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The sample is representative for <jats:italic>M<\/jats:italic>\n                  <jats:sub>\u22c6<\/jats:sub> &gt; 3 \u00d7 10<jats:sup>10<\/jats:sup>\n                  <jats:italic>M<\/jats:italic>\n                  <jats:sub>\u2299<\/jats:sub> and includes all types of galaxies, irrespective of morphology and color. We demonstrate that using <jats:italic>R<\/jats:italic> = <jats:italic>R<\/jats:italic>\n                  <jats:sub>sma<\/jats:sub> (the semimajor axis length of the ellipse that encloses 50% of the light) in combination with an inclination correction on <jats:inline-formula>\n                     <jats:tex-math>\n\n<\/jats:tex-math>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi>\u03c3<\/mml:mi>\n                        <mml:msub>\n                           <mml:mrow>\n                              <mml:mo accent=\"true\">\u2032<\/mml:mo>\n                           <\/mml:mrow>\n                           <mml:mrow>\n                              <mml:mo>\u22c6<\/mml:mo>\n                              <mml:mo>,<\/mml:mo>\n                              <mml:mi>int<\/mml:mi>\n                           <\/mml:mrow>\n                        <\/mml:msub>\n                     <\/mml:math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"apjac83c5ieqn3.gif\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula> produces an unbiased <jats:italic>M<\/jats:italic>\n                  <jats:sub>vir<\/jats:sub>. We confirm the importance of projection effects on <jats:inline-formula>\n                     <jats:tex-math>\n\n<\/jats:tex-math>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi>\u03c3<\/mml:mi>\n                        <mml:msub>\n                           <mml:mrow>\n                              <mml:mo accent=\"true\">\u2032<\/mml:mo>\n                           <\/mml:mrow>\n                           <mml:mrow>\n                              <mml:mo>\u22c6<\/mml:mo>\n                              <mml:mo>,<\/mml:mo>\n                              <mml:mi>int<\/mml:mi>\n                           <\/mml:mrow>\n                        <\/mml:msub>\n                     <\/mml:math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"apjac83c5ieqn4.gif\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula> by showing the existence of a similar residual trend between virial mass estimates and inclination for the nearby early-type galaxies in the ATLAS<jats:sup>3D<\/jats:sup> survey. Also, as previously shown, when using a S\u00e9rsic profile-based <jats:italic>R<\/jats:italic> estimate, a S\u00e9rsic index-dependent correction to account for nonhomology in the radial profiles is required. With respect to analogous dynamical models for low-redshift galaxies from the ATLAS<jats:sup>3D<\/jats:sup> survey we find a systematic offset of 0.1 dex in the calibrated virial constant for LEGA-C, which may be due to physical differences between the galaxy samples or an unknown systematic error. Either way, with our work we establish a common mass scale for galaxies across 8 Gyr of cosmic time with a systematic uncertainty of at most 0.1 dex.<\/jats:p>","DOI":"10.3847\/1538-4357\/ac83c5","type":"journal-article","created":{"date-parts":[[2022,8,25]],"date-time":"2022-08-25T09:17:43Z","timestamp":1661419063000},"page":"9","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":39,"title":["The Mass Scale of High-redshift Galaxies: Virial Mass Estimates Calibrated with Stellar Dynamical Models from LEGA-C"],"prefix":"10.3847","volume":"936","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5027-0135","authenticated-orcid":true,"given":"Arjen van der","family":"Wel","sequence":"first","affiliation":[]},{"given":"Josha 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