Abstract
The cosmological constant problem and the absence of new natural physics at the electroweak scale, if confirmed by the LHC, may either indicate that the nature is fine-tuned or that a refined notion of naturalness is required. We construct a family of toy UV complete quantum theories providing a proof of concept for the second possibility. Low energy physics is described by a tuned effective field theory, which exhibits relevant interactions not protected by any symmetries and separated by an arbitrary large mass gap from the new “gravitational” physics, represented by a set of irrelevant operators. Nevertheless, the only available language to describe dynamics at all energy scales does not require any fine-tuning. The interesting novel feature of this construction is that UV physics is not described by a fixed point, but rather exhibits asymptotic fragility. Observation of additional unprotected scalars at the LHC would be a smoking gun for this scenario. Natural tuning also favors TeV scale unification.
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References
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous symmetry breaking, lecture given at Cargese Summer Institute, August 26–September 8, Cargese, France (1979).
D.B. Kaplan and H. Georgi, SU(2) × U(1) breaking by vacuum misalignment, Phys. Lett. B 136 (1984) 183 [INSPIRE].
D.B. Kaplan, H. Georgi and S. Dimopoulos, Composite Higgs scalars, Phys. Lett. B 136 (1984) 187 [INSPIRE].
S. Dimopoulos and H. Georgi, Softly broken supersymmetry and SU(5), Nucl. Phys. B 193 (1981) 150 [INSPIRE].
S. Weinberg, Anthropic bound on the cosmological constant, Phys. Rev. Lett. 59 (1987) 2607 [INSPIRE].
V. Agrawal, S.M. Barr, J.F. Donoghue and D. Seckel, The anthropic principle and the mass scale of the standard model, Phys. Rev. D 57 (1998) 5480 [hep-ph/9707380] [INSPIRE].
N. Arkani-Hamed and S. Dimopoulos, Supersymmetric unification without low energy supersymmetry and signatures for fine-tuning at the LHC, JHEP 06 (2005) 073 [hep-th/0405159] [INSPIRE].
G. Giudice and A. Romanino, Split supersymmetry, Nucl. Phys. B 699 (2004) 65 [Erratum ibid. B 706 (2005) 65-89] [hep-ph/0406088] [INSPIRE].
A. Arvanitaki, N. Craig, S. Dimopoulos and G. Villadoro, Mini-split, JHEP 02 (2013) 126 [arXiv:1210.0555] [INSPIRE].
N. Arkani-Hamed, A. Gupta, D.E. Kaplan, N. Weiner and T. Zorawski, Simply unnatural supersymmetry, arXiv:1212.6971 [INSPIRE].
W.A. Bardeen, On naturalness in the standard model, FERMILAB-CONF-95-391 (1995).
M. Shaposhnikov and D. Zenhausern, Quantum scale invariance, cosmological constant and hierarchy problem, Phys. Lett. B 671 (2009) 162 [arXiv:0809.3406] [INSPIRE].
M. Farina, D. Pappadopulo and A. Strumia, A modified naturalness principle and its experimental tests, JHEP 08 (2013) 022 [arXiv:1303.7244] [INSPIRE].
J. Lykken, Higgs without supersymmetry, talk given at the MITP workshop: The First Three Years Of The LHC, March 18–22, Mainz, Germany (2013).
M. Heikinheimo, A. Racioppi, M. Raidal, C. Spethmann and K. Tuominen, Physical naturalness and dynamical breaking of classical scale invariance, arXiv:1304.7006 [INSPIRE].
R. Rattazzi, V.S. Rychkov, E. Tonni and A. Vichi, Bounding scalar operator dimensions in 4D CFT, JHEP 12 (2008) 031 [arXiv:0807.0004] [INSPIRE].
H. Georgi and S. Glashow, Unity of all elementary particle forces, Phys. Rev. Lett. 32 (1974) 438 [INSPIRE].
S. Weinberg and E. Witten, Limits on massless particles, Phys. Lett. B 96 (1980) 59 [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Solving the simplest theory of quantum gravity, JHEP 09 (2012) 133 [arXiv:1205.6805] [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Effective string theory revisited, JHEP 09 (2012) 044 [arXiv:1203.1054] [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Evidence for a new particle on the worldsheet of the QCD flux tube, Phys. Rev. Lett. 111 (2013) 062006 [arXiv:1301.2325] [INSPIRE].
A. Athenodorou, B. Bringoltz and M. Teper, Closed flux tubes and their string description in D = 3 + 1 SU(N) gauge theories, JHEP 02 (2011) 030 [arXiv:1007.4720] [INSPIRE].
N. Seiberg, L. Susskind and N. Toumbas, Space-time noncommutativity and causality, JHEP 06 (2000) 044 [hep-th/0005015] [INSPIRE].
M.J. Strassler, Nonsupersymmetric theories with light scalar fields and large hierarchies, hep-th/0309122 [INSPIRE].
M.A. Luty and T. Okui, Conformal technicolor, JHEP 09 (2006) 070 [hep-ph/0409274] [INSPIRE].
H.L. Verlinde and E.P. Verlinde, Scattering at Planckian energies, Nucl. Phys. B 371 (1992) 246 [hep-th/9110017] [INSPIRE].
G. Dvali, G.F. Giudice, C. Gomez and A. Kehagias, UV-completion by classicalization, JHEP 08 (2011) 108 [arXiv:1010.1415] [INSPIRE].
G. Dvali, A. Franca and C. Gomez, Road signs for UV-completion, arXiv:1204.6388 [INSPIRE].
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion, JHEP 10 (2006) 014 [hep-th/0602178] [INSPIRE].
D. Amati, M. Ciafaloni and G. Veneziano, Superstring collisions at planckian energies, Phys. Lett. B 197 (1987) 81 [INSPIRE].
D. Amati, M. Ciafaloni and G. Veneziano, Classical and quantum gravity effects from planckian energy superstring collisions, Int. J. Mod. Phys. A 3 (1988) 1615 [INSPIRE].
P. Aichelburg and R. Sexl, On the gravitational field of a massless particle, Gen. Rel. Grav. 2 (1971) 303 [INSPIRE].
G. ’t Hooft, Graviton dominance in ultrahigh-energy scattering, Phys. Lett. B 198 (1987) 61 [INSPIRE].
P. Goddard, J. Goldstone, C. Rebbi and C.B. Thorn, Quantum dynamics of a massless relativistic string, Nucl. Phys. B 56 (1973) 109 [INSPIRE].
L. Mezincescu and P.K. Townsend, Anyons from strings, Phys. Rev. Lett. 105 (2010) 191601 [arXiv:1008.2334] [INSPIRE].
A. Zamolodchikov, From tricritical Ising to critical Ising by thermodynamic Bethe ansatz, Nucl. Phys. B 358 (1991) 524 [INSPIRE].
J. Polchinski and A. Strominger, Effective string theory, Phys. Rev. Lett. 67 (1991) 1681 [INSPIRE].
M. Caselle, D. Fioravanti, F. Gliozzi and R. Tateo, Quantisation of the effective string with TBA, JHEP 07 (2013) 071 [arXiv:1305.1278] [INSPIRE].
L. Castillejo, R. Dalitz and F. Dyson, Low’s scattering equation for the charged and neutral scalar theories, Phys. Rev. 101 (1956) 453 [INSPIRE].
R.J. Eden, P.V. Landshoff, D.I. Olive and J.C. Polkinghorne, The analytic S-matrix, Cambridge University Press, Cambridge U.K. (1966).
P. Dorey, Exact S matrices, hep-th/9810026 [INSPIRE].
D. Iagolnitzer, Factorization of the multiparticle S matrix in two-dimensional space-time models, Phys. Rev. D 18 (1978) 1275 [INSPIRE].
S. Dimopoulos and D.E. Kaplan, The Weak mixing angle from an SU(3) symmetry at a TeV, Phys. Lett. B 531 (2002) 127 [hep-ph/0201148] [INSPIRE].
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ArXiv ePrint: 1305.6939
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Dubovsky, S., Gorbenko, V. & Mirbabayi, M. Natural tuning: towards a proof of concept. J. High Energ. Phys. 2013, 45 (2013). https://doi.org/10.1007/JHEP09(2013)045
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DOI: https://doi.org/10.1007/JHEP09(2013)045