. Lett. B 667, 1 (2008). Review article in Particle Data Group, Review of Particle Physics 2008
A. Stahl, Phys. Lett. B 667, 1 (2008). Review article in Particle Data Group, Review of Particle Physics 2008
H.E. Haber, H.E. Logan, Phys. Rev. D 62, 015011 (2000). hep-ph/9909335
M. Misiak , Phys. Rev. Lett. 98, 022002 (2007). hep-ph/0609232
E. Barberio et al. (Heavy Flavor Averaging Group), 0808.1297
P. Gambino, M. Misiak, Nucl. Phys. B 611, 338 (2001). hep-ph/0104034
P. Gambino, M. Misiak, private communication
A. Gray (HPQCD). Phys. Rev. Lett. 95, 212001 (2005). hep-lat/0507015
J. Charles et al. (CKMfitter Group), Updated results for ICHEP 2008 conference available at http://ckmfitter.in2p3.fr
W.-S. Hou, Phys. Rev. D 48, 2342 (1993)
B. Aubert (BABAR Collaboration), Phys. Rev. D 77, 011107 (2008). 0708.2260
B. Aubert (BABAR Collaboration), Phys. Rev. D 76, 052002 (2007). 0705.1820
P. Chang, Rare decays and new physics, in 34th International Conference on High Energy Physics (ICHEP 2008), Philadelphia, USA, 29 Jully–5 August 2008
M. Mazur, B decays with tau leptons in the final state, in 10th International Workshop on Tau Lepton Physics (Tau 2008), Novosibirsk, Russia, 22–25 September 2008
B. Aubert et al. (BABAR Collaboration), 0807.4187
M. Antonelli et al. (FlaviaNet Working Group on Kaon Decays), 0801.1817, FERMILAB-PUB-08-101-T
E. Blucher, W. Marciano, Phys. Lett. B 667, 1 (2008). Review article in Particle Data Group, Review of Particle Physics 2008
J.F. Kamenik, F. Mescia, Phys. Rev. D 78, 014003 (2008). 0802.3790
B. Aubert (BABAR Collaboration), Phys. Rev. Lett. 100, 021801 (2008). 0709.1698
A.G. Akeroyd et al. (SuperKEKB Physics Working Group), hep-ex/0406071
S. Hashimoto et al. (eds.), KEK-REPORT-2004-4
Super KEKB Project, Super KEKB Home Page http://superb.kek.jp/
M. Bona et al., 0709.0451
M. Flechl, 0710.1761, and references therein
P.W. Higgs, Phys. Rev. Lett. 13, 508 (1964)
F. Englert, R. Brout, Phys. Rev. Lett. 13, 321 (1964)
J.R. Ellis, G.L. Fogli, E. Lisi, Phys. Lett. B 343, 282 (1995)
P.J. Mohr, B.N. Taylor, D.B. Newell, Rev. Mod. Phys. 80, 633 (2008). 0801.0028
M. Steinhauser, Phys. Lett. B 429, 158 (1998). hep-ph/9803313
D. Nomura, T. Teubner, Private communication, 2007
J.H. Kühn, M. Steinhauser, Phys. Lett. B 437, 425 (1998). hep-ph/9802241
K.G. Chetyrkin, J.H. Kühn, M. Steinhauser, Phys. Lett. B 371, 93 (1996). hep-ph/9511430
K.G. Chetyrkin, J.H. Kühn, M. Steinhauser, Nucl. Phys. B 482, 213 (1996). hep-ph/9606230
K.G. Chetyrkin, J.H. Kühn, M. Steinhauser, Nucl. Phys. B 505, 40 (1997). hep-ph/9705254
G. t’Hooft, M. Veltman, Nucl. Phys. B 44, 189 (1972)
W.A. Bardeen, A.J. Buras, D.W. Duke, T. Muta, Phys. Rev. D 18, 3998 (1978)
T. van Ritbergen, J.A.M. Vermaseren, S.A. Larin, Phys. Lett. B 400, 379 (1997). hep-ph/9701390
M. Czakon, Nucl. Phys. B 710, 485 (2005). hep-ph/0411261
K.G. Chetyrkin, B.A. Kniehl, M. Steinhauser, Phys. Rev. Lett. 79, 2184 (1997). hep-ph/9706430
G.M. Prosperi, M. Raciti, C. Simolo, Prog. Part. Nucl. Phys. 58, 387 (2007)
W. Bernreuther, W. Wetzel, Nucl. Phys. B 197, 228 (1982). Erratum: Nucl. Phys. B 513, 758 (1998)
W. Wetzel, Nucl. Phys. B 196, 259 (1982)
G. Rodrigo, A. Pich, A. Santamaria, Phys. Lett. B 424, 367 (1998). hep-ph/9707474
J.A.M. Vermaseren, S.A. Larin, T. van Ritbergen, Phys. Lett. B 405, 327 (1997). hep-ph/9703284
G. Degrassi, S. Fanchiotti, F. Feruglio, B.P. Gambino, A. Vicini, Phys. Lett. B 350, 75 (1995). hep-ph/9412380
G. Degrassi, F. Feruglio, A. Vicini, S. Fanchiotti, P. Gambino, hep-ph/9507286
G. Degrassi, P. Gambino, A. Vicini, Phys. Lett. B 383, 219 (1996). hep-ph/9603374
G. Degrassi, P. Gambino, Nucl. Phys. B 567, 3 (2000). hep-ph/9905472
B.A. Kniehl, Nucl. Phys. B 347, 86 (1990)
D.A. Ross, M.J.G. Veltman, Nucl. Phys. B 95, 135 (1975)
M.J.G. Veltman, Nucl. Phys. B 123, 89 (1977)
A.A. Akhundov, D.Y. Bardin, T. Riemann, Nucl. Phys. B 276, 1 (1986)
D.Y. Bardin , Z. Phys. C 44, 493 (1989)
R. Barbieri, M. Beccaria, P. Ciafaloni, G. Curci, A. Vicere, Nucl. Phys. B 409, 105 (1993)
J. Fleischer, O.V. Tarasov, F. Jegerlehner, Phys. Lett. B 319, 249 (1993)
D.Y. Bardin, P.K. Khristova, O.M. Fedorenko, Nucl. Phys. B 197, 1 (1982)
D.Y. Bardin, P.K. Khristova, O.M. Fedorenko, Nucl. Phys. B 175, 435 (1980)
K.G. Chetyrkin, A.L. Kataev, F.V. Tkachov, Phys. Lett. B 85, 277 (1979)
M. Dine, J.R. Sapirstein, Phys. Rev. Lett. 43, 668 (1979)
W. Celmaster, R.J. Gonsalves, Phys. Rev. Lett. 44, 560 (1980)
S.G. Gorishnii, A.L. Kataev, S.A. Larin, Phys. Lett. B 273, 141 (1991)
K.G. Chetyrkin, J.H. Kühn, A. Kwiatkowski, hep-ph/9503396
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The Gfitter Group., Flächer, H., Goebel, M. et al. Revisiting the global electroweak fit of the Standard Model and beyond with Gfitter. Eur. Phys. J. C 60, 543–583 (2009). https://doi.org/10.1140/epjc/s10052-009-0966-6
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DOI: https://doi.org/10.1140/epjc/s10052-009-0966-6