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Kaluza-Klein masses and couplings: Radiative corrections to tree-level relations

Sky Bauman^1,2,* and Keith R. Dienes^3,4,2,†

¹Department of Physics, University of Wisconsin, Madison, Wisconsin 53706, USA
²Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
³Physics Division, National Science Foundation, Arlington, Virginia 22230, USA
⁴Department of Physics, University of Maryland, College Park, Maryland 20742, USA

^*sbauman@physics.wisc.edu
^†dienes@physics.arizona.edu

Phys. Rev. D 85, 125011 – Published 7 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.125011

Abstract

The most direct experimental signature of a compactified extra dimension is the appearance of towers of Kaluza-Klein particles obeying specific mass and coupling relations. However, such masses and couplings are subject to radiative corrections. In this paper, using techniques developed in previous work, we investigate the extent to which such radiative corrections deform the expected tree-level relations between Kaluza-Klein masses and couplings. As toy models for our analysis, we investigate a flat five-dimensional scalar $λ ϕ^{4}$ model and a flat five-dimensional Yukawa model involving both scalars and fermions. In each case, we identify the conditions under which the tree-level relations are stable to one-loop order, and the situations in which radiative corrections modify the algebraic forms of these relations. Such corrections to Kaluza-Klein spectra therefore have the potential to distort the apparent geometry of a large extra dimension.

Article Text

References (31)

S. Bauman and K. R. Dienes, Phys. Rev. D 77, 125005 (2008).
S. Bauman and K. R. Dienes, Phys. Rev. D 77, 125006 (2008).
K. R. Dienes, E. Dudas, and T. Gherghetta, Phys. Lett. B 436, 55 (1998); Nucl. Phys. B537, 47 (1999); arXiv:hep-ph/9807522.
A. Pomarol, Phys. Rev. Lett. 85, 4004 (2000).
See, e.g., K. Choi, I. W. Kim, and C. S. Shin, New J. Phys. 12, 075014 (2010).
T. Appelquist and B. A. Dobrescu, Phys. Lett. B 516, 85 (2001).
H. Georgi, A. K. Grant, and G. Hailu, Phys. Lett. B 506, 207 (2001).
H. C. Cheng, K. T. Matchev, and M. Schmaltz, Phys. Rev. D 66, 036005 (2002).
I. Antoniadis, Phys. Lett. B 246, 377 (1990).
M. Puchwein and Z. Kunszt, Ann. Phys. (N.Y.) 311, 288 (2004).
N. Arkani-Hamed, A. G. Cohen, and H. Georgi, Phys. Rev. Lett. 86, 4757 (2001).
A. Falkowski, C. Grojean, and S. Pokorski, Phys. Lett. B 581, 236 (2004).
J. Scherk and J. H. Schwarz, Phys. Lett. 82B, 60 (1979); Nucl. Phys. B153, 61 (1979).
Y. Hosotani, Phys. Lett. 126B, 309 (1983).
G. von Gersdorff, N. Irges, and M. Quiros, Nucl. Phys. B635, 127 (2002).
H. Hatanaka, T. Inami, and C. S. Lim, Mod. Phys. Lett. A 13, 2601 (1998).
L. Del Debbio, E. Kerrane, and R. Russo, Phys. Rev. D 80, 025003 (2009).
K. R. Dienes, Nucl. Phys. B429, 533 (1994); B611, 146 (2001); K. R. Dienes, M. Moshe, and R. C. Myers, Phys. Rev. Lett. 74, 4767 (1995).
D. M. Ghilencea, H. P. Nilles, and S. Stieberger, New J. Phys. 4, 15 (2002); D. M. Ghilencea and S. Groot Nibbelink, Nucl. Phys. B641, 35 (2002).
R. Contino and L. Pilo, Phys. Lett. B 523, 347 (2001).
R. Contino and A. Gambassi, J. Math. Phys. (N.Y.) 44, 570 (2003).
E. Alvarez and A. F. Faedo, J. High Energy Phys. 05 (2006) 046.
T. Appelquist and A. Chodos, Phys. Rev. Lett. 50, 141 (1983); Phys. Rev. D 28, 772 (1983).
T. Appelquist, A. Chodos, and E. Myers, Phys. Lett. 127B, 51 (1983); T. Inami and O. Yasuda, 133B, 180 (1983).
K. Tsokos, Phys. Lett. 126B, 451 (1983); M. A. Rubin and B. D. Roth, 127B, 55 (1983); S. K. Blau, E. I. Guendelman, A. Taormina, and L. C. R. Wijewardhana, 144B, 30 (1984).
E. Witten, Nucl. Phys. B195, 481 (1982).
W. D. Goldberger and M. B. Wise, Phys. Rev. Lett. 83, 4922 (1999); W. D. Goldberger and I. Z. Rothstein, Phys. Lett. B 491, 339 (2000).
S. Ichinose, arXiv:0712.4043; Prog. Theor. Phys. 121, 727 (2009); Int. J. Mod. Phys. A 23, 2245 (2008); arXiv:0812.1263; Int. J. Mod. Phys. A 24, 3620 (2009); arXiv:1003.5041.
K. R. Dienes, Phys. Rev. Lett. 88, 011601 (2001); K. R. Dienes and A. Mafi, 88, 111602 (2002); 89, 171602 (2002).
S. Bauman (to be published).
K. R. Dienes and B. Thomas, arXiv:1106.4546; arXiv:1107.0721.