The Standard Model within Non-associative Geometry

Abstract

We present the construction of the standard model within the framework of non--associative geometry. For the simplest scalar product we get the tree--level predictions $m_W=\frac{1}{2} m_t\,,$ $m_H=\frac{3}{2} m_t$ and $\sin^2 θ_W= \frac{3}{8}.$ These relations differ slightly from predictions derived in non--commutative geometry.