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SU(5) - Institute of Particle and Nuclear Physics

SU(5) - Institute of Particle and Nuclear Physics

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Minimizing the Higgs PotentialProcedure1. Plug vevs into the Higgs potential.2. Insert hierarchy <strong>of</strong> the parameters: m → vm g → vg3. Differentiate the potential w.r.t. all Higgs fields <strong>and</strong> set derivative 0.Result◮ 3 conditions for the parameters◮ 1 <strong>of</strong> these conditions needs finetuning:λ H = 1 (6gHΦ8ɛ 2 − 4mH 2 ) α ( )− 9λ HΦ − 30˜λ HΦ + gHΦ − 3λ HΦ + O(1)2ɛ◮ But: This is the same finetuning as it was needed for the DTS.

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