Fetching the paper…
Reading the bibliography…
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.
1906
Earlier work this paper cites.
W. Landry and D. Simmons-Duffin, Scaling the semidefinite program solver SDPB , 1909.09745
1909
Earlier work this paper cites.
L. Córdova, Y. He, M. Kruczenski and P. Vieira, The O(N) S-matrix Monolith , JHEP 04
1909
Earlier work this paper cites.
M. Froissart, Asymptotic behavior and subtractions in the Mandelstam representation , Phys. Rev. 123
1961
Earlier work this paper cites.
A. Martin, Unitarity and high-energy behavior of scattering amplitudes , Phys. Rev. 129
1963
Earlier work this paper cites.
S. O. Aks, Proof that scattering implies production in quantum field theory , Journal of Mathematical Physics 6
1965
Earlier work this paper cites.
A. J. Dragt, Amount of four-particle production required in s-matrix theory , Physical Review 156
1967
Earlier work this paper cites.
S. Protopopescu, M. Alston-Garnjost, A. Barbaro-Galtieri, S. M. Flatte, J. Friedman, T. Lasinski et al., Pi pi Partial Wave Analysis from Reactions pi+ p — > > pi+ pi- Delta++ and pi+ p — > > K+ K- Delta++ at 7.1-GeV/c , Phys. Rev. D 7
1973
Earlier work this paper cites.
M. Losty, V. Chaloupka, A. Ferrando, L. Montanet, E. Paul, D. Yaffe et al., A Study of pi- pi- scattering from pi- p interactions at 3.93-GeV/c , Nucl. Phys. B 69
1974
Earlier work this paper cites.
G. Grayer et al., High Statistics Study of the Reaction pi- p – > > pi- pi+ n: Apparatus, Method of Analysis, and General Features of Results at 17-GeV/c , Nucl. Phys. B 75
1974
Earlier work this paper cites.
P. Estabrooks and A. D. Martin, pi pi Phase Shift Analysis Below the K anti-K Threshold , Nucl. Phys. B 79
1974
Earlier work this paper cites.
W. Hoogland et al., Measurement and Analysis of the pi+ pi+ System Produced at Small Momentum Transfer in the Reaction pi+ p — > > pi+ pi+ n at 12.5-GeV , Nucl. Phys. B 126
1977
Earlier work this paper cites.
S. Weinberg, Phenomenological Lagrangians , Physica A 96
1979
Cited alongside, same era.
J. Gasser and H. Leutwyler, On the Low-energy Structure of QCD , Phys. Lett. B 125
1983
Cited alongside, same era.
J. Gasser and H. Leutwyler, Chiral Perturbation Theory to One Loop , Annals Phys. 158
1984
Cited alongside, same era.
T. Pham and T. N. Truong, Evaluation of the Derivative Quartic Terms of the Meson Chiral Lagrangian From Forward Dispersion Relation , Phys. Rev. D 31
1985
Cited alongside, same era.
J. Bijnens, G. Colangelo, G. Ecker, J. Gasser and M. Sainio, Elastic pi pi scattering to two loops , Phys. Lett. B 374
1996
Cited alongside, same era.
J. Bijnens, G. Colangelo, G. Ecker, J. Gasser and M. Sainio, Pion-pion scattering at low energy , Nucl. Phys. B 508
A. Nicolis, R. Rattazzi and E. Trincherini, Energy’s and amplitudes’ positivity , JHEP 05
2010
Later among the works it cites.
2010
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1997
Cited alongside, same era.
2004
Cited alongside, same era.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion , JHEP 10
2006
Cited alongside, same era.
M. Correia, A. Sever and A. Zhiboedov, An Analytical Toolkit for the S-matrix Bootstrap , 2006.08221
2006
Cited alongside, same era.
2006
Cited alongside, same era.
A. V. Manohar and V. Mateu, Dispersion Relation Bounds for pi pi Scattering , Phys. Rev. D 77
2008
Cited alongside, same era.
A. L. Guerrieri, A. Homrich and P. Vieira, Dual S-matrix Bootstrap I: 2D Theory , 2008.02770
2008
Cited alongside, same era.
2011
Later among the works it cites.
B. Bellazzini, Softness and amplitudes’ positivity for spinning particles , JHEP 02
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Later among the works it cites.
N. Arkani-Hamed, Lectures at the CERN Winter School on Supergravity, Strings and Gauge Theory 2019 ,
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
Y. He and M. Kruczenski, to appear. See also talk by M. Kruczenski at the Bootstrap 2020 annual conference in June 2020 in Boston (via Zoom) ,
2020
Closest in time.