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S-matrix Bootstrap for Effective Field Theories: Massless Pions
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We use the numerical S-matrix bootstrap method to obtain bounds on the two leading Wilson coefficients of the chiral lagrangian controlling the low-energy dynamics of massless pions thus providing a proof of concept that the numerical S-matrix bootstrap can be used to derive non-perturbative bounds on EFTs in more than two spacetime dimensions.
Forward citations
Cited by 13 Pith papers
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Partial Waves for Multipositivity
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Geometry of effective field theory positivity cones
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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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Bootstrapping the Chiral-Gravitational Anomaly
Causality and unitarity force J≥4 resonances to appear below Λcaus approximately sqrt(MP Fπ/κg) in any EFT with a U(1)-gravitational anomaly.
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Matrix moment approach to positivity bounds and UV reconstruction from IR
Positivity bounds for multi-field EFTs are formulated as matrix moment problems, yielding optimal bounds and a method to reverse engineer the UV mass, spin, and coupling spectrum from low-energy coefficients.
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Running soft theorems in effective field theory
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The next-to-leading Wilson coefficient in D=7 maximal supergravity is minimized at the same U-duality symmetric point as the leading coefficient, supporting string universality.
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Analytic bootstrap bounds on masses and spins in gravitational and non-gravitational scalar theories
The authors derive 'Sequential Spin and Mass Constraints' for su-symmetric and stu-symmetric four-point amplitudes, claiming any weakly-coupled spectrum must have ordered spins and bounded mass ratios.
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Bootstrapping Gravity with Crossing Symmetric Dispersion Relations
A crossing-symmetric dispersion-relation bootstrap reproduces known gravitational EFT bounds and gives new tree-level limits on the graviton coupling to a massive spin-4 state.
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