It depend on how much wider. For a small shift in the FWHM, we could be talking about a small difference in Sn concentration in your GeSn alloy compared to your references.
(Wirths, S., et al. "Band engineering and growth of tensile strained Ge/(Si) GeSn heterostructures for tunnel field effect transistors." Applied physics letters 102.19 (2013): 192103.)
Depending how your film was deposited, it could also have to do with the annealing temperature used.
(Su, Shaojian, et al. "GeSn pin photodetector for all telecommunication bands detection." Optics express 19.7 (2011): 6400-6405.)
Generally a narrow peak will point towards a high crystallinity, not the other way around. I would also check the laser wavelength used for acquiring your spectra compared to your reference, it can have a shifting or widening effect on some peaks in spectra.