Abstract
We discuss a scheme to implement the relaxion solution to the hierarchy problem with multiple axions, and present a UV-completed model realizing the scheme. All of the N axions in our model are periodic with a similar decay constant f well below the Planck scale. In the limit N ≫ 1, the relaxion ϕ corresponds to an exponentially long multi-helical flat direction which is shaped by a series of mass mixing between nearby axions in the compact field space of N axions. With the length of flat direction given by
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P.W. Graham, D.E. Kaplan and S. Rajendran, Cosmological Relaxation of the Electroweak Scale, Phys. Rev. Lett. 115 (2015) 221801 [arXiv:1504.07551] [INSPIRE].
G. Dvali and A. Vilenkin, Cosmic attractors and gauge hierarchy, Phys. Rev. D 70 (2004) 063501 [hep-th/0304043] [INSPIRE].
J.R. Espinosa, C. Grojean, G. Panico, A. Pomarol, O. Pujolàs and G. Servant, Cosmological Higgs-Axion Interplay for a Naturally Small Electroweak Scale, Phys. Rev. Lett. 115 (2015) 251803 [arXiv:1506.09217] [INSPIRE].
E. Hardy, Electroweak relaxation from finite temperature, JHEP 11 (2015) 077 [arXiv:1507.07525] [INSPIRE].
S.P. Patil and P. Schwaller, Relaxing the Electroweak Scale: the Role of Broken dS Symmetry, arXiv:1507.08649 [INSPIRE].
J. Jaeckel, V.M. Mehta and L.T. Witkowski, Musings on cosmological relaxation and the hierarchy problem, arXiv:1508.03321 [INSPIRE].
R.S. Gupta, Z. Komargodski, G. Perez and L. Ubaldi, Is the Relaxion an Axion?, arXiv:1509.00047 [INSPIRE].
B. Batell, G.F. Giudice and M. McCullough, Natural Heavy Supersymmetry, JHEP 12 (2015) 162 [arXiv:1509.00834] [INSPIRE].
O. Matsedonskyi, Mirror Cosmological Relaxation of the Electroweak Scale, arXiv:1509.03583 [INSPIRE].
L. Marzola and M. Raidal, Natural Relaxation, arXiv:1510.00710 [INSPIRE].
J.E. Kim, H.P. Nilles and M. Peloso, Completing natural inflation, JCAP 01 (2005) 005 [hep-ph/0409138] [INSPIRE].
K. Choi, H. Kim and S. Yun, Natural inflation with multiple sub-Planckian axions, Phys. Rev. D 90 (2014) 023545 [arXiv:1404.6209] [INSPIRE].
J.E. Kim and H.P. Nilles, The mu Problem and the Strong CP Problem, Phys. Lett. B 138 (1984) 150 [INSPIRE].
H. Murayama, H. Suzuki and T. Yanagida, Radiative breaking of Peccei-Quinn symmetry at the intermediate mass scale, Phys. Lett. B 291 (1992) 418 [INSPIRE].
K. Choi, E.J. Chun and J.E. Kim, Cosmological implications of radiatively generated axion scale, Phys. Lett. B 403 (1997) 209 [hep-ph/9608222] [INSPIRE].
O. Antipin and M. Redi, The Half-composite Two Higgs Doublet Model and the Relaxion, JHEP 12 (2015) 031 [arXiv:1508.01112] [INSPIRE].
K.A. Intriligator and N. Seiberg, Lectures on supersymmetric gauge theories and electric-magnetic duality, Nucl. Phys. Proc. Suppl. 45BC (1996) 1 [hep-th/9509066] [INSPIRE].
M.T. Grisaru, M. Roček and R. von Unge, Effective Kähler potentials, Phys. Lett. B 383 (1996) 415 [hep-th/9605149] [INSPIRE].
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ArXiv ePrint: 1511.00132
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Choi, K., Im, S.H. Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry. J. High Energ. Phys. 2016, 149 (2016). https://doi.org/10.1007/JHEP01(2016)149
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DOI: https://doi.org/10.1007/JHEP01(2016)149