Built on

B. Bellazzini, M. Lewandowski and J. Serra, Positivity of amplitudes, weak gravity conjecture, and modified gravity , Phys. Rev. Lett. 123
Original
1902
Earlier work this paper cites.
Q. Bi, C. Zhang and S.-Y. Zhou, Positivity constraints on aQGC: carving out the physical parameter space , JHEP 06
Original
1902
Earlier work this paper cites.
M. Herrero-Valea, I. Timiryasov and A. Tokareva, To positivity and beyond, where Higgs-dilaton inflation has never gone before , JCAP 11
Original
1905
Earlier work this paper cites.
G.N. Remmen and N.L. Rodd, Consistency of the Standard Model Effective Field Theory , JHEP 12
Original
1908
Earlier work this paper cites.
G. Ye and Y.-S. Piao, Positivity in the effective field theory of cosmological perturbations , Eur. Phys. J. C 80
Original
1908
Earlier work this paper cites.
C.R.T. Jones and B. McPeak, The Black Hole Weak Gravity Conjecture with multiple charges , JHEP 06
Original
1908
Earlier work this paper cites.
C. de Rham and A.J. Tolley, Speed of gravity , Phys. Rev. D 101
Original
1909
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.
L. Alberte, C. de Rham, A. Momeni, J. Rumbutis and A.J. Tolley, Positivity constraints on interacting spin-2 fields , JHEP 03
Original
1910
Earlier work this paper cites.
S.D. Chowdhury, A. Gadde, T. Gopalka, I. Halder, L. Janagal and S. Minwalla, Classifying and constraining local four photon and four graviton S-matrices , JHEP 02
Original
1910
Earlier work this paper cites.
L. Alberte, C. de Rham, A. Momeni, J. Rumbutis and A.J. Tolley, Positivity constraints on interacting pseudo-linear spin-2 fields , JHEP 07
Original
1912
Earlier work this paper cites.
S. Cremonini, C.R.T. Jones, J.T. Liu and B. McPeak, Higher-derivative corrections to entropy and the Weak Gravity Conjecture in anti-de Sitter space , JHEP 09
Original
1912
Earlier work this paper cites.
M.D. Thorsley and M.C. Chidichimo, An asymptotic expansion for the hypergeometric function F 1 2 ( a , b , c , x ) {}_{2}F_{1}(a,b;c;x) , J. Math. Phys. 42
1921
Earlier work this paper cites.
G.N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. , Cambridge University Press (1944)
1944
Earlier work this paper cites.
M. Jacob and G.C. Wick, On the general theory of collisions for particles with spin , Annals Phys. 7
1959
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, Extension of the axiomatic analyticity domain of scattering amplitudes by unitarity. 1. , Nuovo Cim. A 42
1965
Earlier work this paper cites.
P.P. Kulish and L.D. Faddeev, Asymptotic conditions and infrared divergences in quantum electrodynamics , Theor. Math. Phys. 4
1970
Earlier work this paper cites.
J.D. Bekenstein, Black holes and entropy , Phys. Rev. D 7
1973
Earlier work this paper cites.
J.D. Bekenstein, Generalized second law of thermodynamics in black hole physics , Phys. Rev. D 9
1974
Earlier work this paper cites.
I.T. Drummond and S.J. Hathrell, QED vacuum polarization in a background gravitational field and its effect on the velocity of photons , Phys. Rev. D 22
1980
Earlier work this paper cites.
J.D. Bekenstein, A universal upper bound on the entropy to energy ratio for bounded systems , Phys. Rev. D 23
1981
Earlier work this paper cites.
T.N. 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
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. D 51
1995
Earlier work this paper cites.
J. Comellas, J.I. Latorre and J. Taron, Constraints on chiral perturbation theory parameters from QCD inequalities , Phys. Lett. B 360
1995
Earlier work this paper cites.
P. Dita, Positivity constraints on chiral perturbation theory pion pion scattering amplitudes , Phys. Rev. D 59
1999
Earlier work this paper cites.
A.G. Cohen, D.B. Kaplan and A.E. Nelson, Effective field theory, black holes, and the cosmological constant , Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
Y.-J. Wang, F.-K. Guo, C. Zhang and S.-Y. Zhou, Generalized positivity bounds on chiral perturbation theory , JHEP 07
Original
2004
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.

Similar

P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics , Phys. Rev. Lett. 94
2005
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.
T. Banks, M. Johnson and A. Shomer, A note on gauge theories coupled to gravity , JHEP 09
2006
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N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The string landscape, black holes and gravity as the weakest force , JHEP 06
2007
Cited alongside, same era.
Y. Kats, L. Motl and M. Padi, Higher-order corrections to mass-charge relation of extremal black holes , JHEP 12
2007
Cited alongside, same era.

Then

X.O. Camanho, J.D. Edelstein, J. Maldacena and A. Zhiboedov, Causality constraints on corrections to the graviton three-point coupling , JHEP 02
Original
2016
Later among the works it cites.
B. Bellazzini, Softness and amplitudes’ positivity for spinning particles , JHEP 02
Original
2017
Later among the works it cites.
C. Cheung and G.N. Remmen, Positivity of curvature-squared corrections in gravity , Phys. Rev. Lett. 118
Original
2017
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.
C. de Rham, S. Melville, A.J. Tolley and S.-Y. Zhou, Massive Galileon positivity bounds , JHEP 09

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2022

Bounding Violations of the Weak Gravity Conjecture

Henriksson, Johan, McPeak, Brian, Russo, Francesco et al.

Understand

The black hole weak gravity conjecture (WGC) is a set of linear inequalities on the four-derivative corrections to Einstein--Maxwell theory.

Remarkably, in four dimensions, these combinations appear in the $2 \to 2$ photon amplitudes, leading to the hope that the conjecture might be supported using dispersion relations.
However, the presence of a pole arising in the forward limit due to graviton exchange greatly complicates the use of such arguments.
In this paper, we apply recently developed numerical techniques to handle the graviton pole, and we find that standard dispersive arguments are not strong enough to imply the black hole WGC.

Built on

B. Bellazzini, M. Lewandowski and J. Serra, Positivity of amplitudes, weak gravity conjecture, and modified gravity , Phys. Rev. Lett. 123
Original
1902
Earlier work this paper cites.
Q. Bi, C. Zhang and S.-Y. Zhou, Positivity constraints on aQGC: carving out the physical parameter space , JHEP 06
Original
1902
Earlier work this paper cites.
M. Herrero-Valea, I. Timiryasov and A. Tokareva, To positivity and beyond, where Higgs-dilaton inflation has never gone before , JCAP 11
Original
1905
Earlier work this paper cites.
G.N. Remmen and N.L. Rodd, Consistency of the Standard Model Effective Field Theory , JHEP 12
Original
1908
Earlier work this paper cites.
G. Ye and Y.-S. Piao, Positivity in the effective field theory of cosmological perturbations , Eur. Phys. J. C 80
Original
1908
Earlier work this paper cites.
C.R.T. Jones and B. McPeak, The Black Hole Weak Gravity Conjecture with multiple charges , JHEP 06
Original
1908
Earlier work this paper cites.
C. de Rham and A.J. Tolley, Speed of gravity , Phys. Rev. D 101
Original
1909
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.
L. Alberte, C. de Rham, A. Momeni, J. Rumbutis and A.J. Tolley, Positivity constraints on interacting spin-2 fields , JHEP 03
Original
1910
Earlier work this paper cites.
S.D. Chowdhury, A. Gadde, T. Gopalka, I. Halder, L. Janagal and S. Minwalla, Classifying and constraining local four photon and four graviton S-matrices , JHEP 02
Original
1910
Earlier work this paper cites.
L. Alberte, C. de Rham, A. Momeni, J. Rumbutis and A.J. Tolley, Positivity constraints on interacting pseudo-linear spin-2 fields , JHEP 07
Original
1912
Earlier work this paper cites.
S. Cremonini, C.R.T. Jones, J.T. Liu and B. McPeak, Higher-derivative corrections to entropy and the Weak Gravity Conjecture in anti-de Sitter space , JHEP 09
Original
1912
Earlier work this paper cites.
M.D. Thorsley and M.C. Chidichimo, An asymptotic expansion for the hypergeometric function F 1 2 ( a , b , c , x ) {}_{2}F_{1}(a,b;c;x) , J. Math. Phys. 42
1921
Earlier work this paper cites.
G.N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. , Cambridge University Press (1944)
1944
Earlier work this paper cites.
M. Jacob and G.C. Wick, On the general theory of collisions for particles with spin , Annals Phys. 7
1959
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, Extension of the axiomatic analyticity domain of scattering amplitudes by unitarity. 1. , Nuovo Cim. A 42
1965
Earlier work this paper cites.
P.P. Kulish and L.D. Faddeev, Asymptotic conditions and infrared divergences in quantum electrodynamics , Theor. Math. Phys. 4
1970
Earlier work this paper cites.
J.D. Bekenstein, Black holes and entropy , Phys. Rev. D 7
1973
Earlier work this paper cites.
J.D. Bekenstein, Generalized second law of thermodynamics in black hole physics , Phys. Rev. D 9
1974
Earlier work this paper cites.
I.T. Drummond and S.J. Hathrell, QED vacuum polarization in a background gravitational field and its effect on the velocity of photons , Phys. Rev. D 22
1980
Earlier work this paper cites.
J.D. Bekenstein, A universal upper bound on the entropy to energy ratio for bounded systems , Phys. Rev. D 23
1981
Earlier work this paper cites.
T.N. 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
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. D 51
1995
Earlier work this paper cites.
J. Comellas, J.I. Latorre and J. Taron, Constraints on chiral perturbation theory parameters from QCD inequalities , Phys. Lett. B 360
1995
Earlier work this paper cites.
P. Dita, Positivity constraints on chiral perturbation theory pion pion scattering amplitudes , Phys. Rev. D 59
1999
Earlier work this paper cites.
A.G. Cohen, D.B. Kaplan and A.E. Nelson, Effective field theory, black holes, and the cosmological constant , Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
Y.-J. Wang, F.-K. Guo, C. Zhang and S.-Y. Zhou, Generalized positivity bounds on chiral perturbation theory , JHEP 07
Original
2004
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.

Similar

P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics , Phys. Rev. Lett. 94
2005
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.
T. Banks, M. Johnson and A. Shomer, A note on gauge theories coupled to gravity , JHEP 09
2006
Cited alongside, same era.
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The string landscape, black holes and gravity as the weakest force , JHEP 06
2007
Cited alongside, same era.
Y. Kats, L. Motl and M. Padi, Higher-order corrections to mass-charge relation of extremal black holes , JHEP 12
2007
Cited alongside, same era.