Constructing massive on-shell contact terms

Durieux, Gauthier;Kitahara, Teppei;Machado, Camila S.;Shadmi, Yael;Weiss, Yaniv
(2020) Journal of High Energy Physics — Vol. 12, n° 12, p. 175 (2020)

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  • Kitahara, Teppeiorcid-logo
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  • Machado, Camila S.orcid-logo
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  • Shadmi, Yael
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  • Weiss, Yaniv
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Abstract
The purely on-shell approach to effective field theories requires the construction of independent contact terms. Employing the little-group-covariant massive-spinor formalism, we present the first systematic derivation of independent four-point contact terms involving massive scalars, spin-1/2 fermions, and vectors. Independent three-point amplitudes are also listed for massive particles up to spin-3. We make extensive use of the simple relations between massless and massive amplitudes in this formalism. Our general results are specialized to the (broken-phase) particle content of the electroweak sector of the standard model. The (anti)symmetrization among identical particles is then accounted for. This work opens the way for the on-shell computation of massive four-point amplitudes.
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Citations

Durieux, G., Kitahara, T., Machado, C. S., Shadmi, Y., & Weiss, Y. (2020). Constructing massive on-shell contact terms. Journal of High Energy Physics, 12(12), 175. https://doi.org/10.1007/JHEP12(2020)175 (Original work published 2020)