zbMATH — the first resource for mathematics

The universal Real Projective Plane: LHC phenomenology at one loop. (English) Zbl 1303.81105
Summary: The Real Projective Plane is the lowest dimensional orbifold which, when combined with the usual Minkowski space-time, gives rise to a unique model in six flat dimensions possessing an exact Kaluza Klein (KK) parity as a relic symmetry of the broken six dimensional Lorentz group. As a consequence of this property, any model formulated on this background will include a stable Dark Matter candidate. Loop corrections play a crucial role because they remove mass degeneracy in the tiers of KK modes and induce new couplings which mediate decays. We study the full one loop structure of the corrections by means of counter-terms localised on the two singular points. As an application, the LHC phenomenology of the (2, 0) and (0, 2) tiers is discussed. We identify promising signatures with single and di-lepton, top anti-top and 4 tops: in the di-lepton channel, present data from CMS and ATLAS may already exclude KK masses up to 250 GeV, while by next year they may cover the whole mass range preferred by WMAP data.

81T10 Model quantum field theories
81T18 Feynman diagrams
83E15 Kaluza-Klein and other higher-dimensional theories
57R18 Topology and geometry of orbifolds
81R40 Symmetry breaking in quantum theory
83F05 Relativistic cosmology
FeynRules; CompHep
Full Text: DOI arXiv
[1] Farrar, GR; Fayet, P., Phenomenology of the production, decay and detection of new hadronic states associated with supersymmetry, Phys. Lett., B 76, 575, (1978)
[2] Barbier, R.; etal., R-parity violating supersymmetry, Phys. Rept., 420, 1, (2005)
[3] Cheng, H-C; Low, I., TeV symmetry and the little hierarchy problem, JHEP, 09, 051, (2003)
[4] Cheng, H-C; Low, I., Little hierarchy, little higgses and a little symmetry, JHEP, 08, 061, (2004)
[5] Low, I., T parity and the littlest Higgs, JHEP, 10, 067, (2004)
[6] Appelquist, T.; Cheng, H-C; Dobrescu, BA, Bounds on universal extra dimensions, Phys. Rev, D 64, 035002, (2001)
[7] Dobrescu, BA; Ponton, E., Chiral compactification on a square, JHEP, 03, 071, (2004)
[8] Servant, G.; Tait, TM, Is the lightest Kaluza-Klein particle a viable dark matter candidate?, Nucl. Phys., B 650, 391, (2003)
[9] Cheng, H-C; Feng, JL; Matchev, KT, Kaluza-Klein dark matter, Phys. Rev. Lett., 89, 211301, (2002)
[10] Cheng, H-C; Matchev, KT; Schmaltz, M., Radiative corrections to Kaluza-Klein masses, Phys. Rev., D 66, 036005, (2002)
[11] Ponton, E.; Wang, L., Radiative effects on the chiral square, JHEP, 11, 018, (2006)
[12] Cacciapaglia, G.; Deandrea, A.; Llodra-Perez, J., A dark matter candidate from Lorentz invariance in 6D, JHEP, 03, 083, (2010)
[13] G. Cacciapaglia, A. Deandrea, J. Llodra-Perez and B. Kubik-Deriaz, Dark matter from Lorentz invariance and the LHC, PoS(EPS-HEP 2009)250.
[14] Dohi, H.; Oda, K., Universal extra dimensions on real projective plane, Phys. Lett., B 692, 114, (2010)
[15] C. Itzykson and J.B. Zuber, International Series In Pure and Applied Physics: Quantum Field Theory, McGraw-hill, New York U.S.A. (1980).
[16] A. Pukhov et al., CompHEP: A Package for evaluation of Feynman diagrams and integration over multiparticle phase space. User’s manual for version 33, hep-ph/9908288 [inSPIRE].
[17] http://theory.sinp.msu.ru/pukhov/calchep.html.
[18] Christensen, ND; Duhr, C., Feynrules — Feynman rules made easy, Comput. Phys. Commun., 180, 1614, (2009)
[19] J. Llodra-Perez, Effective Models of New Physics at the Large Hadron Collider, Ph.D. Thesis, University Claude Bernard Lyon 1, Villeurbanne France (2011).
[20] Puchwein, M.; Kunszt, Z., Radiative corrections with 5− D mixed position/momentum space propagators, Annals Phys., 311, 288, (2004)
[21] G. Cacciapaglia, R. Chierici, A. Deandrea, L. Panizzi, S. Perries and S. Tosi, Four tops on the real projective plane at LHC,report number LYCEN 2011-04 [arXiv:1107.4616] [inSPIRE].
[22] WMAP collaboration; Komatsu, E.; etal., Seven-year wilkinson microwave anisotropy probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl., 192, 18, (2011)
[23] G. Cacciapaglia, A. Deandrea and B. Kubik-Deriaz, Dark Matter on the Real Projective Plane: abundance and detection, work in preparation.
[24] ATLAS collaboration; Aad, G.; etal., Search for high mass dilepton resonances in pp collisions at \( \sqrt {s} = 7 \) TeV with the ATLAS experiment, Phys. Lett., B 700, 163, (2011)
[25] CMS collaboration; Chatrchyan, S.; etal., Search for resonances in the dilepton mass distribution in pp collisions at \( \sqrt {{(s)}} = 7 \) TeV, JHEP, 05, 093, (2011)
[26] ATLAS collaboration; Aad, G.; etal., Search for high-mass states with one lepton plus missing transverse momentum in proton-proton collisions at \( \sqrt {s} = 7 \) TeV with the ATLAS detector, Phys. Lett., B 701, 50, (2011)
[27] CMS collaboration; Chatrchyan, S.; etal., Search for a W′ boson decaying to a muon and a neutrino in pp collisions at \( \sqrt {s} = 7 \) TeV, Phys. Lett., B 701, 160, (2011)
[28] ATLAS collaboration, G. Aad et al., Search for a heavy gauge boson decaying to a charged lepton and a neutrino in 1 fb\^{}{−1}of pp collisions at\( \sqrt {s} = 7 \)TeV using the ATLAS detector, arXiv:1108.1316 [inSPIRE].
[29] G. Aad et al., Search for dilepton resonances in pp collisions at\( \sqrt {s} = 7 \)TeV with the ATLAS detector, arXiv:1108.1582 [inSPIRE].
[30] https://twiki.cern.ch/twiki/bin/view/CMSPublic/PhysicsResultsEXO11019.
[31] https://twiki.cern.ch/twiki/bin/view/CMSPublic/PhysicsResultsEXO11024.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.