Built on

M. B. Green and C. Wen, Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values , JHEP 11
Original
1908
Earlier work this paper cites.
W. Landry and D. Simmons-Duffin, Scaling the semidefinite program solver SDPB , 1909.09745
Original
1909
Earlier work this paper cites.
J. J. M. Carrasco, L. Rodina, Z. Yin and S. Zekioglu, Simple encoding of higher derivative gauge and gravity counterterms , Phys. Rev. Lett. 125
Original
1910
Earlier work this paper cites.
R. Curto and L. Fialkow, Solution of the truncated complex moment problem for flat data , Memoirs of the American Mathematical Society 568
1996
Earlier work this paper cites.
B. Simon, The Classical Moment Problem as a Self-Adjoint Finite Difference Operator , Advances in Mathematics 137
1998
Earlier work this paper cites.
R. Curto and L. Fialkow, The truncated complex k-moment problem , Transactions of the American Mathematical Society 352
2000
Earlier work this paper cites.
C. Zhang and S.-Y. Zhou, Convex Geometry Perspective on the (Standard Model) Effective Field Theory Space , Phys. Rev. Lett. 125
Original
2005
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion , JHEP 10
2006
Earlier work this paper cites.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force , JHEP 06
2007
Earlier work this paper cites.

Similar

Y.-t. Huang, J.-Y. Liu, L. Rodina and Y. Wang, Carving out the Space of Open-String S-matrix , JHEP 04
Original
2008
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Then

A. Sinha and A. Zahed, Crossing Symmetric Dispersion Relations in QFTs , 2012.04877
Original
2012
Later among the works it cites.
N. Arkani-Hamed, T.-C. Huang and Y.-T. Huang, The EFT-Hedron , JHEP 05
Original
2012
Later among the works it cites.
D. Simmons-Duffin, A Semidefinite Program Solver for the Conformal Bootstrap , JHEP 06
Original
2015
Later among the works it cites.
C. de Rham, S. Melville, A. J. Tolley and S.-Y. Zhou, Positivity bounds for scalar field theories , Phys. Rev. D 96
Original
2017
Later among the works it cites.
Springer, Cham, 2017
K. Schmüdgen, The Moment Problem · 2017
Later among the works it cites.

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2021

Into the EFThedron and UV constraints from IR consistency

Chiang, Li-Yuan, Huang, Yu-tin, Li, Wei et al.

Understand

Recently it was proposed that the theory space of effective field theories with consistent UV completions can be described as a positive geometry, termed the EFThedron.

In this paper we demonstrate that at the core, the geometry is given by the convex hull of the product of two moment curves.
This makes contact with the well studied bi-variate moment problem, which in various instances has known solutions, generalizing the Hankel matrices of couplings into moment matrices.
We are thus able to obtain analytic expressions for bounds, which perfectly match numerical results from semi-definite programing methods.

Built on

M. B. Green and C. Wen, Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values , JHEP 11
Original
1908
Earlier work this paper cites.
W. Landry and D. Simmons-Duffin, Scaling the semidefinite program solver SDPB , 1909.09745
Original
1909
Earlier work this paper cites.
J. J. M. Carrasco, L. Rodina, Z. Yin and S. Zekioglu, Simple encoding of higher derivative gauge and gravity counterterms , Phys. Rev. Lett. 125
Original
1910
Earlier work this paper cites.
R. Curto and L. Fialkow, Solution of the truncated complex moment problem for flat data , Memoirs of the American Mathematical Society 568
1996
Earlier work this paper cites.
B. Simon, The Classical Moment Problem as a Self-Adjoint Finite Difference Operator , Advances in Mathematics 137
1998
Earlier work this paper cites.
R. Curto and L. Fialkow, The truncated complex k-moment problem , Transactions of the American Mathematical Society 352
2000
Earlier work this paper cites.
C. Zhang and S.-Y. Zhou, Convex Geometry Perspective on the (Standard Model) Effective Field Theory Space , Phys. Rev. Lett. 125
Original
2005
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion , JHEP 10
2006
Earlier work this paper cites.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force , JHEP 06
2007
Earlier work this paper cites.