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Renyi and von Neumann entropies quantifying the amount of entanglement inground states of critical spin chains are known to satisfy a universal lawwhich is given by the Conformal Field Theory (CFT) describing their scalingregime. This law can be generalized to excitations described by primary fieldsin CFT, as was done in reference (Alcaraz et. al., Phys. Rev. Lett. 106, 201601(2011)), of which this work is a completion. An alternative derivation ispresented, together with numerical verifications of our results in differentmodels belonging to the c=1,1/2 universality classes. Oscillations of the Renyientropy in excited states and descendant fields are also discussed.

Entanglement of excited states in critical spin chians