TY - JOUR
T1 - Group-theoretic evidence for SO(10) grand unification
AU - Lykken, J.
AU - Montroy, T.
AU - Willenbrock, S.
N1 - Funding Information:
We are grateful for conversations with G. Anderson, D. Berg, R. Leigh, A. Nelson, and P. Ramond. S.W. thanks the Aspen Center for Physics, where part of this work was performed. The research of J.L. was supported by the Fermi National Accelerator Laboratory, which is operated by Universities Research Association, Inc., under contract no. DE-AC02-76CHO3000. S.W. and T.M. were supported in part by Department of Energy grant DE-FG02-91ER40677. T.M. was supported in part by the Lorella M. Jones UIUC Summer Research Fellowship in Physics.
PY - 1998/1/29
Y1 - 1998/1/29
N2 - The hypercharges of the fermions are not uniquely determined in SO(10) grand unification, but rather depend upon which linear combination of the two U(1) subgroups of SO(10) ⊃ SU(3) × SU(2) × U(1) × U(1) remains unbroken. We show that, in general, a given hypercharge assignment can be obtained only with very high-dimensional Higgs representations. The observation that the standard model is obtained with low-dimensional Higgs representations can therefore be regarded as further evidence for SO(10) grand unification. This evidence is independent of the fact that SO(10) ⊃ SU(5).
AB - The hypercharges of the fermions are not uniquely determined in SO(10) grand unification, but rather depend upon which linear combination of the two U(1) subgroups of SO(10) ⊃ SU(3) × SU(2) × U(1) × U(1) remains unbroken. We show that, in general, a given hypercharge assignment can be obtained only with very high-dimensional Higgs representations. The observation that the standard model is obtained with low-dimensional Higgs representations can therefore be regarded as further evidence for SO(10) grand unification. This evidence is independent of the fact that SO(10) ⊃ SU(5).
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U2 - 10.1016/S0370-2693(97)01416-0
DO - 10.1016/S0370-2693(97)01416-0
M3 - Article
AN - SCOPUS:0347090899
VL - 418
SP - 141
EP - 144
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -