Purpose

RATIONALE: Monoclonal antibodies, such as bevacizumab, can block cancer growth in different ways. Some block the ability of cancer cells to grow and spread. Others find cancer cells and help kill them or carry cancer-killing substances to them. Bevacizumab may also stop the growth of cancer cells by blocking blood flow to the cancer. Drugs used in chemotherapy work in different ways to stop the growth of cancer cells, either by killing the cells or by stopping them from dividing. Giving bevacizumab together with combination chemotherapy may kill more cancer cells. PURPOSE: This phase II trial is studying how well giving bevacizumab together with several chemotherapy drugs (combination chemotherapy) works in treating patients with peripheral T-cell lymphoma or natural killer cell neoplasms.