Abstract
We analyze the constraints imposed by experimental upper limits on electric dipole moments (EDMs) within the Maximally CP -and Minimally Flavour-Violating (MCPMFV) version of the MSSM. Since the MCPMFV scenario has 6 non-standard CP -violating phases, in addition to the CP -odd QCD vacuum phase θQCD, cancellations may occur among the CP -violating contributions to the three measured EDMs, those of 205Tl, the neutron and 199Hg, leaving open the possibility of relatively large values of the other CP -violating observables. We develop a novel geometric method that uses the small-phase approximation as a starting point, takes the existing EDM constraints into account, and enables us to find maximal values of other CP -violating observables, such as the EDMs of the Deuteron and muon, the CP -violating asymmetry in b→sγ decay, and the B s mixing phase. We apply this geometric method to provide upper limits on these observables within specific benchmark supersymmetric scenarios, including extensions that allow for a non-zero θQCD.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B.C. Regan, E.D. Commins, C.J. Schmidt and D. DeMille, New limit on the electron electric dipole moment, Phys. Rev. Lett. 88 (2002) 071805 [SPIRES].
C.A. Baker et al., An improved experimental limit on the electric dipole moment of the neutron, Phys. Rev. Lett. 97 (2006) 131801 [hep-ex/0602020] [SPIRES].
M.V. Romalis, W.C. Griffith and E.N. Fortson, A new limit on the permanent electric dipole moment of Hg-199, Phys. Rev. Lett. 86 (2001) 2505 [hep-ex/0012001] [SPIRES].
W.C. Griffith et al., Improved Limit on the Permanent Electric Dipole Moment of Hg-199, Phys. Rev. Lett. 102 (2009) 101601 [SPIRES].
H.P. Nilles, Supersymmetry, Supergravity and Particle Physics, Phys. Rept. 110 (1984) 1 [SPIRES].
H.E. Haber and G.L. Kane, The Search for Supersymmetry: Probing Physics Beyond the Standard Model, Phys. Rept. 117 (1985) 75 [SPIRES].
For the current status of the CKM model, see: http://ckmfitter.in2p3.fr/, http://www.utfit.org/.
M.S. Carena, J.M. Moreno, M. Quirós, M. Seco and C.E.M. Wagner, Supersymmetric CP-violating currents and electroweak baryogenesis, Nucl. Phys. B 599 (2001) 158 [hep-ph/0011055] [SPIRES].
M.S. Carena, M. Quirós, M. Seco and C.E.M. Wagner, Improved results in supersymmetric electroweak baryogenesis, Nucl. Phys. B 650 (2003) 24 [hep-ph/0208043] [SPIRES].
T. Konstandin, T. Prokopec, M.G. Schmidt and M. Seco, MSSM electroweak baryogenesis and flavour mixing in transport equations, Nucl. Phys. B 738 (2006) 1 [hep-ph/0505103] [SPIRES].
D.J.H. Chung, B. Garbrecht, M.J. Ramsey-Musolf and S. Tulin, Yukawa Interactions and Supersymmetric Electroweak Baryogenesis, Phys. Rev. Lett. 102 (2009) 061301 [arXiv:0808.1144] [SPIRES].
The LHCb collaboration, et al., Roadmap for selected key measurements of LHCb, arXiv:0912.4179 [SPIRES].
EDM collaboration, Y.K. Semertzidis et al., A new method for a sensitive deuteron EDM experiment, AIP Conf. Proc. 698 (2004) 200 [hep-ex/0308063] [SPIRES].
Y.F. Orlov, W.M. Morse and Y.K. Semertzidis, Resonance method of electric-dipole-moment measurements in storage rings, Phys. Rev. Lett. 96 (2006) 214802 [hep-ex/0605022] [SPIRES].
O. Lebedev, K.A. Olive, M. Pospelov and A. Ritz, Probing CP-violation with the deuteron electric dipole moment, Phys. Rev. D 70 (2004) 016003 [hep-ph/0402023] [SPIRES].
J.R. Ellis, J.S. Lee and A. Pilaftsis, B-Meson Observables in the Maximally CP-Violating MSSM with Minimal Flavour Violation, Phys. Rev. D 76 (2007) 115011 [arXiv:0708.2079] [SPIRES].
J. Ellis, R.N. Hodgkinson, J.S. Lee and A. Pilaftsis, Flavour Geometry and Effective Yukawa Couplings in the MSSM, JHEP 02 (2010) 016 [arXiv:0911.3611] [SPIRES].
M. Argyrou, A.B. Lahanas and V.C. Spanos, Refining the predictions of supersymmetric CP-violating models: A top-down approach, JHEP 05 (2008) 026 [arXiv:0804.2613] [SPIRES].
G. Colangelo, E. Nikolidakis and C. Smith, Supersymmetric models with minimal flavour violation and their running, Eur. Phys. J. C 59 (2009) 75 [arXiv:0807.0801] [SPIRES].
W. Altmannshofer, A.J. Buras and P. Paradisi, Low Energy Probes of CP-violation in a Flavor Blind MSSM, Phys. Lett. B 669 (2008) 239 [arXiv:0808.0707] [SPIRES].
L. Mercolli and C. Smith, EDM constraints on flavored CP-violating phases, Nucl. Phys. B 817 (2009) 1 [arXiv:0902.1949] [SPIRES].
A.L. Kagan, G. Perez, T. Volansky and J. Zupan, General Minimal Flavor Violation, Phys. Rev. D 80 (2009) 076002 [arXiv:0903.1794] [SPIRES].
R. Zwicky and T. Fischbacher, On discrete Minimal Flavour Violation, Phys. Rev. D 80 (2009) 076009 [arXiv:0908.4182] [SPIRES].
S.M. Carroll, Lecture notes on general relativity, gr-qc/9712019 [SPIRES].
T. Ibrahim and P. Nath, The neutron and the lepton EDMs in MSSM, large CP-violating phases and the cancellation mechanism, Phys. Rev. D 58 (1998) 111301 [Erratum ibid. D 60 (1999) 099902] [hep-ph/9807501] [SPIRES].
M. Brhlik, L.L. Everett, G.L. Kane and J.D. Lykken, A resolution to the supersymmetric CP problem with large soft phases via D-branes, Phys. Rev. Lett. 83 (1999) 2124 [hep-ph/9905215] [SPIRES].
T. Falk and K.A. Olive, Electric Dipole Moment Constraints on Phases in the Constrained MSSM, Phys. Lett. B 375 (1996) 196 [hep-ph/9602299] [SPIRES].
M. Brhlik, G.J. Good and G.L. Kane, Electric dipole moments do not require the CP-violating phases of supersymmetry to be small, Phys. Rev. D 59 (1999) 115004 [hep-ph/9810457] [SPIRES].
V.D. Barger et al., CP-violating phases in SUSY, electric dipole moments and linear colliders, Phys. Rev. D 64 (2001) 056007 [hep-ph/0101106] [SPIRES].
D.A. Demir, O. Lebedev, K.A. Olive, M. Pospelov and A. Ritz, Electric dipole moments in the MSSM at large tan β, Nucl. Phys. B 680 (2004) 339 [hep-ph/0311314] [SPIRES].
K.A. Olive, M. Pospelov, A. Ritz and Y. Santoso, CP-odd phase correlations and electric dipole moments, Phys. Rev. D 72 (2005) 075001 [hep-ph/0506106] [SPIRES].
J.R. Ellis, J.S. Lee and A. Pilaftsis, Electric Dipole Moments in the MSSM Reloaded, JHEP 10 (2008) 049 [arXiv:0808.1819] [SPIRES].
M. Battaglia et al., Proposed post-LEP benchmarks for supersymmetry, Eur. Phys. J. C 22 (2001) 535 [hep-ph/0106204] [SPIRES].
B.C. Allanach et al., The Snowmass points and slopes: Benchmarks for SUSY searches, Eur. Phys. J. C 25 (2002) 113 [hep-ph/0202233] [SPIRES].
N. Ghodbane and H.-U. Martyn, Compilation of SUSY particle spectra from Snowmass 2001 benchmark models, hep-ph/0201233 [SPIRES].
M. Battaglia et al., Updated post-WMAP benchmarks for supersymmetry, Eur. Phys. J. C 33 (2004) 273 [hep-ph/0306219] [SPIRES].
Y. Li, S. P rofumo and M. Ramsey-Musolf, Higgs-Higgsino-Gaugino Induced Two Loop Electric Dipole Moments, Phys. Rev. D 78 (2008) 075009 [arXiv:0806.2693] [SPIRES].
Y. Li, S. Profumo and M. Ramsey-Musolf, A Comprehensive Analysis of Electric Dipole Moment Constraints on CP-violating Phases in the MSSM, JHEP 08 (2010) 062 [arXiv:1006.1440] [SPIRES].
Y.K. Semertzidis et al., Sensitive search for a permanent muon electric dipole moment, hep-ph/0012087 [SPIRES].
T. Aushev et al., Physics at Super B Factory, arXiv:1002.5012 [SPIRES].
M. Pospelov and A. Ritz, Neutron EDM from electric and chromoelectric dipole moments of quarks, Phys. Rev. D 63 (2001) 073015 [hep-ph/0010037] [SPIRES].
M. Pospelov and A. Ritz, Electric dipole moments as probes of new physics, Annals Phys. 318 (2005) 119 [hep-ph/0504231] [SPIRES].
M. Pospelov and A. Ritz, private communications.
CAST collaboration, K. Zioutas et al., First results from the CERN Axion Solar Telescope (CAST), Phys. Rev. Lett. 94 (2005) 121301 [hep-ex/0411033] [SPIRES].
CAST collaboration, S. Andriamonje et al., An improved limit on the axion-photon coupling from the CAST experiment, JCAP 04 (2007) 010 [hep-ex/0702006] [SPIRES].
J .S. Lee et al., CPsuperH: A computational tool for Higgs phenomenology in the minimal supersymmetric standard model with explicit CP-violation, Comput. Phys. Commun. 156 (2004) 283 [hep-ph/0307377] [SPIRES].
J.S. Lee, M. Carena, J. Ellis, A. Pilaftsis and C.E.M. Wagner, CPsuperH2.0: an Improved Computational Tool for Higgs Phenomenology in the MSSM with Explicit CP-violation, Comput. Phys. Commun. 180 (2009) 312 [arXiv:0712.2360] [SPIRES].
A. Pilaftsis, Higgs-boson two-loop contributions to electric dipole moments in the MSSM, Phys. Lett. B 471 (1999) 174 [hep-ph/9909485] [SPIRES].
D. Chang, W.-F. Chang and W.-Y. Keung, Additional two-loop contributions to electric dipole moments in supersymmetric theories, Phys. Lett. B 478 (2000) 239 [hep-ph/9910465] [SPIRES].
T.H. West, Fermion electric dipole moments induced by P-and T -odd WW γinteractions in the minimal supersymmetric standard model and multi-Higgs-boson model, Phys. Rev. D 50 (1994) 7025 [SPIRES].
T. Kadoyoshi and N. Oshimo, Neutron electric dipole moment from supersymmetric anomalous W-boson coupling, Phys. Rev. D 55 (1997) 1481 [hep-ph/9607301] [SPIRES].
D. Chang, W.-F. Chang and W.-Y. Keung, Electric dipole moment in the split supersymmetry models, Phys. Rev. D 71 (2005) 076006 [hep-ph/0503055] [SPIRES].
G.F. Giudice and A. Romanino, Electric dipole moments in split supersymmetry, Phys. Lett. B 634 (2006) 307 [hep-ph/0510197] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1006.3087
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Ellis, J., Sik Lee, J. & Pilaftsis, A. A geometric approach to CP violation: applications to the MCPMFV SUSY model. J. High Energ. Phys. 2010, 49 (2010). https://doi.org/10.1007/JHEP10(2010)049
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2010)049