scholarly journals The High-Energy Limit of 2 to 2 Partonic Scattering Amplitudes

2019 ◽  
Author(s):  
Einan Gardi ◽  
Simon Caron-Huot ◽  
Joscha Reichel ◽  
Leonardo Vernazza
2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Enrico Herrmann ◽  
Julio Parra-Martinez ◽  
Michael S. Ruf ◽  
Mao Zeng

Abstract We compute classical gravitational observables for the scattering of two spinless black holes in general relativity and $$ \mathcal{N} $$ N =8 supergravity in the formalism of Kosower, Maybee, and O’Connell (KMOC). We focus on the gravitational impulse with radiation reaction and the radiated momentum in black hole scattering at $$ \mathcal{O} $$ O (G3) to all orders in the velocity. These classical observables require the construction and evaluation of certain loop-level quantities which are greatly simplified by harnessing recent advances from scattering amplitudes and collider physics. In particular, we make use of generalized unitarity to construct the relevant loop integrands, employ reverse unitarity, the method of regions, integration-by-parts (IBP), and (canonical) differential equations to simplify and evaluate all loop and phase-space integrals to obtain the classical gravitational observables of interest to two-loop order. The KMOC formalism naturally incorporates radiation effects which enables us to explore these classical quantities beyond the conservative two-body dynamics. From the impulse and the radiated momentum, we extract the scattering angle and the radiated energy. Finally, we discuss universality of the impulse in the high-energy limit and the relation to the eikonal phase.


2006 ◽  
Vol 749 (1-3) ◽  
pp. 280-290 ◽  
Author(s):  
Chuan-Tsung Chan ◽  
Jen-Chi Lee ◽  
Yi Yang

1962 ◽  
Vol 8 (12) ◽  
pp. 493-494 ◽  
Author(s):  
E. Predazzi ◽  
T. Regge ◽  
C. Rossetti

2011 ◽  
Vol 26 (09) ◽  
pp. 603-623
Author(s):  
ANNA M. STASTO

We briefly review some selected topics in the small x physics. In particular, we discuss the progress in the problem related to the resummation at small x and the parton saturation phenomena. Finally we discuss some phenomenological applications to deep inelastic scattering, hadron and heavy ion collisions.


Interest in the continuous β-ray spectrum has been revived during the past few years by the discovery of induced β-ray activity and the difficulty which has been experienced in incorporating an account of the phenomenon in the theory of the nucleus. Attention has been focused on two features of the spectrum: the high-energy limit, the accurate measurement of which yields the total change in nuclear energy associated with the β disintegration, and the form of the energy distribution curve, which is discriminative in theories of the β-ray emission process. Owing to the convenience of R aE as a source, the β-ray spectrum of this element has received considerable attention, and a comprehensive table of previous work published in a recent paper by O’Conor (1937) shows that recent values of the high-energy limit obtained with magnetic spectrometers are in fair agreement. The form of the R aE spectrum, however, is still not known with any certainty. This can be made clear with the help of Table I, which sets out the results and significant experimental details of the work carried out since 1935 with magnetic spectrometers. Some recent work with cloud expansion chambers is not included because the results are rather discordant. With the relatively low energy electrons of R aE and the high probability of nuclear collisions in the chamber, measurements of the energies of the β-particles are extremely difficult, and the results are probably not as reliable as those obtained with magnetic spectrometers.


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