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Flux compactifications and naturalness. (English) Zbl 1396.81127
Summary: Free massless scalars have a shift symmetry. This is usually broken by gauge and Yukawa interactions, such that quantum corrections induce a quadratically divergent mass term. In the Standard Model this leads to the hierarchy problem of the electroweak theory, the question why the Higgs mass is so much smaller than the Planck mass. We present an example where a large scalar mass term is avoided by coupling the scalar to an infinite tower of massive states which are obtained from a six-dimensional theory compactified on a torus with magnetic flux. The series of divergent quantum corrections adds up to zero, and we show explicitly that the shift symmetry of the scalar is preserved in the effective four-dimensional theory despite the presence of gauge and Yukawa interaction terms.

MSC:
81T10 Model quantum field theories
81V15 Weak interaction in quantum theory
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[1] Angelantonj, C.; Sagnotti, A., Open strings, Phys. Rept., 371, 1, (2002) · Zbl 0999.83056
[2] Blumenhagen, R.; Körs, B.; Lüst, D.; Stieberger, S., Four-dimensional string compactifications with D-branes, orientifolds and fluxes, Phys. Rept., 445, 1, (2007)
[3] L.E. Ibanez and A.M. Uranga, String theory and particle physics: An introduction to string phenomenology, Cambridge University Press, Cambridge U.K. (2012). · Zbl 1260.81001
[4] Witten, E., Some properties of O(32) superstrings, Phys. Lett., B 149, 351, (1984)
[5] C. Bachas, A way to break supersymmetry, hep-th/9503030 [INSPIRE]. · Zbl 0999.83056
[6] Cremades, D.; Ibáñez, LE; Marchesano, F., Computing Yukawa couplings from magnetized extra dimensions, JHEP, 05, 079, (2004)
[7] Kobayashi, T.; Maruyama, R.; Murata, M.; Ohki, H.; Sakai, M., Three-generation models from E_{8} magnetized extra dimensional theory, JHEP, 05, 050, (2010) · Zbl 1287.81124
[8] Hamada, Y.; Kobayashi, T., Massive modes in magnetized brane models, Prog. Theor. Phys., 128, 903, (2012)
[9] Buchmüller, W.; Dierigl, M.; Ruehle, F.; Schweizer, J., Split symmetries, Phys. Lett., B 750, 615, (2015) · Zbl 1364.83058
[10] Hosotani, Y., Dynamical mass generation by compact extra dimensions, Phys. Lett., B 126, 309, (1983)
[11] Hatanaka, H.; Inami, T.; Lim, CS, The gauge hierarchy problem and higher dimensional gauge theories, Mod. Phys. Lett., A 13, 2601, (1998)
[12] G.R. Dvali, S. Randjbar-Daemi and R. Tabbash, The Origin of spontaneous symmetry breaking in theories with large extra dimensions, Phys. Rev.D 65 (2002) 064021 [hep-ph/0102307] [INSPIRE]. · Zbl 0965.81113
[13] N. Arkani-Hamed, A.G. Cohen and H. Georgi, Electroweak symmetry breaking from dimensional deconstruction, Phys. Lett.B 513 (2001) 232 [hep-ph/0105239] [INSPIRE]. · Zbl 0969.81657
[14] Antoniadis, I.; Benakli, K.; Quirós, M., Finite Higgs mass without supersymmetry, New J. Phys., 3, 20, (2001) · Zbl 0992.81088
[15] J. Alfaro, A. Broncano, M.B. Gavela, S. Rigolin and M. Salvatori, Phenomenology of symmetry breaking from extra dimensions, JHEP01 (2007) 005 [hep-ph/0606070] [INSPIRE]. · Zbl 1380.81400
[16] Peccei, RD; Quinn, HR, CP conservation in the presence of instantons, Phys. Rev. Lett., 38, 1440, (1977)
[17] Panico, G.; Wulzer, A., The composite Nambu-Goldstone Higgs, Lect. Notes Phys., 913, 1, (2016) · Zbl 1326.81006
[18] Buchmüller, W.; Dierigl, M.; Dudas, E.; Schweizer, J., Effective field theory for magnetic compactifications, JHEP, 04, 052, (2017) · Zbl 1378.83081
[19] Ghilencea, DM; Lee, HM, Wilson lines and UV sensitivity in magnetic compactifications, JHEP, 06, 039, (2017) · Zbl 1380.81400
[20] Angelantonj, C.; Antoniadis, I.; Dudas, E.; Sagnotti, A., Type I strings on magnetized orbifolds and brane transmutation, Phys. Lett., B 489, 223, (2000) · Zbl 1031.81579
[21] Berkooz, M.; Douglas, MR; Leigh, RG, Branes intersecting at angles, Nucl. Phys., B 480, 265, (1996) · Zbl 0925.81211
[22] Blumenhagen, R.; Görlich, L.; Körs, B.; Lüst, D., Noncommutative compactifications of type-I strings on tori with magnetic background flux, JHEP, 10, 006, (2000) · Zbl 0965.81113
[23] G. Aldazabal, S. Franco, L.E. Ibáñez, R. Rabadán and A.M. Uranga, Intersecting brane worlds, JHEP02 (2001) 047 [hep-ph/0011132] [INSPIRE].
[24] Dudas, E.; Pradisi, G.; Nicolosi, M.; Sagnotti, A., On tadpoles and vacuum redefinitions in string theory, Nucl. Phys., B 708, 3, (2005) · Zbl 1160.81443
[25] J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992). · Zbl 0516.53060
[26] Scherk, J.; Schwarz, JH, Spontaneous breaking of supersymmetry through dimensional reduction, Phys. Lett., B 82, 60, (1979)
[27] Braun, AP; Hebecker, A.; Trapletti, M., Flux stabilization in 6 dimensions: D-terms and loop corrections, JHEP, 02, 015, (2007)
[28] Buchmüller, W.; Dierigl, M.; Ruehle, F.; Schweizer, J., Chiral fermions and anomaly cancellation on orbifolds with Wilson lines and flux, Phys. Rev., D 92, 105031, (2015)
[29] Ghilencea, DM; Hoover, D.; Burgess, CP; Quevedo, F., Casimir energies for 6D supergravities compactified on T(2)/Z(N) with Wilson lines, JHEP, 09, 050, (2005)
[30] M. Dierigl, Aspects of Six-Dimensional Flux Compactifications, Ph.D. Thesis, University of Hamburg, Hamburg Germany (2017).
[31] Abouelsaood, A.; Callan, CG; Nappi, CR; Yost, SA, Open strings in background gauge fields, Nucl. Phys., B 280, 599, (1987)
[32] D. Tong, Lectures on the Quantum Hall Effect, arXiv:1606.06687 [INSPIRE].
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