High-Dose Y-90-Ibritumomab Tiuxetan Added to Reduced-Intensity Allogeneic Stem Cell Transplant Regimen for Relapsed or Refractory Aggressive B-Cell Lymphoma

Inclusion Criteria: * Patients must have a histologically confirmed diagnosis of aggressive B-cell lymphoma (diffuse large B-cell lymphoma \[DLBCL\], Burkitt lymphoma \[BL\], etc.) expressing the CD20 antigen and have failed at least one prior standard systemic therapy * Patients must have relapsed after high-dose therapy and autologous transplantation or be ineligible for high-dose therapy and autologous transplantation; patients that have failed autologous transplantation are those with persistent disease \> 30 days after transplant; those ineligible for autologous transplant include those with chemoresistant disease (i.e., patients who have not achieved a partial response or better with their most recent chemotherapy regimen), are expected to have a poor outcome from autologous transplant (e.g., DLBCL relapsing within one year of rituximab, cyclophosphamide, doxorubicin hydrochloride, vincristine sulfate, prednisone \[R-CHOP\]-like chemotherapy, double hit lymphoma, v-myc myelocytomatosis viral oncogene homolog (avian) positive \[MYC+\] lymphoma, persistent positron emission tomography \[PET\] positivity after chemotherapy), are unable to collect sufficient or tumor-free autologous stem cells per Seattle Cancer Care Alliance (SCCA) standard practice, are unable to tolerate the high-dose autologous conditioning regimens, or who refuse a high-dose autologous transplant regimen * Creatinine (Cr) \< 2.0 * Bilirubin \< 1.5 mg/dL with the exception of patients thought to have Gilbert's syndrome, who may have a total bilirubin above 1.5 mg/dL * Aspartate aminotransferase (AST)/alanine aminotransferase (ALT) \< 3 x upper limit of normal (ULN) * Patients must have an expected survival without treatment of \> 60 days and must be free of major infection including human immunodeficiency virus (HIV) * Patients must have an HLA-identical related or HLA-matched unrelated donor Exclusion Criteria: * Receipt of systemic anti-lymphoma therapy withinthe following intervals prior to the therapeutic 90Y-ibritumomab tiuxetan dose: * \< 30 days for intravenously-administered cytotoxic chemotherapy and/or monoclonal antibodies * \< 5 half-lives for all other anti-cancer agents (e.g., targeted therapies, corticosteroids, immunomodulatory agents, etc.) * Inability to understand or give an informed consent * Active central nervous system lymphoma * Pregnancy * Fertile men or women unwilling to use contraceptive techniques during and for 12 months following treatment * Southwest Oncology Group (SWOG)/Eastern Cooperative Oncology Group (ECOG) performance score \>= 2 * High-dose chemotherapy or external beam radiation therapy to lung, liver, or kidneys \> 20 Gy within the previous 100 days prior to therapeutic 90Y-ibritumomab tiuxetan dose * Medical condition that would contraindicate allogeneic transplantation as per standard practice guidelines (e.g., impaired cardiopulmonary function, hepatitis, etc)