lateral arcuate ligament lateral arcuate ligament the lateral arcuate ligament (also lateral lumbocostal arch and external arcuate ligament) is a ligament under the diaphragm that arches across the upper part of the quadratus lumborum muscle. it is traversed by the subcostal nerve, artery and vein. lateral arcuate ligamentthe diaphragm. under surface. (lat. arcuate ligament visible at bottom left.)detailsidentifierslatinligamentum arcuatum lateraleta98a04.4.02.007ta22335, 2350fma58283anatomical terminology structure the lateral arcuate ligament runs from the front of the transverse process of the first lumbar vertebra, and, laterally, to the tip and lower margin of the twelfth rib. it forms an arch over the quadratus lumborum muscle. variations the lateral arcuate ligament is commonly described in anatomy textbooks as attaching at the first lumbar vertebra (l1). however, other instances have been found in cadaver studies with attachments at either the second (l2) or third (l3) lumbar vertebra. in around 5% of people, inferolateral extensions of the lateral arcuate ligaments, such as thickened nodular areas, are found adjacent to the lateral diaphragmatic surface which can be visualized with computed tomography (ct) scans. history the lateral arcuate ligaments were described by galen, as early as ad 177. this was found in his animal dissections performed as part of his rome lectures, collected in de anatomicus administrationibus.