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The outcome of upcoming cosmological surveys will depend on the accurateestimates of photometric redshifts. In the framework of the implementation ofthe photo-z algorithm for Euclid, we are exploring new avenues to improvetemplate-fitting methods. The paper focusses on the prescription of theextinction of source light by dust in the Milky Way. Since Galactic extinctionstrongly correlates with wavelength and photometry is commonly obtained inbroad-band filters, the amount of absorption depends on the source SED, a pointoften neglected as the SED is not known a-priori. A consequence of this is thatthe observed E(B-V) (=A_B-A_V) will be different from the E(B-V) used tonormalise the absorption law k_lambda (=A_lambda/E(B-V)). Band-pass correctionsare required to renormalise the law for a given SED. We assess the band-passcorrections of a range of SEDs and find they vary by up to 20%. We investigatehow dust-to-reddening scaling factors depend of the sources used for theircalibration. We derive scaling factors from the color excesses of z<0.4 SDSSred galaxies and show that band-pass corrections predict the observeddifferences. Extinction is then estimated for a range of SEDs and filtersrelevant to Euclid and other cosmological ground-based surveys. For highextinction line-of-sights (E(B-V)>0.1, ~8% of the Euclid survey), thevariations in corrections can be ~0.1mag in the `bluer' optical filters and~0.04mag in the NIR filters. An inaccurate correction of extinction criticallyaffects photo-z. In particular, for high extinctions and z<0.5, the bias (meanD_z=z_phot-z_real) exceeds 0.2%(1+z), the precision required by weak-lensinganalyses. Additional uncertainty on the MW extinction law further reduces thephoto-z precision. We propose a new prescription of Galactic absorption fortemplate-fitting algorithms that takes into consideration the dependence ofextinction with SED.

SED-dependent Galactic Extinction Prescription for Euclid and Future Cosmological Surveys