The state funds that pay pension and health-care benefits to retired teachers, corrections officers and millions of other public workers faced a cumulative shortfall of at least $1.26 trillion at the end of fiscal 2009, according to a new report.

The study, to be released Tuesday by the Pew Center on the States, found that the pension and health-care funding gap increased by 26 percent over the previous year. Pew officials said the growing shortfall was driven by inadequate state contributions, an aging population and market losses that accompanied the recession.