期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2022)030
关键词
Effective Field Theories; SMEFT; Scattering Amplitudes; Electroweak Precision Physics
资金
- Kavli Institute for Theoretical Physics by the Simons Foundation [216179]
- National Science Foundation [NSF PHY-1748958]
- University of California, Santa Barbara by the Fundamental Physics Fellowship
We have constructed new dispersive sum rules for the effective field theory of the standard model at mass dimension six. These rules encode information about the spin of UV states and have various phenomenological applications. Our conclusions depend on the absence of potential poles at infinity, and we discuss in detail where these poles are expected to appear.
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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