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Flavor Constraints from Unitarity and Analyticity
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abstract
We use unitarity and analyticity of scattering amplitudes to constrain fermionic operators in the standard model effective field theory. For four-fermion operators at mass dimension 8, we scatter flavor superpositions in fixed standard model representations and find the Wilson coefficients to be constrained so that their contraction with any pair of pure density matrices is positive. These constraints imply that flavor-violating couplings are upper-bounded by their flavor-conserving cousins. For instance, LEP data already appears to preclude certain operators in upcoming $\mu \to 3e$ measurements.
Forward citations
Cited by 11 Pith papers
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Multipositivity Bounds for Scattering Amplitudes
Scattering residues at any multiplicity form positive semidefinite moment matrices, yielding an infinite web of multipositivity bounds that the open string exactly saturates.
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Positivity in the Renormalization of Effective Field Theory
A general theorem fixes the sign of one-loop renormalization of even-dimension EFT couplings induced by equal-even-dimension operator pairs, with applications to SMEFT dimension-eight running and new non-renormalizati...
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Partial Waves for Multipositivity
The paper constructs kinematic charts and partial-wave expansions for four-, five-, and six-point massless planar amplitudes tailored to multipositivity bounds.
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Unitary Dual-Resonance S-matrices
Smearing Veneziano blocks over continuous Regge slopes yields local, analytic, crossing-symmetric S-matrices with full partial-wave unitarity and controllable second-sheet resonances.
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Geometry of effective field theory positivity cones
For three particle flavors, the positivity cone C_W has exactly three families of extremal rays, one of which yields genuinely new inelastic constraints not implied by elastic bounds.
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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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Towards the HEFT-hedron: the complete set of positivity constraints at NLO
Complete positivity constraints from causality and unitarity are derived for the 15 NLO HEFT operators contributing to longitudinal gauge-Higgs scattering, shrinking the allowed space to about 5 percent.
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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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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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Positivity and partial wave unitarity bounds on ALP theories via amplitude methods
Complete partial-wave unitarity and positivity bounds are derived for ALP effective interactions up to dimension 8, with new SMEFT positivity constraints as a byproduct.
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Targets for Flavor-Violating Top Decay
In leptoquark-like new physics, rare top decays to quarks and electron/muon pairs are predicted to occur at branching ratios of about 10^-8 to 10^-6, putting some within reach of LHC searches.
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