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Rigorous bounds on the Analytic $S$-matrix
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abstract
We consider a dual $S$-matrix Bootstrap approach in $d\geq 3$ space-time dimensions which relies solely on the rigorously proven analyticity, crossing, and unitarity properties of the scattering amplitudes. As a proof of principle, we provide rigorous upper and lower numerical bounds on the quartic coupling for the scattering of identical scalar particles in four dimensions.
Forward citations
Cited by 3 Pith papers
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Strings from Almost Nothing
Ultrasoft, minimally structured scattering amplitudes are forced onto the Veneziano and Virasoro-Shapiro amplitudes of string theory.
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Splitting Regions and Shrinking Islands from Higher Point Constraints
Imposing 5-point split conditions and unitarity bounds selects the string beta function as the unique 4-point amplitude, up to equal-mass infinite spin towers.
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S-matrix bootstrap bounds on self-interacting dark matter
Weakly coupled scalar self-interacting dark matter cannot be heavier than ~0.3 GeV (generic) or ~MeV (derivative-coupled pNGB), much tighter than the 12 GeV unitarity bound.
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