UZH-Logo

Maintenance Infos

The two-loop helicity amplitudes for $q\overline{q}^{\prime}\to {V}_1{V}_2\to 4$


Gehrmann, Thomas; von Manteuffel, Andreas; Tancredi, Lorenzo (2015). The two-loop helicity amplitudes for $q\overline{q}^{\prime}\to {V}_1{V}_2\to 4$. Journal of High Energy Physics, 2015(9):128.

Abstract

We compute the two-loop massless QCD corrections to the helicity amplitudes for the production of two massive vector bosons in quark-antiquark annihilation, allowing for an arbitrary virtuality of the vector bosons: $q \bar q' \to V_1V_2$. Combining with the leptonic decay currents, we obtain the full two-loop QCD description of the corresponding electroweak four-lepton production processes. The calculation is performed by projecting the two-loop diagrams onto an appropriate basis of Lorentz structures. All two-loop Feynman integrals are reduced to a basis of master integrals, which are then computed using the differential equations method and optimised for numerical performance. We provide a public C++ code which allows for fast and precise numerical evaluations of the amplitudes.

Abstract

We compute the two-loop massless QCD corrections to the helicity amplitudes for the production of two massive vector bosons in quark-antiquark annihilation, allowing for an arbitrary virtuality of the vector bosons: $q \bar q' \to V_1V_2$. Combining with the leptonic decay currents, we obtain the full two-loop QCD description of the corresponding electroweak four-lepton production processes. The calculation is performed by projecting the two-loop diagrams onto an appropriate basis of Lorentz structures. All two-loop Feynman integrals are reduced to a basis of master integrals, which are then computed using the differential equations method and optimised for numerical performance. We provide a public C++ code which allows for fast and precise numerical evaluations of the amplitudes.

Citations

6 citations in Web of Science®
2 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

7 downloads since deposited on 15 Feb 2016
7 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:September 2015
Deposited On:15 Feb 2016 15:29
Last Modified:05 Apr 2016 20:02
Publisher:Springer
ISSN:1029-8479
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/JHEP09(2015)128
Related URLs:http://arxiv.org/abs/1503.04812 (Organisation)

Download

[img]
Preview
Content: Accepted Version
Filetype: PDF
Size: 1MB
View at publisher
[img]
Preview
Content: Published Version
Filetype: PDF
Size: 2MB
Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations