Abstract
The continuum clockwork is an extra-dimensional set-up to realize certain features of the clockwork mechanism generating exponentially suppressed or hierarchical couplings of light particles. We study the continuum clockwork in a general scheme in which large volume, warped geometry, and localization of zero modes in extra dimension are described by independent parameters. For this, we propose a generalized 5-dimensional linear dilaton model which can realize such set-up as a solution of the model, and examine the KK spectrum and the couplings of zero modes and massive KK modes to boundary-localized operators for the bulk graviton, Abelian gauge bosons and periodic scalar fields. We discuss how those KK spectra and couplings vary as a function of the volume, warping and localization parameters, and highlight the behavior in the parameter region corresponding to the clockwork limit. We discuss also the field range of 4-dimensional axions originating from either 5-dimensional periodic scalar field or the 5-th component of an Abelian gauge field, and comment on the limitations of continuum clockwork compared to the discrete clockwork.
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References
K. Choi, H. Kim and S. Yun, Natural inflation with multiple sub-Planckian axions, Phys. Rev. D 90 (2014) 023545 [arXiv:1404.6209] [INSPIRE].
K. Choi and S.H. Im, Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry, JHEP 01 (2016) 149 [arXiv:1511.00132] [INSPIRE].
D.E. Kaplan and R. Rattazzi, Large field excursions and approximate discrete symmetries from a clockwork axion, Phys. Rev. D 93 (2016) 085007 [arXiv:1511.01827] [INSPIRE].
P. Saraswat, Weak gravity conjecture and effective field theory, Phys. Rev. D 95 (2017) 025013 [arXiv:1608.06951] [INSPIRE].
G.F. Giudice and M. McCullough, A Clockwork Theory, JHEP 02 (2017) 036 [arXiv:1610.07962] [INSPIRE].
T. Higaki, K.S. Jeong, N. Kitajima and F. Takahashi, The QCD Axion from Aligned Axions and Diphoton Excess, Phys. Lett. B 755 (2016) 13 [arXiv:1512.05295] [INSPIRE].
N. Fonseca, L. de Lima, C.S. Machado and R.D. Matheus, Large field excursions from a few site relaxion model, Phys. Rev. D 94 (2016) 015010 [arXiv:1601.07183] [INSPIRE].
A. Kehagias and A. Riotto, Clockwork Inflation, Phys. Lett. B 767 (2017) 73 [arXiv:1611.03316] [INSPIRE].
M. Farina, D. Pappadopulo, F. Rompineve and A. Tesi, The photo-philic QCD axion, JHEP 01 (2017) 095 [arXiv:1611.09855] [INSPIRE].
A. Ahmed and B.M. Dillon, Clockwork Goldstone Bosons, Phys. Rev. D 96 (2017) 115031 [arXiv:1612.04011] [INSPIRE].
T. Hambye, D. Teresi and M.H.G. Tytgat, A Clockwork WIMP, JHEP 07 (2017) 047 [arXiv:1612.06411] [INSPIRE].
G. von Gersdorff, Natural Fermion Hierarchies from Random Yukawa Couplings, JHEP 09 (2017) 094 [arXiv:1705.05430] [INSPIRE].
D. Teresi, Clockwork Dark Matter, in Proceedings, 52nd Rencontres de Moriond on Electroweak Interactions and Unified Theories, La Thuile, Italy, March 18–25, 2017, pp. 155–161 (2017) [arXiv:1705.09698] [INSPIRE].
R. Coy, M. Frigerio and M. Ibe, Dynamical Clockwork Axions, JHEP 10 (2017) 002 [arXiv:1706.04529] [INSPIRE].
I. Ben-Dayan, Generalized Clockwork Theory, arXiv:1706.05308 [INSPIRE].
D.K. Hong, D.H. Kim and C.S. Shin, Clockwork graviton contributions to muon g − 2, Phys. Rev. D 97 (2018) 035014 [arXiv:1706.09376] [INSPIRE].
S.C. Park and C.S. Shin, Clockwork seesaw mechanisms, Phys. Lett. B 776 (2018) 222 [arXiv:1707.07364] [INSPIRE].
H.M. Lee, Gauged U(1) clockwork theory, Phys. Lett. B 778 (2018) 79 [arXiv:1708.03564] [INSPIRE].
P. Agrawal, G. Marques-Tavares and W. Xue, Opening up the QCD axion window, JHEP 03 (2018) 049 [arXiv:1708.05008] [INSPIRE].
J. Kim and J. McDonald, A Clockwork Higgs Portal Model for Freeze-In Dark Matter, arXiv:1709.04105 [INSPIRE].
P. Agrawal, J. Fan, M. Reece and L.-T. Wang, Experimental Targets for Photon Couplings of the QCD Axion, JHEP 02 (2018) 006 [arXiv:1709.06085] [INSPIRE].
A. Ibarra, A. Kushwaha and S.K. Vempati, Clockwork for Neutrino Masses and Lepton Flavor Violation, Phys. Lett. B 780 (2018) 86 [arXiv:1711.02070] [INSPIRE].
K.M. Patel, Clockwork mechanism for flavor hierarchies, Phys. Rev. D 96 (2017) 115013 [arXiv:1711.05393] [INSPIRE].
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force, JHEP 06 (2007) 060 [hep-th/0601001] [INSPIRE].
L.E. Ibáñez and M. Montero, A Note on the WGC, Effective Field Theory and Clockwork within String Theory, JHEP 02 (2018) 057 [arXiv:1709.02392] [INSPIRE].
N. Craig, I. Garcia Garcia and D. Sutherland, Disassembling the Clockwork Mechanism, JHEP 10 (2017) 018 [arXiv:1704.07831] [INSPIRE].
G.F. Giudice, Y. Kats, M. McCullough, R. Torre and A. Urbano, Clockwork/linear dilaton: structure and phenomenology, JHEP 06 (2018) 009 [arXiv:1711.08437] [INSPIRE].
I. Antoniadis, A. Arvanitaki, S. Dimopoulos and A. Giveon, Phenomenology of TeV Little String Theory from Holography, Phys. Rev. Lett. 108 (2012) 081602 [arXiv:1102.4043] [INSPIRE].
G.F. Giudice and M. McCullough, Comment on “Disassembling the Clockwork Mechanism”, arXiv:1705.10162 [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].
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] [INSPIRE].
T. Gherghetta and A. Pomarol, Bulk fields and supersymmetry in a slice of AdS, Nucl. Phys. B 586 (2000) 141 [hep-ph/0003129] [INSPIRE].
K.-w. Choi, A QCD axion from higher dimensional gauge field, Phys. Rev. Lett. 92 (2004) 101602 [hep-ph/0308024] [INSPIRE].
T. Flacke, B. Gripaios, J. March-Russell and D. Maybury, Warped axions, JHEP 01 (2007) 061 [hep-ph/0611278] [INSPIRE].
S.H. Im, H.P. Nilles and A. Trautner, Exploring extra dimensions through inflationary tensor modes, JHEP 03 (2018) 004 [arXiv:1707.03830] [INSPIRE].
A. Kehagias and A. Riotto, The Clockwork Supergravity, JHEP 02 (2018) 160 [arXiv:1710.04175] [INSPIRE].
I. Antoniadis, A. Delgado, C. Markou and S. Pokorski, The effective supergravity of Little String Theory, Eur. Phys. J. C 78 (2018) 146 [arXiv:1710.05568] [INSPIRE].
Particle Data Group collaboration, C. Patrignani et al., Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
P. Cox and T. Gherghetta, Radion Dynamics and Phenomenology in the Linear Dilaton Model, JHEP 05 (2012) 149 [arXiv:1203.5870] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005] [INSPIRE].
C.T. Hill, S. Pokorski and J. Wang, Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes, Phys. Rev. D 64 (2001) 105005 [hep-th/0104035] [INSPIRE].
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Choi, K., Im, S.H. & Shin, C.S. General continuum clockwork. J. High Energ. Phys. 2018, 113 (2018). https://doi.org/10.1007/JHEP07(2018)113
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DOI: https://doi.org/10.1007/JHEP07(2018)113