Warren B. Perkins
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Research Interests
Warren B. Perkins has a total of 43 co-authors. Here are the top co-authors by number of shared publications:
- David C. Dunbar
Swansea University
30 shared publications Anne-Christine Davis
9 shared publications- Anne-Christine Davis
Cambridge University
7 shared publications - James H. Ettle
Department of Physics Swansea University SA2 8PP Swansea UK
6 shared publications Guy R. Jehu
5 shared publicationsJohn H. Godwin
College of Science, Swansea University, Swansea SA2 8PP, United Kingdom
5 shared publications
Latest Publications
- Open Access
- 26 February 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (2) , 1-44
The seven-point two-loop full-color all-plus helicity Yang-Mills amplitude
The seven-gluon two-loop full-color Yang-Mills amplitude is presented in a compact analytic form where we use the methods of four-dimensional unitarity cuts to obtain the polylogarithmic pieces and augmented recursion to obtain the rational pieces. Furthermore, an n-point form for the full-color polylogarithmic piece is presented. We use these results to probe for potential relations amongst the two-loop partial amplitudes.
- 26 February 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (2) , 1-44
Open AccessThe seven-point two-loop full-color all-plus helicity Yang-Mills amplitude
The seven-gluon two-loop full-color Yang-Mills amplitude is presented in a compact analytic form where we use the methods of four-dimensional unitarity cuts to obtain the polylogarithmic pieces and augmented recursion to obtain the rational pieces. Furthermore, an n-point form for the full-color polylogarithmic piece is presented. We use these results to probe for potential relations amongst the two-loop partial amplitudes.
- Open Access
- 27 April 2020
- Published by American Physical Society (APS) in Physical Review D
- Vol. 101 (7) , 076024
Full color two-loop six-gluon all-plus helicity amplitude
We present the full color two-loop six-point all-plus Yang-Mills amplitude in compact analytic form. The computation uses four-dimensional unitarity and augmented recursion.
- 27 April 2020
- Published by American Physical Society (APS) in Physical Review D
- Vol. 101 (7) , 076024
Open AccessFull color two-loop six-gluon all-plus helicity amplitude
We present the full color two-loop six-point all-plus Yang-Mills amplitude in compact analytic form. The computation uses four-dimensional unitarity and augmented recursion.
- Open Access
- 2 April 2020
- Published by American Physical Society (APS) in Physical Review D
- Vol. 101 (7) , 076001
-point QCD two-loop amplitudeWe present an explicit expression for a particular -gluon two-loop scattering partial amplitude. Specifically we present an analytic form for the single-trace -independent color partial amplitude for the case where all external gluons have positive helicity.- 2 April 2020
- Published by American Physical Society (APS) in Physical Review D
- Vol. 101 (7) , 076001
Open Access-point QCD two-loop amplitudeWe present an explicit expression for a particular -gluon two-loop scattering partial amplitude. Specifically we present an analytic form for the single-trace -independent color partial amplitude for the case where all external gluons have positive helicity. - Open Access
- 13 January 2020
- Published by American Physical Society (APS) in Physical Review D
- Vol. 101 (1) , 016009
Color dressed unitarity and recursion for Yang-Mills two-loop all-plus amplitudes
We present a direct computation of the full color two-loop five-point all-plus Yang-Mills amplitude using four dimensional unitarity and recursion. We present the amplitudes in compact analytic forms. Our results match the explicit expressions previously computed but do not require full two-loop integral methods.- 13 January 2020
- Published by American Physical Society (APS) in Physical Review D
- Vol. 101 (1) , 016009
Open AccessColor dressed unitarity and recursion for Yang-Mills two-loop all-plus amplitudes
We present a direct computation of the full color two-loop five-point all-plus Yang-Mills amplitude using four dimensional unitarity and recursion. We present the amplitudes in compact analytic forms. Our results match the explicit expressions previously computed but do not require full two-loop integral methods. - Open Access
- 1 May 2018
- Published by Elsevier in Physics Letters B
- Vol. 780, 41-47
Loop amplitudes in an extended gravity theory
- 1 May 2018
- Published by Elsevier in Physics Letters B
- Vol. 780, 41-47
Open AccessLoop amplitudes in an extended gravity theory
- Open Access
- 2 March 2018
- Published by Sissa Medialab Srl
- Vol. 290, 026
Analytic results for two-loop Yang-Mills
- 2 March 2018
- Published by Sissa Medialab Srl
- Vol. 290, 026
Open AccessAnalytic results for two-loop Yang-Mills
- 19 December 2017
- Published by American Physical Society (APS) in Physical Review D
- Vol. 96 (11) , 116013
Analytic all-plus-helicity gluon amplitudes in QCD
We detail the calculation of two-loop all-plus-helicity amplitudes for pure Yang-Mills theory. The four-dimensional unitarity methods and augmented recursion techniques we have developed, together with a knowledge of the singular structure of the amplitudes, allow us to compute these in compact analytic forms. Specifically we present the computation and analytic results for the six- and seven-gluon leading color two-loop amplitudes, these being the first QCD two-loop amplitudes beyond five points.
- 19 December 2017
- Published by American Physical Society (APS) in Physical Review D
- Vol. 96 (11) , 116013
Analytic all-plus-helicity gluon amplitudes in QCD
We detail the calculation of two-loop all-plus-helicity amplitudes for pure Yang-Mills theory. The four-dimensional unitarity methods and augmented recursion techniques we have developed, together with a knowledge of the singular structure of the amplitudes, allow us to compute these in compact analytic forms. Specifically we present the computation and analytic results for the six- and seven-gluon leading color two-loop amplitudes, these being the first QCD two-loop amplitudes beyond five points.
- Open Access
- 1 August 2017
- Published by Elsevier in Physics Letters B
- Vol. 771, 230-234
Diagrammar in an extended theory of gravity
- 1 August 2017
- Published by Elsevier in Physics Letters B
- Vol. 771, 230-234
Open AccessDiagrammar in an extended theory of gravity
- 22 February 2017
- Published by American Physical Society (APS) in Physical Review D
- Vol. 95 (4) , 046012
Two-loop gravity amplitudes from four dimensional unitarity
We compute the polylogarithmic parts of the two-loop four- and five-graviton amplitudes where the external helicities are positive and express these in a simple compact analytic form. We use these to extract the terms from both the four- and five-point amplitudes and show that these match the same counterterm.- 22 February 2017
- Published by American Physical Society (APS) in Physical Review D
- Vol. 95 (4) , 046012
Two-loop gravity amplitudes from four dimensional unitarity
We compute the polylogarithmic parts of the two-loop four- and five-graviton amplitudes where the external helicities are positive and express these in a simple compact analytic form. We use these to extract the terms from both the four- and five-point amplitudes and show that these match the same counterterm.- 29 December 2016
- Published by American Physical Society (APS) in Physical Review D
- Vol. 94 (12) , 125027
supergravity next-to-maximally-helicity-violating six-point one-loop amplitudeWe construct the six-point, next-to-maximally-helicity-violating one-loop amplitude in supergravity using unitarity and recursion. The use of recursion requires the introduction of rational descendants of the cut-constructible pieces of the amplitude and the computation of the nonstandard factorization terms arising from the loop integrals.- 29 December 2016
- Published by American Physical Society (APS) in Physical Review D
- Vol. 94 (12) , 125027
supergravity next-to-maximally-helicity-violating six-point one-loop amplitudeWe construct the six-point, next-to-maximally-helicity-violating one-loop amplitude in supergravity using unitarity and recursion. The use of recursion requires the introduction of rational descendants of the cut-constructible pieces of the amplitude and the computation of the nonstandard factorization terms arising from the loop integrals.