Regge Poles and Branch Cuts for Potential Scattering

1963 ◽  
Vol 4 (3) ◽  
pp. 359-371 ◽  
Author(s):  
J. Challifour ◽  
R. J. Eden
1964 ◽  
Vol 33 (3) ◽  
pp. 797-808 ◽  
Author(s):  
D. Bessis

It is shown how the flow of energy in the form of gravitational radiation, through a star in non-radial oscillations, can be determined by a suitable adaptation of Regge’s theory of potential scattering in the quantum theory. While the resonant scattering of axial gravitational waves can be treated by Regge’s theory, essentially, in its original form, the treatment of the resonant scattering of polar gravitational waves requires a generalization of the theory beyond its standard range and the incorporation of a ‘flux integral’ derived from independent considerations. Illustrative examples of the applications of the theory are provided.


2002 ◽  
Vol 13 (1) ◽  
pp. 9-34
Author(s):  
Michel De Haan ◽  
Claude D. George
Keyword(s):  

2017 ◽  
Vol 71 (10) ◽  
Author(s):  
Arman Korajac ◽  
Dino Habibović ◽  
Aner Čerkić ◽  
Mustafa Busuladžić ◽  
Dejan B. Milošević

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
D. Chicherin ◽  
V. Sotnikov

Abstract We complete the analytic calculation of the full set of two-loop Feynman integrals required for computation of massless five-particle scattering amplitudes. We employ the method of canonical differential equations to construct a minimal basis set of transcendental functions, pentagon functions, which is sufficient to express all planar and nonplanar massless five-point two-loop Feynman integrals in the whole physical phase space. We find analytic expressions for pentagon functions which are manifestly free of unphysical branch cuts. We present a public library for numerical evaluation of pentagon functions suitable for immediate phenomenological applications.


2018 ◽  
Vol 98 (6) ◽  
Author(s):  
A. S. Maxwell ◽  
S. V. Popruzhenko ◽  
C. Figueira de Morisson Faria

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