Interactions in Intersecting Brane Models

TL;DR

This paper computes scattering amplitudes in type II string models with intersecting D-branes, revealing a natural mechanism for Yukawa coupling hierarchies and analyzing four-fermion interactions.

Contribution

It provides explicit calculations of three and four-point amplitudes in intersecting D-brane models, highlighting their implications for mass hierarchies and fermion interactions.

Findings

Yukawa couplings exhibit a natural hierarchy

Explicit four-fermion amplitude derived

Insights into fermion interactions at D-brane intersections

Abstract

We calculate tree level three and four point scattering amplitudes in type II string models with matter fields localized at the intersections of D-brane wrapping cycles. The analysis of the three point amplitude is performed in the context of Yukawa couplings and it is seen that a natural mechanism for the generation of a mass hierarchy arises. The four point amplitude for fermions at the intersection of four independent stacks of D-branes is then determined.