Intermediate Grade B-Cell Non-Hodgkin's Lymphoma

This phase I trial studies the safety and feasibility of cytomegalovirus (CMV) specific CD19-chimeric antigen receptor (CAR) T cells in combination with the CMV-modified vaccinia Ankara (MVA) triplex vaccine following lymphodepletion in treating patients with intermediate or high grade B-cell non-Hodgkin lymphoma (NHL) that has come back after a period of improvement (relapsed) or that does not respond to treatment (refectory). CAR T cells are a type of treatment in which a patient's T cells (a type of immune system cell) are changed in the laboratory so they will attack cancer cells. T cells are taken from a patient's blood. Then the gene for a special receptor that binds to a certain protein on the patient's cancer cells is added in the laboratory. The special receptor is called CAR. Large numbers of the CAR T cells are grown in the laboratory and given to the patient by infusion. Vaccines such as CMV-MVA triplex are made from gene-modified viruses and may help the body build an effective immune response to kill cancer cells. Giving CMV-specific CD19-CAR T-cells plus the CMV-MVA triplex vaccine may help prevent the cancer from coming back.