Abstract
We suggest a novel approach to UV-completion of a class of non-renormalizable theories, according to which the high-energy scattering amplitudes get unitarized by production of extended classical objects (classicalons), playing a role analogous to black holes, in the case of non-gravitational theories. The key property of classicalization is the existence of a classicalizer field that couples to energy-momentum sources. Such localized sources are excited in high-energy scattering processes and lead to the formation of classicalons. Two kinds of natural classicalizers are Nambu-Gold stone bosons (or, equivalently, longitudinal polarizations of massive gauge fields) and scalars coupled to energy-momentum type sources. Classicalization has interesting phenomenological applications for the UVcompletion of the Standard Model both with or without the Higgs. In the Higgless Standard Model the high-energy scattering amplitudes of longitudinal W -bosons self-unitarize via classicalization, without the help of any new weakly-coupled physics. Alternatively, in the presence of a Higgs boson, classicalization could explain the stabilization of the hierarchy. In both scenarios the high-energy scatterings are dominated by the formation of classicalons, which subsequently decay into many particle states. The experimental signatures at the LHC are quite distinctive, with sharp differences in the two cases.
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References
G. Dvali, S. Hofmann and J. Khoury, Degravitation of the cosmological constant and graviton width, Phys. Rev. D 76 (2007) 084006 [hep-th/0703027] [SPIRES].
G. ’t Hooft, Graviton Dominance in Ultrahigh-Energy Scattering, Phys. Lett. B 198 (1987) 61 [SPIRES].
I.J. Muzinich and M. Soldate, High-Energy Unitarity of Gravitation and Strings, Phys. Rev. D 37 (1988) 359 [SPIRES].
D. Amati, M. Ciafaloni and G. Veneziano, Superstring Collisions at Planckian Energies, Phys. Lett. B 197 (1987) 81 [SPIRES].
D. Amati, M. Ciafaloni and G. Veneziano, Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions, Int. J. Mod. Phys. A3 (1988) 1615 [SPIRES].
D. Amati, M. Ciafaloni and G. Veneziano, Higher Order Gravitational Deflection And Soft Bremsstrahlung In Planckian Energy Superstring Collisions, Nucl. Phys. B 347 (1990) 550 [SPIRES].
D.J. Gross and P.F. Mende, String Theory Beyond the Planck Scale, Nucl. Phys. B 303 (1988) 407 [SPIRES].
S.B. Giddings, D.J. Gross and A. Maharana, Gravitational effects in ultrahigh-energy string scattering, Phys. Rev. D 77 (2008) 046001 [arXiv:0705.1816] [SPIRES].
D. Amati, M. Ciafaloni and G. Veneziano, Can Space-Time Be Probed Below the String Size?, Phys. Lett. B 216 (1989) 41 [SPIRES].
K. Konishi, G. Paffuti and P. Provero, Minimum Physical Length and the Generalized Uncertainty Principle in String Theory, Phys. Lett. B 234 (1990) 276 [SPIRES].
E. Witten, Reflections on the fate of space-time, Phys. Today 49 (1996) 24 [SPIRES].
S.B. Giddings and M. Srednicki, High-energy gravitational scattering and black hole resonances, Phys. Rev. D 77 (2008) 085025 [arXiv:0711.5012] [SPIRES].
S.B. Giddings, M. Schmidt-Sommerfeld and J.R. Andersen, High energy scattering in gravity and supergravity, Phys. Rev. D 82 (2010) 104022 [arXiv:1005.5408] [SPIRES].
G. Dvali and C. Gomez, Self-Completeness of Einstein Gravity, arXiv:1005.3497 [SPIRES].
C. Csáki, C. Grojean, H. Murayama, L. Pilo and J. Terning, Gauge theories on an interval: Unitarity without a Higgs, Phys. Rev. D 69 (2004) 055006 [hep-ph/0305237] [SPIRES].
G. Dvali, Black holes with flavors of quantum hair?, hep-th/0607144 [SPIRES].
E. Witten, Dyons of Charge eθ/2π, Phys. Lett. B 86 (1979) 283 [SPIRES].
C. Deffayet, G.R. Dvali, G. Gabadadze and A.I. Vainshtein, Nonperturbative continuity in graviton mass versus perturbative discontinuity, Phys. Rev. D 65 (2002) 044026 [hep-th/0106001] [SPIRES].
A. Gruzinov, On the graviton mass, New Astron. 10 (2005) 311 [astro-ph/0112246] [SPIRES].
A. Nicolis and R. Rattazzi, Classical and quantum consistency of the DGP model, JHEP 06 (2004) 059 [hep-th/0404159] [SPIRES].
A.I. Vainshtein, To the problem of nonvanishing gravitation mass, Phys. Lett. B 39 (1972) 393 [SPIRES].
G. Dvali, C. Gomez and S. Mukhanov, Probing Quantum Geometry at LHC, JHEP 02 (2011) 012 [arXiv:1006.2466] [SPIRES].
N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315] [SPIRES].
I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398] [SPIRES].
T. Banks and W. Fischler, A model for high energy scattering in quantum gravity, hep-th/9906038 [SPIRES].
G. Dvali, G. Gabadadze, M. Kolanovic and F. Nitti, Scales of gravity, Phys. Rev. D 65 (2002) 024031 [hep-th/0106058] [SPIRES].
S.B. Giddings and S.D. Thomas, High energy colliders as black hole factories: The end of short distance physics, Phys. Rev. D 65 (2002) 056010 [hep-ph/0106219] [SPIRES].
S. Dimopoulos and G.L. Landsberg, Black Holes at the LHC, Phys. Rev. Lett. 87 (2001) 161602 [hep-ph/0106295] [SPIRES].
G. Veneziano, A Stringy Nature Needs Just Two Constants, Europhys. Lett. 2 (1986) 199 [SPIRES].
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Dvali, G., Giudice, G.F., Gomez, C. et al. UV-completion by classicalization. J. High Energ. Phys. 2011, 108 (2011). https://doi.org/10.1007/JHEP08(2011)108
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DOI: https://doi.org/10.1007/JHEP08(2011)108