A simplifying feature of the heterotic one loop four graviton amplitude
We show that the weight four modular graph functions that contribute to the integrand of the t8t8D4R4 term at one loop in heterotic string theory do not require regularization, and hence the integrand is simple. This is unlike the graphs that contribute to the integrands of the other gravitational t...
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Elsevier
2018-01-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317309383 |
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doaj-cfe6441fef8c4369a8c21f32d86caf5d2020-11-24T23:01:56ZengElsevierPhysics Letters B0370-26931873-24452018-01-01776C18218810.1016/j.physletb.2017.11.046A simplifying feature of the heterotic one loop four graviton amplitudeAnirban BasuWe show that the weight four modular graph functions that contribute to the integrand of the t8t8D4R4 term at one loop in heterotic string theory do not require regularization, and hence the integrand is simple. This is unlike the graphs that contribute to the integrands of the other gravitational terms at this order in the low momentum expansion, and these integrands require regularization. This property persists for an infinite number of terms in the effective action, and their integrands do not require regularization. We find non-trivial relations between weight four graphs of distinct topologies that do not require regularization by performing trivial manipulations using auxiliary diagrams.http://www.sciencedirect.com/science/article/pii/S0370269317309383 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Anirban Basu |
| spellingShingle |
Anirban Basu A simplifying feature of the heterotic one loop four graviton amplitude Physics Letters B |
| author_facet |
Anirban Basu |
| author_sort |
Anirban Basu |
| title |
A simplifying feature of the heterotic one loop four graviton amplitude |
| title_short |
A simplifying feature of the heterotic one loop four graviton amplitude |
| title_full |
A simplifying feature of the heterotic one loop four graviton amplitude |
| title_fullStr |
A simplifying feature of the heterotic one loop four graviton amplitude |
| title_full_unstemmed |
A simplifying feature of the heterotic one loop four graviton amplitude |
| title_sort |
simplifying feature of the heterotic one loop four graviton amplitude |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 1873-2445 |
| publishDate |
2018-01-01 |
| description |
We show that the weight four modular graph functions that contribute to the integrand of the t8t8D4R4 term at one loop in heterotic string theory do not require regularization, and hence the integrand is simple. This is unlike the graphs that contribute to the integrands of the other gravitational terms at this order in the low momentum expansion, and these integrands require regularization. This property persists for an infinite number of terms in the effective action, and their integrands do not require regularization. We find non-trivial relations between weight four graphs of distinct topologies that do not require regularization by performing trivial manipulations using auxiliary diagrams. |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269317309383 |
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