formula

$&&E[M_t^p]\\ &\leq& 1+\frac{p}{(2\pi t)^{d/2}}\frac{\pi^{d/2}}{\Gamma(d/2+1)}\int_1^{\infty} y^{p-1-d/(d-2)}dy\\ &\leq& 1+\frac{1}{(2t)^{d/2}\Gamma(d/2+1)(d/(d-2)-p)}$