# Fusing gauge theory tree amplitudes into loop amplitudes

@article{Bern1995FusingGT,
title={Fusing gauge theory tree amplitudes into loop amplitudes},
author={Zvi Bern and Lance J. Dixon and David C. Dunbar and David A. Kosower},
journal={Nuclear Physics},
year={1995},
volume={435},
pages={59-101}
}
• Published 9 September 1994
• Physics
• Nuclear Physics
850 Citations

## Figures and Tables from this paper

### Building bases of loop integrands

• Mathematics
Journal of High Energy Physics
• 2020
Abstract We describe a systematic approach to the construction of loop-integrand bases at arbitrary loop-order, sufficient for the representation of general quantum field theories. We provide a

### The simplest massive S-matrix: from minimal coupling to black holes

• Physics
Journal of High Energy Physics
• 2019
A bstractIn this paper, we explore the physics of electromagnetically and gravitationally coupled massive higher spin states from the on-shell point of view. Starting with the three-point amplitude,

### Tr(F3) supersymmetric form factors and maximal transcendentality. Part I. N$$\mathcal{N}$$ = 4 super Yang-Mills

• Physics
Journal of High Energy Physics
• 2018
A bstractIn the large top-mass limit, Higgs plus multi-gluon amplitudes in QCD can be computed using an effective field theory. This approach turns the computation of such amplitudes into that of

### One-loop four-point amplitudes in pure and matter-coupled $\mathcal{N}\leq 4$ supergravity

• Physics
• 2012
A bstractWe construct all supergravity theories that can be obtained through factorized orbifold projections of $\mathcal{N}=8$ supergravity, exposing their double-copy structure, and calculate

### Unitarity and On-Shell Recursion Methods for Scattering Amplitudes

This thesis describes some of the recent (and some less recent) developments in calculational techniques for scattering amplitudes in quantum field theory. The focus is on on-shell recursion

### Cut-constructible part of QCD amplitudes

• Mathematics
• 2006
Unitarity cuts are widely used in analytic computation of loop amplitudes in gauge theories such as QCD. We expand upon the technique introduced in hep-ph/0503132 to carry out any finite unitarity

### Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory

• Physics
• 2002
We present the two-loop helicity amplitudes for the scattering of two gluons into two gluons in QCD, which are relevant for next-to-next-to-leading order corrections to jet production at hadron

### Deciphering the Maximal Transcendentality Principle via Bootstrap

• Mathematics
• 2022
: We prove the principle of maximal transcendentality for a class of form factors, including the general two-loop minimal form factors, the two-loop three-point form factor of tr( F 2 ), and the

### Constructing general partial waves and renormalization in EFT

• Education, Physics
• 2021
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, P. R. China School of Physical Sciences, University of Chinese Academy of

### Classical potential for general spinning bodies

• Physics
Journal of High Energy Physics
• 2020
Abstract In this paper we compute the spin-dependent terms of the gravitational potential for general spinning bodies at the leading Newton’s constant G and to all orders in spin. We utilize the

## References

SHOWING 1-10 OF 81 REFERENCES

### The Ubiquitous photon: Helicity method for QED and QCD

• Physics
• 1990
Introduction Feynman diagrams Helicity states Single bremsstrahlung in QED Single bremsstrahlung in QCD Double bremsstrahlung Finite mass effects The production of quarkonia Summary of QED formulae

### hep-ph/9304249

• Proceedings of Theoretical Advanced Study Institute in High Energy Physics (TASI 92), eds. J. Harvey and J. Polchinski (World Scientific, 1993); Z. Bern and A. Morgan, Phys. Rev. D49:6155
• 1994

### Il Nuovo Cimento 40A:181 (1965); W

• van Neerven and J.A.M. Vermaseren, Phys. Lett. 137B:241 (1984); G. J. van Oldenborgh and J.A.M. Vermaseren, Z. Phys. C46:425 (1990); G. J. van Oldenborgh, PhD thesis, University of Amsterdam (1990); A. Aeppli, PhD thesis, University of Zurich
• 1992

### Supergravity and the S Matrix

• Physics
• 1977
We discuss supergravity from an $S$-matrix point of view. Kinematical constraints on helicity amplitudes determine the spin-2 and spin-3/2 Born amplitudes almost uniquely, and force Born amplitudes