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We investigate the evolution of the baryon asymmetry of the Universe (BAU) inits symmetric phase before the electroweak phase transition (EWPT) induced byleptogenesis in the hypermagnetic field of an arbitrary structure and with amaximum hypermagnetic helicity density. The novelty of this work is that theBAU has been calculated for a continuous hypermagnetic helicity spectrum. Theobserved BAU $B_{obs} = 10^{-10}$ that can be in large-scale hypermagneticfields satisfying the wave number inequality $k \leq k_{max}$ grows withincreasing $k_{max}$. We will also show that the initial right-handed electronasymmetry $\xi_{eR}(\eta_0)$ used in our leptogenesis model as a free parametercannot take too large values, $\xi_{eR}(\eta_0) = 10^{-4}$, because this leadsto a negative BAU by the EWPT time. In contrast, a sufficiently small initialright-handed electron asymmetry, $\xi_{eR}(\eta_0)$, provides its furthergrowth and the corresponding BAU growth from zero to some positivevalue,including the observed $B_{obs} = 10^{-10}$.

Leptogenesis in the Symmetric Phase of the Early Universe: Baryon Asymmetry and Hypermagnetic Helicity Evolution