We construct new dispersive sum rules for the effective field theory of the standard model at mass dimension six. These spinning sum rules encode information about the spin of UV states: the sign of the IR Wilson coefficients carries a memory of the dominant spin in the UV completion. The sum rules are constructed for operators containing scalars and fermions, although we consider the dimension-six SMEFT exhaustively, outlining why equivalent relations do not hold for the remaining operators. As with any dimension-six dispersive argument, our conclusions are contingent on the absence of potential poles at infinity — so-called boundary terms — and we discuss in detail where these are expected to appear. There are a number of phenomenological applications of spinning sum rules, and as an example we explore the connection to the Peskin-Takeuchi parameters and, more generally, the set of oblique parameters in universal theories.
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ArXiv ePrint: 2206.13524
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Remmen, G.N., Rodd, N.L. Spinning sum rules for the dimension-six SMEFT. J. High Energ. Phys. 2022, 30 (2022). https://doi.org/10.1007/JHEP09(2022)030
- Effective Field Theories
- Scattering Amplitudes
- Electroweak Precision Physics