Sie befinden Sich nicht im Netzwerk der Universität Paderborn. Der Zugriff auf elektronische Ressourcen ist gegebenenfalls nur via VPN oder Shibboleth (DFN-AAI) möglich. mehr Informationen...
The journal of high energy physics, 2016-10, Vol.2016 (10), p.1-34, Article 116
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2016
Quelle
EZB Electronic Journals Library
Beschreibungen/Notizen
A
bstract
Recently, we proposed a new approach using a punctured Elliptic curve in the CHY framework in order to compute one-loop scattering amplitudes. In this note, we further develop this approach by introducing a set of connectors, which become the main ingredient to build integrands on
M
1
,
n
, the moduli space of n-punctured Elliptic curves. As a particular application, we study the Φ
3
bi-adjoint scalar theory. We propose a set of rules to construct integrands on
M
1
,
n
from Φ
3
integrands on
M
0
,
n
, the moduli space of n-punctured spheres. We illustrate these rules by computing a variety of Φ
3
one-loop Feynman diagrams. Conversely, we also provide another set of rules to compute the corresponding CHY-integrand on
M
1
,
n
by starting instead from a given Φ
3
one-loop Feynman diagram. In addition, our results can easily be extended to higher loops.