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Published on: November 15, 2013
Unitarity Bounds and Sum Rules in the Standard Model Effective Field Theory
Luigi C Bresciani1,2, Paride Paradisi1,2, Andrea Sainaghi1,2,3
1Università degli Studi di Padova, Dipartimento di Fisica e Astronomia "G. Galilei," , Via F. Marzolo 8, I-35131 Padova, Italy.
Abstract:
We present a comprehensive reassessment of perturbative unitarity bounds in the dimension-6 standard model effective field theory, exploiting a new formalism based on spinor-helicity techniques to derive partial-wave unitarity bounds for generic N→M scattering amplitudes. We find that, in several cases, these theoretical constraints are already competitive with, or even stronger than, the corresponding experimental bounds for energy scales above a few TeV. This is especially the case for four-fermion operators under realistic flavor assumptions, where unitarity bounds can be further strengthened by exploiting sum rules. These results provide a valuable and timely contribution toward the ambitious program of new-physics searches with minimal theoretical priors supplemented by restrictive, yet general, first-principles criteria.
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