Analyticity and higher twists

The representation for infinite sum of higher twists (HT) tower in DIS implied by analyticity of virtual Compton amplitude is suggested. Its simplest realization allows to describe the Bjorken sum rule at all momentum transfers. It is stressed that TMDs accommodate the infinite tower of HT similar to non-local vacuum condensates for the case of vacuum matrix element. The D-term in hadronic GPDs bears some similarity to vacuum cosmological constant. The negative sign of D-term may be understood as a similarity between inflation and annihilation via the graviton exchange.