-matrix Bootstrap Extremal Amplitudes Viewer
Preliminary results - work in progress - Authors: Mehmet A. Gümüș, Simon Metayer, Piotr Tourkine.
Dimension $d=$
4
−
+
▶
Spin $\ell=$
0
−
+
▶
Optimized c
0
-
+
▶
$\ell_{\mathrm{max}}=$
16
-
+
▶
$N_\mathrm{max}=$
20
−
+
▶
Improvement:
SPC (Subtracted Positivity Constraints)
TH (Threshold) + SPC
THfixed (Threshold fixed) + SPC
TH + subTH (IR corrections) + SPC
TH + subTH + ftTH (extra fine tuning) + SPC
Best improvement
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Amplitudes
Amplitude Max
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Amplitude Min
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Resonances
Resonance Max
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Resonance Min
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Regge trajectories
Max
Min
Almond c2(c0)
Almond c2(c0)
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Amplitude traveler
Position:
1
−
+
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Convergence plots
Convergence Max (fit method 1)
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Convergence Min (fit method 1)
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Convergence Max (fit method 2)
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Convergence Min (fit method 2)
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All d plots
All d Max (fit method 1)
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Download fitted data
All d Min (fit method 1)
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Download fitted data
All d Max (fit method 2)
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Download fitted data
All d Min (fit method 2)
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Final best bounds
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S-matrix primal bootstrap framework
References
An Analytical Toolkit for the S-matrix Bootstrap
arXiv:2006.08221
Bridging Positivity and S-matrix Bootstrap Bounds
arXiv:2210.01502
Nonperturbative Bounds on Scattering of Massive Scalar Particles in $d\geq2$
arXiv:2207.12448
Cross-Section Bootstrap: Unveiling the Froissart Amplitude
arXiv:2506.04313
The S-matrix Bootstrap III: Higher Dimensional Amplitudes
arXiv:1708.06765
-matrix Bootstrap Extremal Amplitudes Viewer
