Anomalous thresholds for the S-matrix of unstable particles

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説明

In this work, we study the analytic properties of S-matrix for unstable particles, which is defined as the residues on the unphysical sheets where unstable poles reside. We demonstrate that anomalous thresholds associated with UV physics are unavoidable for unstable particles. This is in contrast to stable particles, where the anomalous thresholds are due to IR physics, set by the scale of the external kinematics. As a result, any dispersive representation for the amplitude will involve contributions from these thresholds that are not computable from the IR theory, and thus invalidate the general positivity bound. Indeed using toy models, we explicitly demonstrate that the four-derivative couplings for unstable particles can become negative, violating positivity bounds even for non-gravitational theories. Along the way, we show that contributions from anomalous thresholds in a given channel can be captured by the double discontinuity of that channel.

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詳細情報 詳細情報について

  • CRID
    1050020288618356608
  • ISSN
    10298479
  • HANDLE
    2433/289818
  • 本文言語コード
    en
  • 資料種別
    journal article
  • データソース種別
    • IRDB

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