Speaker
Description
In this talk I will discuss recent results [1] on the mass scales in the $SO(10)$ grand unified theory based on the following minimal Higgs representation content: adjoint $45_H$, spinor $16_H$ and complex vector $10_H$, with higher-dimensional operators on top of renormalizable interactions. Consistency of the theory requires a scalar doublet leptoquark, a scalar gluon octet and a scalar weak triplet to lie below $10$ TeV energy [1] and potentially accessible even at the LHC. In particular, the latter naturally induces a deviation in $W$-mass from its Standard Model value [2], relevant for the recent CDF-measurement.
These signatures are intimately connected with the prediction of proton lifetime below $10^{35}\rm yr$, to be probed in the new generation of proton decay experiments.
