Subgroup Alignment in Hypercolor Theories

Creators: Preskill, John

Abstract

To analyze the physical consequences of a dynamically broken theory of the weak interactions, we must know how the weak gauge group is aligned in an approximate flavor-symmetry group. For a large class of models, spectral-function sum rules enables us to determine this alignment explicitly. We work out the pattern of the electroweak symmetry breakdown for several sample models. Critical values of weak mixing angles are found at which the breakdown pattern changes discontinously. We compute pseudo-Goldstone boson masses, and find that some models contain unusually light charged or colored pseudo-Goldstone bosons.

Additional Information

© North-Holland Publishing Company (Elsevier). Received 7 July 1980. Research supported in part by the National Science Foundation under grant number PHY77-22864 and by the Harvard Society of Fellows. I thank Michael Peskin for informing me about his recent work, and for helpful comments. He has independently obtained many of the results reported here. I am grateful to Kenneth Lane for suggesting that spectral-function sum rules can be used to solve the subgroup alignment problem, and to Estia Eichten for many illuminating conversations while this work was in progress. I also thank Steven Weinberg and Howard Georgi for advice and encouragement.

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Subgroup Alignment in Hypercolor Theories

Abstract

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