I was fired from Verizon Wireless after over 13 years of service. HR was brought in to put me on a program where they watched me closely to meet their requirements to remain employed. It was for and attendance and tardiness issue. Unfortunately I was not

I was fired from Verizon Wireless after over 13 years of service. HR was brought in to put me on a program where they watched me closely to meet their requirements to remain employed. It was for and attendance and tardiness issue. Unfortunately I was not successful and was terminated. I asked about my severance pay which would have amounted to 2 weeks pay for each year of service or around $40k before tax. I was an at will employee with no contract or union to protect me. Do I have any legal recourse to pursue to get the severance pay I hopefully should get?
Thanks
Will Tublin