Built on

Wei-Ming Chen, Yu-Tin Huang, Toshifumi Noumi, and Congkao Wen, “Unitarity bounds on charged/neutral state mass ratios,” Phys. Rev. D100
Original
1901
Earlier work this paper cites.
Brando Bellazzini, Matthew Lewandowski, and Javi Serra, “Positivity of Amplitudes, Weak Gravity Conjecture, and Modified Gravity,” Phys. Rev. Lett. 123
Original
1902
Earlier work this paper cites.
Christoph Englert, Gian F. Giudice, Admir Greljo, and Matthew Mccullough, “The H ^ \hat{H} -Parameter: An Oblique Higgs View,” JHEP 09
Original
1903
Earlier work this paper cites.
Brando Bellazzini, Francesco Riva, Javi Serra, and Francesco Sgarlata, “Massive Higher Spins: Effective Theory and Consistency,” JHEP 10
Original
1903
Earlier work this paper cites.
Grant N. Remmen and Nicholas L. Rodd, “Consistency of the Standard Model Effective Field Theory,” JHEP 12
Original
1908
Earlier work this paper cites.
Michael B. Green and Congkao Wen, “Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values,” JHEP 11
Original
1908
Earlier work this paper cites.
H. Lehmann, “Analytic properties of scattering amplitudes as functions of momentum transfer,” Nuovo Cim. 10
1958
Earlier work this paper cites.
Marcel 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.
Y. S. Jin and A. Martin, “Number of Subtractions in Fixed-Transfer Dispersion Relations,” Phys. Rev. 135
1964
Earlier work this paper cites.
Andre Martin, “Extension of the Axiomatic Analyticity Domain of Scattering Amplitudes by Unitarity. 1.” Nuovo Cim. A42
1965
Earlier work this paper cites.
André Martin, Scattering Theory: Unitarity, Analyticity and Crossing , Vol. 3 (1969)
1969
Earlier work this paper cites.
C. Itzykson and J.B. Zuber, Quantum Field Theory , International Series In Pure and Applied Physics (McGraw-Hill, New York, 1980)
1980
Earlier work this paper cites.
T. N. Pham and Tran N. Truong, “Evaluation of the Derivative Quartic Terms of the Meson Chiral Lagrangian from Forward Dispersion Relation,” Phys. Rev. D31
1985
Earlier work this paper cites.
B. Ananthanarayan, D. Toublan, and G. Wanders, “Consistency of the Chiral Pion Pion Scattering Amplitudes with Axiomatic Constraints,” Phys. Rev. D51
1995
Earlier work this paper cites.

Similar

M. R. Pennington and J. Portoles, “The Chiral Lagrangian Parameters, L1, L2, are Determined by the Rho Resonance,” Phys. Lett. B344
1995
Cited alongside, same era.
Cen Zhang and Shuang-Yong Zhou, “Convex Geometry Perspective to the (Standard Model) Effective Field Theory Space,” Phys. Rev. Lett. 125
Original
2005
Cited alongside, same era.
Allan Adams, Nima Arkani-Hamed, Sergei Dubovsky, Alberto Nicolis, and Riccardo Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP 10
2006
Cited alongside, same era.
Miguel Correia, Amit Sever, and Alexander Zhiboedov, “An Analytical Toolkit for the S-Matrix Bootstrap,” (2020), arXiv:2006.08221 [hep-th]
Original
2006
Cited alongside, same era.
Jacques Distler, Benjamin Grinstein, Rafael A. Porto, and Ira Z. Rothstein, “Falsifying Models of New Physics via Ww Scattering,” Phys. Rev. Lett. 98

Then

Thomas Becher, Alessandro Broggio, and Andrea Ferroglia, Introduction to Soft-Collinear Effective Theory , Vol. 896 (Springer, 2015) arXiv:1410.1892 [hep-ph]
Original
2015
Later among the works it cites.
Xian O. Camanho, Jose D. Edelstein, Juan Maldacena, and Alexander Zhiboedov, “Causality Constraints on Corrections to the Graviton Three-Point Coupling,” JHEP 02
Original
2016
Later among the works it cites.
Brando Bellazzini, Clifford Cheung, and Grant N. Remmen, “Quantum Gravity Constraints from Unitarity and Analyticity,” Phys. Rev. D93
Original
2016
Later among the works it cites.
Clifford Cheung and Grant N. Remmen, “Positive Signs in Massive Gravity,” JHEP 04
Original
2016
Later among the works it cites.
Da Liu, Alex Pomarol, Riccardo Rattazzi, and Francesco Riva, “Patterns of Strong Coupling for Lhc Searches,” JHEP 11

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2020

Positive Moments for Scattering Amplitudes

Bellazzini, Brando, Miró, Joan Elias, Rattazzi, Riccardo et al.

Understand

We find the complete set of conditions satisfied by the forward $2\to2$ scattering amplitude in unitarity and causal theories.

These are based on an infinite set of energy dependent quantities -- the arcs -- which are dispersively expressed as moments of a positive measure defined at (arbitrarily) higher energies.
We identify optimal finite subsets of constraints, suitable to bound Effective Field Theories (EFTs), at any finite order in the energy expansion.
At tree-level arcs are in one-to-one correspondence with Wilson coefficients.

Built on

Wei-Ming Chen, Yu-Tin Huang, Toshifumi Noumi, and Congkao Wen, “Unitarity bounds on charged/neutral state mass ratios,” Phys. Rev. D100
Original
1901
Earlier work this paper cites.
Brando Bellazzini, Matthew Lewandowski, and Javi Serra, “Positivity of Amplitudes, Weak Gravity Conjecture, and Modified Gravity,” Phys. Rev. Lett. 123
Original
1902
Earlier work this paper cites.
Christoph Englert, Gian F. Giudice, Admir Greljo, and Matthew Mccullough, “The H ^ \hat{H} -Parameter: An Oblique Higgs View,” JHEP 09
Original
1903
Earlier work this paper cites.
Brando Bellazzini, Francesco Riva, Javi Serra, and Francesco Sgarlata, “Massive Higher Spins: Effective Theory and Consistency,” JHEP 10
Original
1903
Earlier work this paper cites.
Grant N. Remmen and Nicholas L. Rodd, “Consistency of the Standard Model Effective Field Theory,” JHEP 12
Original
1908
Earlier work this paper cites.
Michael B. Green and Congkao Wen, “Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values,” JHEP 11
Original
1908
Earlier work this paper cites.
H. Lehmann, “Analytic properties of scattering amplitudes as functions of momentum transfer,” Nuovo Cim. 10
1958
Earlier work this paper cites.
Marcel 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.
Y. S. Jin and A. Martin, “Number of Subtractions in Fixed-Transfer Dispersion Relations,” Phys. Rev. 135
1964
Earlier work this paper cites.
Andre Martin, “Extension of the Axiomatic Analyticity Domain of Scattering Amplitudes by Unitarity. 1.” Nuovo Cim. A42
1965
Earlier work this paper cites.
André Martin, Scattering Theory: Unitarity, Analyticity and Crossing , Vol. 3 (1969)
1969
Earlier work this paper cites.
C. Itzykson and J.B. Zuber, Quantum Field Theory , International Series In Pure and Applied Physics (McGraw-Hill, New York, 1980)
1980
Earlier work this paper cites.
T. N. Pham and Tran N. Truong, “Evaluation of the Derivative Quartic Terms of the Meson Chiral Lagrangian from Forward Dispersion Relation,” Phys. Rev. D31
1985
Earlier work this paper cites.
B. Ananthanarayan, D. Toublan, and G. Wanders, “Consistency of the Chiral Pion Pion Scattering Amplitudes with Axiomatic Constraints,” Phys. Rev. D51
1995
Earlier work this paper cites.

Similar

M. R. Pennington and J. Portoles, “The Chiral Lagrangian Parameters, L1, L2, are Determined by the Rho Resonance,” Phys. Lett. B344
1995
Cited alongside, same era.
Cen Zhang and Shuang-Yong Zhou, “Convex Geometry Perspective to the (Standard Model) Effective Field Theory Space,” Phys. Rev. Lett. 125
Original
2005
Cited alongside, same era.
Allan Adams, Nima Arkani-Hamed, Sergei Dubovsky, Alberto Nicolis, and Riccardo Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP 10
2006
Cited alongside, same era.
Miguel Correia, Amit Sever, and Alexander Zhiboedov, “An Analytical Toolkit for the S-Matrix Bootstrap,” (2020), arXiv:2006.08221 [hep-th]
Original
2006
Cited alongside, same era.
Jacques Distler, Benjamin Grinstein, Rafael A. Porto, and Ira Z. Rothstein, “Falsifying Models of New Physics via Ww Scattering,” Phys. Rev. Lett. 98

Then

Thomas Becher, Alessandro Broggio, and Andrea Ferroglia, Introduction to Soft-Collinear Effective Theory , Vol. 896 (Springer, 2015) arXiv:1410.1892 [hep-ph]
Original
2015
Later among the works it cites.
Xian O. Camanho, Jose D. Edelstein, Juan Maldacena, and Alexander Zhiboedov, “Causality Constraints on Corrections to the Graviton Three-Point Coupling,” JHEP 02
Original
2016
Later among the works it cites.
Brando Bellazzini, Clifford Cheung, and Grant N. Remmen, “Quantum Gravity Constraints from Unitarity and Analyticity,” Phys. Rev. D93
Original
2016
Later among the works it cites.
Clifford Cheung and Grant N. Remmen, “Positive Signs in Massive Gravity,” JHEP 04
Original
2016
Later among the works it cites.
Da Liu, Alex Pomarol, Riccardo Rattazzi, and Francesco Riva, “Patterns of Strong Coupling for Lhc Searches,” JHEP 11

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2007

Cited alongside, same era.

Yu-tin Huang, Jin-Yu Liu, Laurentiu Rodina, and Yihong Wang, “Carving Out the Space of Open-String S-Matrix,” (2020), arXiv:2008.02293 [hep-th]

Original

2008

Cited alongside, same era.

Alberto Nicolis, Riccardo Rattazzi, and Enrico Trincherini, “The Galileon as a local modification of gravity,” Phys. Rev. D79

Original

2009

Cited alongside, same era.

Alberto Nicolis, Riccardo Rattazzi, and Enrico Trincherini, “Energy’s and amplitudes’ positivity,” JHEP 05

Original

2011

Cited alongside, same era.

Zohar Komargodski and Adam Schwimmer, “On Renormalization Group Flows in Four Dimensions,” JHEP 12

Original

2011

Cited alongside, same era.

Garrett Goon, Kurt Hinterbichler, Austin Joyce, and Mark Trodden, “Galileons as Wess-Zumino Terms,” JHEP 06

Original

2012

Cited alongside, same era.

Markus A. Luty, Joseph Polchinski, and Riccardo Rattazzi, “The a a -theorem and the Asymptotics of 4D Quantum Field Theory,” JHEP 01

Original

2013

Cited alongside, same era.

Brando Bellazzini, Luca Martucci, and Riccardo Torre, “Symmetries, Sum Rules and Constraints on Effective Field Theories,” JHEP 09

Original

2014

Cited alongside, same era.

Original

2016