Male STEM researchers are paid $266 more than women for each one-point increment in the h-index

A recent article published in Science comments on a new study of more than 3000 tenure-track researchers working in Science, Technology, Engineering, and Math (STEM) which shows that women receive smaller salary increases associated with their research productivity than do men. https://www.science.org/content/article/gender-pay-gap-hits-university-faculty

Unfortunately, the study has two limitations (not acknowledged by its authors). It uses the Scholar Google database that has disambiguation problems, it contains non-peer-reviewed publications and it's not possible to control for self-citations. Furthermore, as Koltun et al has shown, scientists working in STEM disciplines that are plagued by hyperauthorship can no longer be evaluated with the h-index, but only with the h-frac index. https://pacheco-torgal.blogspot.com/2021/11/evaluating-researchers-in-fast-and.html

Surprisingly or not in my country, there´s absolutely no relation between the salary of scientists and the increment in the h-index. In Portugal, we have hundreds of Full Professors (both male and female) with an h-index much lower than the h-index of Assistant professors and even lower than the h-index of postdocs. 

PS - Check also the paper "How can I improve my scientific impact? The most influential factors in predicting the h-index"