LHeC optics with β∗ = 10 cm and L∗ = 15 m

New proton optics have been designed for LHeC taking into account new final focus magnet designs and ensuring a full compatibility with HL-LHC version 1.3. The distance between the interaction point (IP) and the first quadrupole has been increased to 15 m to alleviate synchrotron radiation. The smallest β∗ found compatible with magnet aperture is β∗ = 10 cm. Chromaticity correction is demonstrated down to β∗ = 7 cm with acceptable Dynamic Aperture (DA). Ideas and challenges are discussed for β∗ = 5 cm and a new possible final focus based on quadrupole doublets.