Simplifying one-loop amplitudes in superstring theory

Abstract

We show that 4-point vector boson one-loop amplitudes, computed in ref.[1] in the RNS formalism, around vacuum configurations with open unoriented strings, preserving at least N=1 SUSY in D=4, satisfy the correct supersymmetry Ward identities, in that they vanish for non MHV configurations (++++) and (-+++). In the MHV case (--++) we drastically simplify their expressions. We then study factorisation and the limiting IR and UV behaviour and find some unexpected results. In particular no massless poles are exposed at generic values of the modular parameter. Relying on the supersymmetric properties of our bosonic amplitudes, we extend them to manifestly supersymmetric super-amplitudes and compare our results with those obtained in the D=4 hybrid formalism, pointing out difficulties in reconciling the two approaches for contributions from N=1,2 sectors.

38 pages plus appendices

References in corpus (11)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Anomalies, Anomalous U(1)'s and generalized Chern-Simons terms
• The LHC String Hunter's Companion
• String predictions for near future colliders from one-loop scattering amplitudes around D-brane worlds
• Towards the One-loop Kahler Metric of Calabi-Yau Orientifolds
• One-loop MHV Rules and Pure Yang-Mills
• On the soft limit of open string disk amplitudes with massive states
• Higher genus superstring amplitudes from the geometry of moduli spaces
• Double-soft behavior for scalars and gluons from string theory
• Mass-deformed Brane Tilings
• Supersymmetry Breaking Effects using the Pure Spinor Formalism of the Superstring

Cited by in corpus (12)

• All-order differential equations for one-loop closed-string integrals and modular graph forms
• One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points
• Generating series of all modular graph forms from iterated Eisenstein integrals
• From maximal to minimal supersymmetry in string loop amplitudes
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• Perfecting one-loop BCJ numerators in SYM and supergravity
• Emergent/Composite axions
• Partonic behavior of string scattering amplitudes from holographic QCD models
• Fermionic one-loop amplitudes of the RNS superstring
• Basis decompositions of genus-one string integrals
• Perturbative higher-derivative terms in N=6 asymmetric orbifolds
• String (gravi)photons, "dark brane photons", holography and the hypercharge portal