Fetching the paper…
Reading the bibliography…
We compute the imaginary parts of genus-one string scattering amplitudes.
A. Sen, String Field Theory as World-sheet UV Regulator , JHEP 10
1902
Earlier work this paper cites.
E. D’Hoker and M. B. Green, Exploring transcendentality in superstring amplitudes , JHEP 07
1906
Earlier work this paper cites.
S. Mizera, Aspects of Scattering Amplitudes and Moduli Space Localization , Ph.D. thesis, Perimeter Inst. Theor. Phys., 2020 · 1906
Earlier work this paper cites.
E. Panzer, Hepp’s bound for Feynman graphs and matroids , 1908.09820
1908
Earlier work this paper cites.
E. Casali, S. Mizera and P. Tourkine, Monodromy relations from twisted homology , JHEP 12
1910
Earlier work this paper cites.
N. Arkani-Hamed, S. He and T. Lam, Stringy canonical forms , JHEP 02
1912
Earlier work this paper cites.
J. D. Bjorken, Experimental tests of Quantum electrodynamics and spectral representations of Green’s functions in perturbation theory , Ph.D. thesis, Stanford U., 1959
1959
Earlier work this paper cites.
N. Nakanishi, Ordinary and Anomalous Thresholds in Perturbation Theory , Prog. Theor. Phys. 22
1959
Earlier work this paper cites.
L. Landau, On analytic properties of vertex parts in quantum field theory , Nucl. Phys. 13
1960
Earlier work this paper cites.
J. Tarski, Analyticity of the Fourth Order Scattering Amplitude with Two Complex Invariants , Journal of Mathematical Physics 1
1960
Earlier work this paper cites.
C. Lanczos, A precision approximation of the gamma function , Journal of the Society for Industrial and Applied Mathematics, Series B: Numerical Analysis 1
1964
Earlier work this paper cites.
G. Veneziano, Construction of a crossing-symmetric, Regge behaved amplitude for linearly rising trajectories , Nuovo Cim. A 57
1968
Earlier work this paper cites.
P. Deligne and D. Mumford, The irreducibility of the space of curves of given genus , Publications Mathématiques de l’IHES 36
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.
M. B. Green and J. H. Schwarz, Supersymmetrical String Theories , Phys. Lett. B 109
1982
Earlier work this paper cites.
J. H. Schwarz, Superstring Theory , Phys. Rept. 89
1982
Earlier work this paper cites.
M. B. Green and J. H. Schwarz, Supersymmetrical Dual String Theory. 3. Loops and Renormalization , Nucl. Phys. B 198
1982
Earlier work this paper cites.
M. B. Green and J. H. Schwarz, Infinity Cancellations in SO(32) Superstring Theory , Phys. Lett. B 151
1985
Earlier work this paper cites.
E. D’Hoker and D. H. Phong, Multiloop Amplitudes for the Bosonic Polyakov String , Nucl. Phys. B 269
1986
Earlier work this paper cites.
D. Friedan, E. J. Martinec and S. H. Shenker, Conformal Invariance, Supersymmetry and String Theory , Nucl. Phys. B 271
1986
Earlier work this paper cites.
E. P. Verlinde and H. L. Verlinde, Multiloop Calculations in Covariant Superstring Theory , Phys. Lett. B 192
1987
Earlier work this paper cites.
M. B. Green, J. H. Schwarz and E. Witten, Superstring Theory. Volume 2: Loop Amplitudes, Anomalies and Phenomenology . Cambridge University Press, 7, 1988
1988
Earlier work this paper cites.
E. D’Hoker and D. Phong, The Geometry of String Perturbation Theory , Rev. Mod. Phys. 60
1988
Earlier work this paper cites.
H. Yamamoto, One Loop Mass Shifts in O(32) Open Superstring Theory , Prog. Theor. Phys. 79
1988
Earlier work this paper cites.
D. J. Gross and J. L. Manes, The High-energy Behavior of Open String Scattering , Nucl. Phys. B 326
1989
Earlier work this paper cites.
H. Okada and A. Tsuchiya, The Decay Rate of the Massive Modes in Type I Superstring , Phys. Lett. B 232
1989
Earlier work this paper cites.
N. Marcus, Unitarity and Regularized Divergences in String Amplitudes , Phys. Lett. B 219
1989
Cited alongside, same era.
D. Mitchell, N. Turok, R. Wilkinson and P. Jetzer, The Decay of Highly Excited Open Strings , Nucl. Phys. B 315
1989
Cited alongside, same era.
E. D’Hoker and D. H. Phong, Momentum analyticity and finiteness of the one loop superstring amplitude , Phys. Rev. Lett. 70
1993
Cited alongside, same era.
E. D’Hoker and D. H. Phong, Dispersion relations in string theory , Theor. Math. Phys. 98
1994
Cited alongside, same era.
A. Berera, Unitary string amplitudes , Nucl. Phys. B 411
1994
Cited alongside, same era.
E. D’Hoker and D. H. Phong, The Box graph in superstring theory , Nucl. Phys. B 440
1995
T. Mano and H. Watanabe, Twisted cohomology and homology groups associated to the riemann-wirtinger integral , Proceedings of the American Mathematical Society 140
2012
Later among the works it cites.
H. Gomez and C. R. Mafra, The closed-string 3-loop amplitude and S-duality , JHEP 10
2013
Later among the works it cites.
2013
Later among the works it cites.
E. Witten, The Feynman i ϵ i\epsilon in String Theory , JHEP 04
2015
Later among the works it cites.
R. Donagi and E. Witten, Supermoduli Space Is Not Projected , Proc. Symp. Pure Math. 90
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
P. A. Baikov, Explicit solutions of the multiloop integral recurrence relations and its application , Nucl. Instrum. Meth. A 389
1997
Cited alongside, same era.
M. B. Green and P. Vanhove, The Low-energy expansion of the one loop type II superstring amplitude , Phys. Rev. D 61
2000
Cited alongside, same era.
S. B. Giddings and S. D. Thomas, High-energy colliders as black hole factories: The End of short distance physics , Phys. Rev. D 65
2002
Cited alongside, same era.
S. Dimopoulos and R. Emparan, String balls at the LHC and beyond , Phys. Lett. B 526
2002
Cited alongside, same era.
D. Chialva, R. Iengo and J. G. Russo, Decay of long-lived massive closed superstring states: Exact results , JHEP 12
2003
Cited alongside, same era.
2005
Cited alongside, same era.
2015
Later among the works it cites.
2015
Later among the works it cites.
R. Pius and A. Sen, Cutkosky rules for superstring field theory , JHEP 10
2016
Later among the works it cites.
A. Sen, One Loop Mass Renormalization of Unstable Particles in Superstring Theory , JHEP 11
2016
Later among the works it cites.
A. Sen, Unitarity of Superstring Field Theory , JHEP 12
2016
Later among the works it cites.
C. S. Lam and Y.-P. Yao, Evaluation of the Cachazo-He-Yuan gauge amplitude , Phys. Rev. D 93
2016
Later among the works it cites.
P. Tourkine, Tropical Amplitudes , Annales Henri Poincare 18
2017
Later among the works it cites.
S. Mizera, Combinatorics and Topology of Kawai-Lewellen-Tye Relations , JHEP 08
2017
Later among the works it cites.
2017
Later among the works it cites.
R. Pius and A. Sen, Unitarity of the Box Diagram , JHEP 11
2018
Later among the works it cites.
E. Witten, Notes On Super Riemann Surfaces And Their Moduli , Pure Appl. Math. Quart. 15
2019
Later among the works it cites.
B. Pioline, String theory integrands and supergravity divergences , JHEP 02
2019
Later among the works it cites.
S. Stieberger, Periods and superstring amplitudes , in Periods in Quantum Field Theory and Arithmetic (J. I. Burgos Gil, K. Ebrahimi-Fard and H. Gangl, eds.), (Cham), pp. 45–76, Springer International Publishing, 2020
2020
Later among the works it cites.
O. Schlotterer, The number theory of superstring amplitudes , in Periods in Quantum Field Theory and Arithmetic (J. I. Burgos Gil, K. Ebrahimi-Fard and H. Gangl, eds.), (Cham), pp. 77–103, Springer International Publishing, 2020
2020
Later among the works it cites.
S. Mizera, Crossing symmetry in the planar limit , Phys. Rev. D 104
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.