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Journal of High Energy Physics

, 2019:159 | Cite as

Axion clockworks from heterotic M-theory: the QCD-axion and its ultra-light companion

  • Sang Hui ImEmail author
  • Hans Peter Nilles
  • Marek Olechowski
Open Access
Regular Article - Theoretical Physics
  • 35 Downloads

Abstract

A previously discussed clockwork mechanism within heterotic M-theory is applied to its axion landscape. We identify a unique candidate for a QCD-axion with a decay constant in the preferred “axion window” around 1011 GeV. It is accompanied by at least one ultra-light axion that couples predominantly to hidden sector gauge groups.

Keywords

Beyond Standard Model M-Theory Superstrings and Heterotic Strings Field Theories in Higher Dimensions 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

References

  1. [1]
    R.D. Peccei and H.R. Quinn, CP Conservation in the Presence of Instantons, Phys. Rev. Lett.38 (1977) 1440 [INSPIRE].ADSGoogle Scholar
  2. [2]
    K. Freese, J.A. Frieman and A.V. Olinto, Natural inflation with pseudo-Nambu-Goldstone bosons, Phys. Rev. Lett.65 (1990) 3233 [INSPIRE].CrossRefADSGoogle Scholar
  3. [3]
    J.E. Kim, Light Pseudoscalars, Particle Physics and Cosmology, Phys. Rept.150 (1987) 1 [INSPIRE].CrossRefADSGoogle Scholar
  4. [4]
    P.J. Steinhardt and M.S. Turner, Saving the Invisible Axion, Phys. Lett.129B (1983) 51 [INSPIRE].CrossRefADSGoogle Scholar
  5. [5]
    M. Kawasaki, T. Moroi and T. Yanagida, Can decaying particles raise the upper bound on the Peccei-Quinn scale?, Phys. Lett.B 383 (1996) 313 [hep-ph/9510461] [INSPIRE].
  6. [6]
    G.R. Dvali, Removing the cosmological bound on the axion scale, hep-ph/9505253 [INSPIRE].
  7. [7]
    T. Banks and M. Dine, The cosmology of string theoretic axions, Nucl. Phys.B 505 (1997) 445 [hep-th/9608197] [INSPIRE].
  8. [8]
    R.T. Co, E. Gonzalez and K. Harigaya, Axion Misalignment Driven to the Bottom, JHEP05 (2019) 162 [arXiv:1812.11186] [INSPIRE].CrossRefADSGoogle Scholar
  9. [9]
    K. Freese and W.H. Kinney, Natural Inflation: Consistency with Cosmic Microwave Background Observations of Planck and BICEP2, JCAP03 (2015) 044 [arXiv:1403.5277] [INSPIRE].CrossRefADSGoogle Scholar
  10. [10]
    D.J.E. Marsh, Axion Cosmology, Phys. Rept.643 (2016) 1 [arXiv:1510.07633] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  11. [11]
    J.E. Kim, H.P. Nilles and M. Peloso, Completing natural inflation, JCAP01 (2005) 005 [hep-ph/0409138] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  12. [12]
    R. Kappl, S. Krippendorf and H.P. Nilles, Aligned Natural Inflation: Monodromies of two Axions, Phys. Lett.B 737 (2014) 124 [arXiv:1404.7127] [INSPIRE].CrossRefADSGoogle Scholar
  13. [13]
    K. Choi, H. Kim and S. Yun, Natural inflation with multiple sub-Planckian axions, Phys. Rev.D 90 (2014) 023545 [arXiv:1404.6209] [INSPIRE].
  14. [14]
    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].
  15. [15]
    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].CrossRefADSGoogle Scholar
  16. [16]
    K. Choi and S.H. Im, Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry, JHEP01 (2016) 149 [arXiv:1511.00132] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  17. [17]
    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].
  18. [18]
    K.-S. Choi, H.P. Nilles, S. Ramos-Sanchez and P.K.S. Vaudrevange, Accions, Phys. Lett.B 675 (2009) 381 [arXiv:0902.3070] [INSPIRE].
  19. [19]
    N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett.86 (2001) 4757 [hep-th/0104005] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  20. [20]
    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].
  21. [21]
    G.F. Giudice and M. McCullough, A Clockwork Theory, JHEP02 (2017) 036 [arXiv:1610.07962] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  22. [22]
    N. Craig, I. Garcia Garcia and D. Sutherland, Disassembling the Clockwork Mechanism, JHEP10 (2017) 018 [arXiv:1704.07831] [INSPIRE].MathSciNetzbMATHADSGoogle Scholar
  23. [23]
    G.F. Giudice and M. McCullough, Comment on “Disassembling the Clockwork Mechanism”, arXiv:1705.10162 [INSPIRE].
  24. [24]
    K. Choi, S.H. Im and C.S. Shin, General Continuum Clockwork, JHEP07 (2018) 113 [arXiv:1711.06228] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  25. [25]
    S.H. Im, H.P. Nilles and M. Olechowski, Heterotic M-theory from the Clockwork Perspective, JHEP01 (2019) 151 [arXiv:1811.11838] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  26. [26]
    P. Hǒrava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys.B 475 (1996) 94 [hep-th/9603142] [INSPIRE].
  27. [27]
    L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett.83 (1999) 3370 [hep-ph/9905221] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  28. [28]
    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].CrossRefADSGoogle Scholar
  29. [29]
    I. Antoniadis, S. Dimopoulos and A. Giveon, Little string theory at a TeV, JHEP05 (2001) 055 [hep-th/0103033] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  30. [30]
    A. Lukas, B.A. Ovrut, K.S. Stelle and D. Waldram, Heterotic M-theory in five-dimensions, Nucl. Phys.B 552 (1999) 246 [hep-th/9806051] [INSPIRE].
  31. [31]
    P. Svřcek and E. Witten, Axions In String Theory, JHEP06 (2006) 051 [hep-th/0605206] [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  32. [32]
    E. Witten, Some Properties of O(32) Superstrings, Phys. Lett.149B (1984) 351 [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  33. [33]
    M.B. Green and J.H. Schwarz, Anomaly Cancellation in Supersymmetric D = 10 Gauge Theory and Superstring Theory, Phys. Lett.149B (1984) 117 [INSPIRE].MathSciNetCrossRefADSGoogle Scholar
  34. [34]
    S.M. Barr, Harmless Axions in Superstring Theories, Phys. Lett.158B (1985) 397 [INSPIRE].
  35. [35]
    J.O. Conrad, Brane tensions and coupling constants from within M-theory, Phys. Lett.B 421 (1998) 119 [hep-th/9708031] [INSPIRE].
  36. [36]
    E. Witten, Strong coupling expansion of Calabi-Yau compactification, Nucl. Phys.B 471 (1996) 135 [hep-th/9602070] [INSPIRE].
  37. [37]
    A. Lukas, B.A. Ovrut, K.S. Stelle and D. Waldram, The universe as a domain wall, Phys. Rev.D 59 (1999) 086001 [hep-th/9803235] [INSPIRE].
  38. [38]
    J.P. Derendinger, L.E. Ibáñez and H.P. Nilles, On the Low-Energy Limit of Superstring Theories, Nucl. Phys.B 267 (1986) 365 [INSPIRE].CrossRefADSGoogle Scholar
  39. [39]
    K. Choi and J.E. Kim, Compactification and Axions in E 8× E 8-prime Superstring Models, Phys. Lett.165B (1985) 71 [INSPIRE].CrossRefGoogle Scholar
  40. [40]
    L.E. Ibáñez and H.P. Nilles, Low-Energy Remnants of Superstring Anomaly Cancellation Terms, Phys. Lett.169B (1986) 354 [INSPIRE].CrossRefADSGoogle Scholar
  41. [41]
    L.J. Dixon, V. Kaplunovsky and J. Louis, Moduli dependence of string loop corrections to gauge coupling constants, Nucl. Phys.B 355 (1991) 649 [INSPIRE].
  42. [42]
    S. Stieberger, (0,2) heterotic gauge couplings and their M-theory origin, Nucl. Phys.B 541 (1999) 109 [hep-th/9807124] [INSPIRE].
  43. [43]
    R. Hlozek, D. Grin, D.J.E. Marsh and P.G. Ferreira, A search for ultralight axions using precision cosmological data, Phys. Rev.D 91 (2015) 103512 [arXiv:1410.2896] [INSPIRE].
  44. [44]
    J.A. Harvey and G.W. Moore, Superpotentials and membrane instantons, hep-th/9907026 [INSPIRE].
  45. [45]
    A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper and J. March-Russell, String Axiverse, Phys. Rev.D 81 (2010) 123530 [arXiv:0905.4720] [INSPIRE].

Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Sang Hui Im
    • 1
    Email author
  • Hans Peter Nilles
    • 2
  • Marek Olechowski
    • 3
  1. 1.Department of PhysicsPusan National UniversityBusanKorea
  2. 2.Bethe Center for Theoretical Physics and Physikalisches Institut der Universität BonnBonnGermany
  3. 3.Institute of Theoretical Physics, Faculty of PhysicsUniversity of WarsawWarsawPoland

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