Abstract
To solve the hierarchy problem, extra-dimensional models must explain why the new dimensions stabilize to the right size, and the known mechanisms for doing so require bulk scalars that couple to the branes. Because of these couplings the energetics of dimensional stabilization competes with the energetics of the Higgs vacuum, with potentially observable effects. These effects are particularly strong for one or two extra dimensions because the bulk-Higgs couplings can then be super-renormalizable or dimensionless. Experimental reach for such extra-dimensional Higgs ‘portals’ are stronger than for gravitational couplings because they are less suppressed at low-energies. We compute how Higgs-bulk coupling through such a portal with two extra dimensions back-reacts onto properties of the Higgs boson. When the KK mass is smaller than the Higgs mass, mixing with KK modes results in an invisible Higgs decay width, missing-energy signals at high-energy colliders, and new mechanisms of energy loss in stars and supernovae. Astrophysical bounds turn out to be complementary to collider measurements, with observable LHC signals allowed by existing constraints. We comment on the changes to the Higgs mass-coupling relationship caused by Higgs-bulk mixing, and how the resulting modifications to the running of Higgs couplings alter vacuum-stability and triviality bounds.
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References
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].
S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
S. Weinberg, Implications of dynamical symmetry breaking, Phys. Rev. D 13 (1976) 974 [INSPIRE].
L. Susskind, Dynamics of spontaneous symmetry breaking in the Weinberg-Salam theory, Phys. Rev. D 20 (1979) 2619 [INSPIRE].
E. Farhi and L. Susskind, Technicolor, Phys. Rept. 74 (1981) 277 [INSPIRE].
J. Wess and B. Zumino, Supergauge transformations in four-dimensions, Nucl. Phys. B 70 (1974) 39 [INSPIRE].
E. Witten, Dynamical breaking of supersymmetry, Nucl. Phys. B 188 (1981) 513 [INSPIRE].
S. Dimopoulos and H. Georgi, Softly broken supersymmetry and SU(5), Nucl. Phys. B 193 (1981) 150 [INSPIRE].
H.P. Nilles, Supersymmetry, supergravity and particle physics, Phys. Rept. 110 (1984) 1 [INSPIRE].
H.E. Haber and G.L. Kane, The search for supersymmetry: probing physics beyond the Standard Model, Phys. Rept. 117 (1985) 75 [INSPIRE].
C. Burgess, J. Matias and F. Quevedo, MSLED: a minimal supersymmetric large extra dimensions scenario, Nucl. Phys. B 706 (2005) 71 [hep-ph/0404135] [INSPIRE].
J. Matias and C. Burgess, MSLED, neutrino oscillations and the cosmological constant, JHEP 09 (2005) 052 [hep-ph/0508156] [INSPIRE].
D. Volkov and V. Akulov, Is the neutrino a Goldstone particle?, Phys. Lett. B 46 (1973) 109 [INSPIRE].
E. Ivanov and A. Kapustnikov, General relationship between linear and nonlinear realizations of supersymmetry, J. Phys. A 11 (1978) 2375 [INSPIRE].
E. Ivanov and A. Kapustnikov, The nonlinear realization structure of models with spontaneously broken supersymmetry, J. Phys. G 8 (1982) 167 [INSPIRE].
S. Samuel and J. Wess, A superfield formulation of the nonlinear realization of supersymmetry and its coupling to supergravity, Nucl. Phys. B 221 (1983) 153 [INSPIRE].
J. Bagger and J. Wess, Partial breaking of extended supersymmetry, Phys. Lett. B 138 (1984) 105 [INSPIRE].
J. Hughes and J. Polchinski, Partially broken global supersymmetry and the superstring, Nucl. Phys. B 278 (1986) 147 [INSPIRE].
L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE].
N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315] [INSPIRE].
I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398] [INSPIRE].
F. Coradeschi, S. De Curtis, D. Dominici and J.R. Pelaez, Modified spontaneous symmetry breaking pattern by brane-bulk interaction terms, JHEP 04 (2008) 048 [arXiv:0712.0537] [INSPIRE].
G.F. Giudice, R. Rattazzi and J.D. Wells, Graviscalars from higher dimensional metrics and curvature Higgs mixing, Nucl. Phys. B 595 (2001) 250 [hep-ph/0002178] [INSPIRE].
D. Dominici and J.F. Gunion, Invisible Higgs decays from Higgs graviscalar mixing, Phys. Rev. D 80 (2009) 115006 [arXiv:0902.1512] [INSPIRE].
E. Dudas, C. Papineau and V. Rubakov, Flowing to four dimensions, JHEP 03 (2006) 085 [hep-th/0512276] [INSPIRE].
C. Burgess, C. de Rham and L. van Nierop, The hierarchy problem and the self-localized Higgs, JHEP 08 (2008) 061 [arXiv:0802.4221] [INSPIRE].
P. Beauchemin, G. Azuelos and C. Burgess, Dimensionless coupling of bulk scalars at the LHC, J. Phys. G 30 (2004) N17 [hep-ph/0407196] [INSPIRE].
G. Azuelos, P. Beauchemin and C. Burgess, Phenomenological constraints on extra dimensional scalars, J. Phys. G 31 (2005) 1 [hep-ph/0401125] [INSPIRE].
N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity, Phys. Rev. D 59 (1999) 086004 [hep-ph/9807344] [INSPIRE].
G.F. Giudice, R. Rattazzi and J.D. Wells, Quantum gravity and extra dimensions at high-energy colliders, Nucl. Phys. B 544 (1999) 3 [hep-ph/9811291] [INSPIRE].
T. Han, J.D. Lykken and R.-J. Zhang, On Kaluza-Klein states from large extra dimensions, Phys. Rev. D 59 (1999) 105006 [hep-ph/9811350] [INSPIRE].
K. Lanczos, Bemerkung zur de Sitterschen Welt (in German), Phys. Z. 23 (1922) 239.
K. Lanczos, Flächenhafte Verteilung der Materie in der Einsteinschen Gravitationstheorie (in German), Ann. Phys. 379 (1924) 518.
C.W. Misner and D.H. Sharp, Relativistic equations for adiabatic, spherically symmetric gravitational collapse, Phys. Rev. 136 (1964) B571.
W. Israel, Singular hypersurfaces and thin shells in general relativity, Nuov. Cim. B 44 (1966) 1 [Erratum ibid. B 48 (1967) 463].
C. Burgess, D. Hoover, C. de Rham and G. Tasinato, Effective field theories and matching for codimension-2 branes, JHEP 03 (2009) 124 [arXiv:0812.3820] [INSPIRE].
A. Bayntun, C. Burgess and L. van Nierop, Codimension-2 brane-bulk matching: examples from six and ten dimensions, New J. Phys. 12 (2010) 075015 [arXiv:0912.3039] [INSPIRE].
W.D. Goldberger and M.B. Wise, Renormalization group flows for brane couplings, Phys. Rev. D 65 (2002) 025011 [hep-th/0104170] [INSPIRE].
T. Kobayashi, UV caps, IR modification of gravity and recovery of 4D gravity in regularized braneworlds, Phys. Rev. D 78 (2008) 084018 [arXiv:0806.0924] [INSPIRE].
C. de Rham, The effective field theory of codimension-two branes, JHEP 01 (2008) 060 [arXiv:0707.0884] [INSPIRE].
C. de Rham, Classical renormalization of codimension-two brane couplings, AIP Conf. Proc. 957 (2007) 309 [arXiv:0710.4598] [INSPIRE].
W.D. Goldberger and M.B. Wise, Modulus stabilization with bulk fields, Phys. Rev. Lett. 83 (1999) 4922 [hep-ph/9907447] [INSPIRE].
C. Burgess and L. van Nierop, Large dimensions and small curvatures from supersymmetric brane back-reaction, JHEP 04 (2011) 078 [arXiv:1101.0152] [INSPIRE].
H. Nishino and E. Sezgin, Matter and gauge couplings of N = 2 supergravity in six-dimensions, Phys. Lett. B 144 (1984) 187 [INSPIRE].
H. Nishino and E. Sezgin, The complete N = 2, D = 6 supergravity with matter and Yang-Mills couplings, Nucl. Phys. B 278 (1986) 353 [INSPIRE].
S. Randjbar-Daemi, A. Salam, E. Sezgin and J. Strathdee, An anomaly free model in six-dimensions, Phys. Lett. B 151 (1985) 351 [INSPIRE].
A. Salam and E. Sezgin, Chiral compactification on Minkowski X S 2 of N = 2 Einstein-Maxwell supergravity in six-dimensions, Phys. Lett. B 147 (1984) 47 [INSPIRE].
Y. Aghababaie, C. Burgess, S. Parameswaran and F. Quevedo, Towards a naturally small cosmological constant from branes in 6D supergravity, Nucl. Phys. B 680 (2004) 389 [hep-th/0304256] [INSPIRE].
C. Burgess, D. Hoover and G. Tasinato, UV caps and modulus stabilization for 6D gauged chiral supergravity, JHEP 09 (2007) 124 [arXiv:0705.3212] [INSPIRE].
C. Burgess and L. van Nierop, Bulk axions, brane back-reaction and fluxes, JHEP 02 (2011) 094 [arXiv:1012.2638] [INSPIRE].
C. Burgess, Supersymmetric large extra dimensions and the cosmological constant: an update, Annals Phys. 313 (2004) 283 [hep-th/0402200] [INSPIRE].
C. Burgess, Towards a natural theory of dark energy: supersymmetric large extra dimensions, AIP Conf. Proc. 743 (2005) 417 [hep-th/0411140] [INSPIRE].
C. Burgess and D. Hoover, UV sensitivity in supersymmetric large extra dimensions: the Ricci-flat case, Nucl. Phys. B 772 (2007) 175 [hep-th/0504004] [INSPIRE].
D. Hoover and C. Burgess, Ultraviolet sensitivity in higher dimensions, JHEP 01 (2006) 058 [hep-th/0507293] [INSPIRE].
C. Burgess, D. Hoover and G. Tasinato, Technical naturalness on a codimension-2 brane, JHEP 06 (2009) 014 [arXiv:0903.0402] [INSPIRE].
M. Williams, C. Burgess, L. van Nierop and A. Salvio, Running with rugby balls: bulk renormalization of codimension-2 branes, JHEP 01 (2013) 102 [arXiv:1210.3753] [INSPIRE].
C. Burgess, L. van Nierop, S. Parameswaran, A. Salvio and M. Williams, Accidental SUSY: enhanced bulk supersymmetry from brane back-reaction, JHEP 02 (2013) 120 [arXiv:1210.5405] [INSPIRE].
F. Leblond, Geometry of large extra dimensions versus graviton emission, Phys. Rev. D 64 (2001) 045016 [hep-ph/0104273] [INSPIRE].
G. Gibbons, R. Güven and C. Pope, 3-branes and uniqueness of the Salam-Sezgin vacuum, Phys. Lett. B 595 (2004) 498 [hep-th/0307238] [INSPIRE].
Y. Aghababaie et al., Warped brane worlds in six-dimensional supergravity, JHEP 09 (2003) 037 [hep-th/0308064] [INSPIRE].
C. Burgess, F. Quevedo, G. Tasinato and I. Zavala, General axisymmetric solutions and self-tuning in 6D chiral gauged supergravity, JHEP 11 (2004) 069 [hep-th/0408109] [INSPIRE].
S. Parameswaran, G. Tasinato and I. Zavala, The 6D superswirl, Nucl. Phys. B 737 (2006) 49 [hep-th/0509061] [INSPIRE].
H.M. Lee and C. Lüdeling, The general warped solution with conical branes in six-dimensional supergravity, JHEP 01 (2006) 062 [hep-th/0510026] [INSPIRE].
A.J. Tolley, C. Burgess, D. Hoover and Y. Aghababaie, Bulk singularities and the effective cosmological constant for higher co-dimension branes, JHEP 03 (2006) 091 [hep-th/0512218] [INSPIRE].
A.J. Tolley, C.P. Burgess, C. de Rham and D. Hoover, Scaling solutions to 6D gauged chiral supergravity, New J. Phys. 8 (2006) 324 [hep-th/0608083] [INSPIRE].
A.J. Tolley, C. Burgess, C. de Rham and D. Hoover, Exact wave solutions to 6D gauged chiral supergravity, JHEP 07 (2008) 075 [arXiv:0710.3769] [INSPIRE].
M. Minamitsuji, Instability of brane cosmological solutions with flux compactifications, Class. Quant. Grav. 25 (2008) 075019 [arXiv:0801.3080] [INSPIRE].
C. Burgess, C. de Rham, D. Hoover, D. Mason and A. Tolley, Kicking the rugby ball: perturbations of 6D gauged chiral supergravity, JCAP 02 (2007) 009 [hep-th/0610078] [INSPIRE].
S. Parameswaran, S. Randjbar-Daemi and A. Salvio, General perturbations for braneworld compactifications and the six dimensional case, JHEP 03 (2009) 136 [arXiv:0902.0375] [INSPIRE].
P.P. Giardino, K. Kannike, M. Raidal and A. Strumia, Reconstructing Higgs boson properties from the LHC and Tevatron data, JHEP 06 (2012) 117 [arXiv:1203.4254] [INSPIRE].
J.R. Espinosa, M. Muhlleitner, C. Grojean and M. Trott, Probing for invisible Higgs decays with global fits, JHEP 09 (2012) 126 [arXiv:1205.6790] [INSPIRE].
D. Carmi, A. Falkowski, E. Kuflik, T. Volansky and J. Zupan, Higgs after the discovery: a status report, JHEP 10 (2012) 196 [arXiv:1207.1718] [INSPIRE].
B.A. Dobrescu and J.D. Lykken, Coupling spans of the Higgs-like boson, JHEP 02 (2013) 073 [arXiv:1210.3342] [INSPIRE].
G.G. Raffelt, Stars as laboratories for fundamental physics: the astrophysics of neutrinos, axions, and other weakly interacting particles, Chicago Univ. Pr., Chicago U.S.A. (1996).
S. Hannestad and G.G. Raffelt, Stringent neutron star limits on large extra dimensions, Phys. Rev. Lett. 88 (2002) 071301 [hep-ph/0110067] [INSPIRE].
S. Hannestad and G. Raffelt, New supernova limit on large extra dimensions, Phys. Rev. Lett. 87 (2001) 051301 [hep-ph/0103201] [INSPIRE].
S. Cullen and M. Perelstein, SN1987a constraints on large compact dimensions, Phys. Rev. Lett. 83 (1999) 268 [hep-ph/9903422] [INSPIRE].
V.D. Barger, T. Han, C. Kao and R.-J. Zhang, Astrophysical constraints on large extra dimensions, Phys. Lett. B 461 (1999) 34 [hep-ph/9905474] [INSPIRE].
D. Atwood et al., Supersymmetric large extra dimensions are small and/or numerous, Phys. Rev. D 63 (2001) 025007 [hep-ph/0007178] [INSPIRE].
J.P. Miller, E. de Rafael and B.L. Roberts, Muon (g-2): experiment and theory, Rept. Prog. Phys. 70 (2007) 795 [hep-ph/0703049] [INSPIRE].
LEP Higgs Working for Higgs boson searches, ALEPH, DELPHI, CERN-L3 and OPAL collaborations, Searches for invisible Higgs bosons: preliminary combined results using LEP data collected at energies up to 209 GeV, hep-ex/0107032 [INSPIRE].
J.R. Ellis, M.K. Gaillard and D.V. Nanopoulos, A phenomenological profile of the Higgs boson, Nucl. Phys. B 106 (1976) 292 [INSPIRE].
J.F. Gunion, H.E. Haber, G.L. Kane and S. Dawson, The Higgs hunter’s guide, Front. Phys. 80 (2000) 1 [INSPIRE].
A. Djouadi, The anatomy of electro-weak symmetry breaking. I: the Higgs boson in the Standard Model, Phys. Rept. 457 (2008) 1 [hep-ph/0503172] [INSPIRE].
C. Burgess, J. Matias and M. Pospelov, A Higgs or not a Higgs? What to do if you discover a new scalar particle, Int. J. Mod. Phys. A 17 (2002) 1841 [hep-ph/9912459] [INSPIRE].
ATLAS collaboration, Search for new phenomena with the monojet and missing transverse momentum signature using the ATLAS detector in \( \sqrt{s}=7 \) TeV proton-proton collisions, Phys. Lett. B 705 (2011) 294 [arXiv:1106.5327] [INSPIRE].
ATLAS collaboration, Search for new phenomena in monojet plus missing transverse momentum final states using 1 fb−1 of pp collisions at \( \sqrt{s}=7 \) TeV with the ATLAS detector, ATLAS-CONF-2011-096, CERN, Geneva Switzerland (2011).
C. Englert, J. Jaeckel, E. Re and M. Spannowsky, Evasive Higgs maneuvers at the LHC, Phys. Rev. D 85 (2012) 035008 [arXiv:1111.1719] [INSPIRE].
CMS collaboration, Search for dark matter and large extra dimensions in monojet events in pp collisions at \( \sqrt{s}=7 \) TeV, JHEP 09 (2012) 094 [arXiv:1206.5663] [INSPIRE].
CMS collaboration, Search for new physics with a monojet and missing transverse energy in pp collisions at \( \sqrt{s}=7 \) TeV, CMS-PAS-EXO-11-059, CERN, Geneva Switzerland (2011).
A. Djouadi, A. Falkowski, Y. Mambrini and J. Quevillon, Direct detection of Higgs-portal dark matter at the LHC, arXiv:1205.3169 [INSPIRE].
Y. Bai, P. Draper and J. Shelton, Measuring the invisible Higgs width at the 7 and 8 TeV LHC, JHEP 07 (2012) 192 [arXiv:1112.4496] [INSPIRE].
D. Ghosh, R. Godbole, M. Guchait, K. Mohan and D. Sengupta, Looking for an invisible Higgs signal at the LHC, arXiv:1211.7015 [INSPIRE].
G. Raffelt and D. Seckel, Multiple scattering suppression of the bremsstrahlung emission of neutrinos and axions in supernovae, Phys. Rev. Lett. 67 (1991) 2605 [INSPIRE].
J. Grifols, E. Masso and S. Peris, Energy loss from the sun and red giants: bounds on short range baryonic and leptonic forces, Mod. Phys. Lett. A 4 (1989) 311 [INSPIRE].
C. Burgess, M. Pospelov and T. ter Veldhuis, The minimal model of nonbaryonic dark matter: a singlet scalar, Nucl. Phys. B 619 (2001) 709 [hep-ph/0011335] [INSPIRE].
N. Ishizuka and M. Yoshimura, Axion and dilaton emissivity from nascent neutron stars, Prog. Theor. Phys. 84 (1990) 233 [INSPIRE].
C. Hanhart, D.R. Phillips and S. Reddy, Neutrino and axion emissivities of neutron stars from nucleon-nucleon scattering data, Phys. Lett. B 499 (2001) 9 [astro-ph/0003445] [INSPIRE].
C. Hanhart, D.R. Phillips, S. Reddy and M.J. Savage, Extra dimensions, SN1987a and nucleon-nucleon scattering data, Nucl. Phys. B 595 (2001) 335 [nucl-th/0007016] [INSPIRE].
D. Arndt and P.J. Fox, Saxion emission from SN1987a, JHEP 02 (2003) 036 [hep-ph/0207098] [INSPIRE].
S. Weinberg, Mass of the Higgs boson, Phys. Rev. Lett. 36 (1976) 294 [INSPIRE].
A.D. Linde, Dynamical symmetry restoration and constraints on masses and coupling constants in gauge theories, JETP Lett. 23 (1976) 64 [Pisma Zh. Eksp. Teor. Fiz. 23 (1976) 73] [INSPIRE].
B. Grzadkowski and M. Lindner, Stability of triviality mass bounds in the Standard Model, Phys. Lett. B 178 (1986) 81 [INSPIRE].
M. Lüscher and P. Weisz, Scaling laws and triviality bounds in the lattice ϕ 4 theory. 1. One component model in the symmetric phase, Nucl. Phys. B 290 (1987) 25 [INSPIRE].
M. Lüscher and P. Weisz, Scaling laws and triviality bounds in the lattice ϕ 4 theory. 2. One component model in the phase with spontaneous symmetry breaking, Nucl. Phys. B 295 (1988) 65 [INSPIRE].
S. Dawson, Introduction to electroweak symmetry breaking, hep-ph/9901280 [INSPIRE].
T. Cheng, E. Eichten and L.-F. Li, Higgs phenomena in asymptotically free gauge theories, Phys. Rev. D 9 (1974) 2259 [INSPIRE].
T. Han and Z. Liu, Direct measurement of the Higgs boson total width at a muon collider, Phys. Rev. D 87 (2013) 033007 [arXiv:1210.7803] [INSPIRE].
H. Baer et al., Physics at the International Linear Collider, physics chapter of the ILC detailed baseline design report, preliminary version, http://lcsim.org/papers/DBDPhysics.pdf, draft of January 22 2013.
J.-W. Chen, M.A. Luty and E. Ponton, A critical cosmological constant from millimeter extra dimensions, JHEP 09 (2000) 012 [hep-th/0003067] [INSPIRE].
F. Leblond, R.C. Myers and D.J. Winters, Consistency conditions for brane worlds in arbitrary dimensions, JHEP 07 (2001) 031 [hep-th/0106140] [INSPIRE].
S.M. Carroll and M.M. Guica, Sidestepping the cosmological constant with football shaped extra dimensions, hep-th/0302067 [INSPIRE].
C. Burgess and L. van Nierop, Technically natural cosmological constant from supersymmetric 6D brane backreaction, arXiv:1108.0345 [INSPIRE].
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Diener, R., Burgess, C.P. Bulk stabilization, the extra-dimensional Higgs portal and missing energy in Higgs events. J. High Energ. Phys. 2013, 78 (2013). https://doi.org/10.1007/JHEP05(2013)078
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DOI: https://doi.org/10.1007/JHEP05(2013)078