Low momentum expansion of one loop amplitudes in heterotic string theory

Abstract We consider the low momentum expansion of the four graviton and the two graviton-two gluon amplitudes in heterotic string theory at one loop in ten dimensions, and analyze contributions upto the D2ℛ4 $$ {D}^2{\mathrm{\mathcal{R}}}^4 $$ interaction from the four graviton amplitude, and the D...

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Main Author: Anirban Basu
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2017)139
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author Anirban Basu
author_facet Anirban Basu
author_sort Anirban Basu
collection DOAJ
description Abstract We consider the low momentum expansion of the four graviton and the two graviton-two gluon amplitudes in heterotic string theory at one loop in ten dimensions, and analyze contributions upto the D2ℛ4 $$ {D}^2{\mathrm{\mathcal{R}}}^4 $$ interaction from the four graviton amplitude, and the D4ℛ2ℱ2 $$ {D}^4{\mathrm{\mathcal{R}}}^2{\mathrm{\mathcal{F}}}^2 $$ interaction from the two graviton-two gluon amplitude. The calculations are performed by obtaining equations for the relevant modular graph functions that arise in the modular invariant integrals, and involve amalgamating techniques used in the type II theory and the calculation of the elliptic genus in the heterotic theory.
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spelling doaj.art-f04046b19828413fa70d50357b367a692022-12-22T02:22:16ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171116310.1007/JHEP11(2017)139Low momentum expansion of one loop amplitudes in heterotic string theoryAnirban Basu0Harish-Chandra Research Institute, HBNIAbstract We consider the low momentum expansion of the four graviton and the two graviton-two gluon amplitudes in heterotic string theory at one loop in ten dimensions, and analyze contributions upto the D2ℛ4 $$ {D}^2{\mathrm{\mathcal{R}}}^4 $$ interaction from the four graviton amplitude, and the D4ℛ2ℱ2 $$ {D}^4{\mathrm{\mathcal{R}}}^2{\mathrm{\mathcal{F}}}^2 $$ interaction from the two graviton-two gluon amplitude. The calculations are performed by obtaining equations for the relevant modular graph functions that arise in the modular invariant integrals, and involve amalgamating techniques used in the type II theory and the calculation of the elliptic genus in the heterotic theory.http://link.springer.com/article/10.1007/JHEP11(2017)139Superstrings and Heterotic StringsSupersymmetric Effective Theories
spellingShingle Anirban Basu
Low momentum expansion of one loop amplitudes in heterotic string theory
Journal of High Energy Physics
Superstrings and Heterotic Strings
Supersymmetric Effective Theories
title Low momentum expansion of one loop amplitudes in heterotic string theory
title_full Low momentum expansion of one loop amplitudes in heterotic string theory
title_fullStr Low momentum expansion of one loop amplitudes in heterotic string theory
title_full_unstemmed Low momentum expansion of one loop amplitudes in heterotic string theory
title_short Low momentum expansion of one loop amplitudes in heterotic string theory
title_sort low momentum expansion of one loop amplitudes in heterotic string theory
topic Superstrings and Heterotic Strings
Supersymmetric Effective Theories
url http://link.springer.com/article/10.1007/JHEP11(2017)139
work_keys_str_mv AT anirbanbasu lowmomentumexpansionofoneloopamplitudesinheteroticstringtheory