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We argue that the standard practice of adopting an exponential model for the disk all the way to its center is inadequate because it implicitly neglects the fact of star formation (SF) quenching in the centers of LTGs. Extrapolating the fit to the observable star-forming zone of the disk (outside the bulge) inwardly overestimates the true surface brightness of the disk in its SF-quenched central zone (beneath the bulge). We refer to this effect as<jats:italic>\u03b4<\/jats:italic><jats:sub>io<\/jats:sub>. Using predictions from evolutionary synthesis models and by applying to integral field spectroscopy data R<jats:sc>EMOVE<\/jats:sc>Y<jats:sc>OUNG<\/jats:sc>, a tool that allows the suppression of stellar populations younger than an adjustable age cutoff we estimate the<jats:italic>\u03b4<\/jats:italic><jats:sub>io<\/jats:sub>in the centers of massive SF-quenched LTGs to be up to \u223c2.5 (0.7)<jats:italic>B<\/jats:italic>(<jats:italic>K<\/jats:italic>) mag. The primary consequence of the neglect of<jats:italic>\u03b4<\/jats:italic><jats:sub>io<\/jats:sub>in bulge-disk decomposition studies is the oversubtraction of the disk underneath the bulge, leading to a systematic underestimation of the true luminosity of the latter. Secondary biases impact the structural characterization (e.g., S\u00e9rsic exponent<jats:italic>\u03b7<\/jats:italic>and effective radius) and color gradients of bulges, and might include the erroneous classification of LTGs with a moderately faint bulge as bulgeless disks. Framed in the picture of galaxy downsizing and inside-out SF quenching,<jats:italic>\u03b4<\/jats:italic><jats:sub>io<\/jats:sub>is expected to differentially impact galaxies across redshift and stellar mass \u2133<jats:sub>\u22c6<\/jats:sub>, thus leading to systematic and complex biases in the scatter and slope of various galaxy scaling relations. We conjecture that correction for the<jats:italic>\u03b4<\/jats:italic><jats:sub>io<\/jats:sub>effect will lead to a down-bending of the bulge versus supermassive black hole relation for galaxies below log(\u2133<jats:sub>\u22c6<\/jats:sub>\/<jats:italic>M<\/jats:italic><jats:sub>\u2299<\/jats:sub>) \u223c 10.7. A decreasing \u2133<jats:sub>\u2219<\/jats:sub>\/\u2133<jats:sub>\u22c6<\/jats:sub>ratio with decreasing \u2133<jats:sub>\u22c6<\/jats:sub>would help to consistently explain the scarcity and weakness of accretion-powered nuclear activity in low-mass spiral galaxies. Finally, it is pointed out that a well-detectable<jats:italic>\u03b4<\/jats:italic><jats:sub>io<\/jats:sub>(&gt; 2<jats:italic>r<\/jats:italic>mag) can emerge early on through inward migration of star-forming clumps from the disk in combination with a strong contrast of emission-line equivalent widths between the quenched protobulge and its star-forming periphery. Spatially resolved studies of<jats:italic>\u03b4<\/jats:italic><jats:sub>io<\/jats:sub>with the<jats:italic>James Webb<\/jats:italic>Space Telescope, the Extremely Large Telescope, and Euclid could therefore offer key insights into the chronology and physical drivers of SF-quenching in the early phase of galaxy assembly.<\/jats:p>","DOI":"10.1051\/0004-6361\/202140641","type":"journal-article","created":{"date-parts":[[2021,11,16]],"date-time":"2021-11-16T19:51:52Z","timestamp":1637092312000},"page":"A74","source":"Crossref","is-referenced-by-count":12,"title":["Inside-out star formation quenching and the need for a revision of bulge-disk decomposition concepts for spiral 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