4.7 Article

Signs, spin, SMEFT: Sum rules at dimension six

期刊

PHYSICAL REVIEW D
卷 105, 期 3, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.105.036006

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资金

  1. Kavli Institute for Theoretical Physics by the Simons Foundation [216179]
  2. National Science Foundation [NSF PHY-1748958]
  3. University of California, Santa Barbara by the Fundamental Physics Fellowship
  4. Miller Institute for Basic Research in Science at the University of California, Berkeley

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In this study, we place theoretical constraints on the leading deviations to four-fermion standard model interactions and develop new dispersion relations that yield either spin-dependent sum rules on dimension-six fermionic operators or information about the amplitude's behavior at large momentum. These relations serve as a bridge between new physics searches, providing definitive information about the UV and enabling a diagnosis of properties of emerging new physics.
We place theoretical constraints on the leading deviations to four-fermion standard model interactions. Invoking S-matrix analyticity and partial wave unitarity, we develop new dispersion relations that yield either spin-dependent sum rules on dimension-six fermionic operators or information about the amplitude's behavior at large momentum. The pattern of standard model effective theory inequalities we find for theories obeying certain large-momentum constraints enables a diagnosis of properties of emerging new physics. These relations form a bridge between new physics searches: discovery of flavor-violating tau decays at Belle II would motivate the search for flavor-conserving new physics below 25 TeV, as the results would provide definitive information about the UV.

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