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A quantitative analysis of a_μ{≡}1/2(g-2)_μ within the framework of supergravity grand unification and radiative breaking of the electroweak symmetry is given. It is found that a_μSUSY is dominated by the chiral interference term from the light chargino exchange, and that this term carries a signature which correlates strongly with the sign of {μ}. Thus as a rule a_μSUSY>0 for {μ}>0 and a_μSUSY0 for {μ}0 with very few exceptions when tan{β}{~}1. At the quantitative level it is shown that if the E821 BNL experiment can reach the expected sensitivity of 4×{}10^-10 and there is a reduction in the hadronic error by a factor of 4 or more, then the experiment will explore a majority of the parameter space in the m₀-m_g ̃ \~ plane in the region m₀{}400 GeV, m_g ̃ \~{}700 GeV for tan{β}{}10 assuming the experiment will not discard the standard model result within its 2{σ} uncertainty limit. For smaller tan{β}, the SUSY reach of E821 will still be considerable. Further, if no effect within the 2{σ} limit of the standard model value is seen, then large tan{β} scenarios will be severely constrained within the current naturalness criterion, i.e., m₀,m_g ̃ \~{}1 TeV. {} 1996 The American Physical Society.
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Chattopadhyay et al. (1996) studied this question.
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