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I am new to this topic, so I do not have much knowledge of these. When discussing vacuum instability in QFT, higgs self-coupling becoming negative at high-energy scale when renormalized is said to indicate a problem.

  1. Does this cause some calculation/theoreticl problems other than vacuum instability?

  2. Why and how does vacuum instability rise out of Higgs self-coupling becoming negative? QFT calculations are done assuming some vacuum, so I wonder what this is supposed to mean.

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