Eur. Phys. J. C 20, 193-199
DOI: 10.1007/s100520100643

Geometric bounds on Kaluza-Klein masses

A. Mukherjee¹ and R. Tabbash<sup>1, 2

1</sup>  Scuola Internazionale Superiore di Studi Avanzati (S.I.S.S.A.), Via Beirut 2-4, 34014 Trieste, Italy
²  Istituto Nazionale di Fisica Nucleare, Sez. di Trieste, Via Valerio 2, 34127 Trieste, Italy

(Received: 11 August 2000 / Revised version: 30 January 2001 / Published online: 3 May 2001 -© Springer-Verlag / Società Italiana di Fisica 2001 )

Abstract
We point out geometric upper and lower bounds on the masses of bosonic and fermionic Kaluza-Klein excitations in the context of theories with large extra dimensions. The characteristic compactification length scale is set by the diameter of the internal manifold. Based on geometrical and topological considerations, we find that certain choices of compactification manifolds are more favored for phenomenological purposes.

© Società Italiana di Fisica, Springer-Verlag 2001