Inclusion Criteria:

• INCLUSION CRITERIA FOR SCREENING (STEP 0 - PREREGISTRATION)
  • Patients must have histologically confirmed mantle cell lymphoma, with cyclin D1 by immunohistochemical stains and/or t(11;14) by cytogenetics or FISH. If patient has cyclin D1 negative mantle cell lymphoma with classical morphology and an expression profile (including SOX11+) that is otherwise indistinguishable from mantle cell lymphoma, communication with investigator is required for consideration of enrollment. The proliferation rate, using Ki-67 or MIB-1, should also be determined, but is not required until Step 1 registration. Patients may register to Step 0 without a documented Ki-67 index.
  • Patients should be deemed to be potentially eligible and willing candidates for auto-HCT by the enrolling physician
  • Patient may be receiving or have completed induction therapy within 60 days prior to preregistration to step 0; no more than 300 days may have passed between the first day of induction therapy and preregistration to step 0
    • For patients who have completed induction therapy, restaging evaluation must show status of partial (PR) or complete response (CR); patients preregistered post-induction with evidence of clinical disease progression are not eligible for preregistration
    • Up to two regimens of chemotherapy are allowed as long as a continuous response was ongoing throughout therapy
      • NOTE: For example, a patient who started treatment with rituximab/bendamustine and was then switched to rituximab(R)-cyclophosphamide, doxorubicin hydrochloride, vincristine sulfate, and prednisone (CHOP) (due to insufficient response or excessive toxicity) would be counted as having received 2 regimens; however, R-CHOP alternating with R-dexamethasone, high-dose cytarabine, and cisplatin (DHAP) as a planned induction regimen would count as one regimen
• Patient does not have any documented history of central nervous system (CNS) involvement by mantle cell lymphoma; this includes no evidence of parenchymal brain, spinal cord, or cerebrospinal fluid involvement; radiculopathy symptoms from nerve root compression by lymphoma do not constitute CNS involvement
• Patient must have archived formalin-fixed paraffin-embedded (FFPE) tumor tissue specimen from the original diagnostic biopsy available for submission to Adaptive Biotechnologies for ClonoSEQ ID molecular marker identification of unique clonal immunoglobulin deoxyribonucleic acid (DNA) sequence
  • NOTE: Patients for whom the molecular marker is identified will have peripheral blood collected after completion of induction (patient?s disease status is PR or CR) and submitted to Adaptive Biotechnologies for minimal residual disease (MRD) assessment

• INCLUSION CRITERIA FOR TREATMENT ASSIGNMENT (STEP 1)
  • Patients must have met eligibility criteria for the screening step
  • Institution has received results from Adaptive Biotechnologies as defined by one of the following criteria:
    • Patients are ?MRD Indeterminate?: ClonoSEQ ID molecular marker assessment did not identify any unique clonal immunoglobulin DNA sequence OR
    • ClonoSEQ ID molecular marker assessment identified unique clonal immunoglobulin DNA sequence and MRD assessment is completed
  • Patients must have completed induction therapy within 120 days prior to preregistration to step 0, AND no more than 300 days may have elapsed from the first dose of induction chemotherapy (cycle 1 [C1] day 1 [D1]) given, until the last day of induction chemotherapy administered; for those assigned to Arms A, C, or D, the date of transplant (?day 0?) must not be greater than 365 days after the first dose of induction chemotherapy (C1D1) given
    • Patient must have received at least four (4) cycles of induction therapy
    • Up to two regimens of chemotherapy are allowed as long as a continuous response was ongoing throughout therapy
      • NOTE: For example, a patient who started treatment with rituximab/bendamustine and was then switched to R-CHOP (due to insufficient response or excessive toxicity) would be counted as having received 2 regimens; however, R-CHOP alternating with R-DHAP as a planned induction regimen would count as one regimen
  • Patients must have achieved a radiologic complete or partial remission as defined by the Lugano criteria
  • Patients must meet institutional eligibility requirements for stem cell transplant, including cardiac, renal, liver, and pulmonary requirements
  • Patients have an Eastern Cooperative Oncology Group (ECOG) performance status of 0-2
  • Human immunodeficiency virus (HIV) positive patients are not excluded, but to enroll, must meet all of the below criteria:
    • HIV is sensitive to antiretroviral therapy
    • Must be willing to take effective antiretroviral therapy if indicated
    • CD4 count at screening >= 300 cells/mm^3
    • No history of acquired immune deficiency syndrome (AIDS)-defining conditions
  • Patient must be disease-free >= 3 years of prior malignancies with the exception of adequately treated non-melanoma skin cancer, adequately treated in situ carcinoma, low grade prostate carcinoma (Gleason grade =< 6) managed with observation that has been stable for at least 6 months
  • Women must not be pregnant or breast-feeding
    • All females of childbearing potential must have a blood test or urine study within 2 weeks prior to registration to rule out pregnancy
    • A female of childbearing potential is any woman, regardless of sexual orientation or whether they have undergone tubal ligation, who meets the following criteria: 1) has not undergone a hysterectomy or bilateral oophorectomy; or 2) has not been naturally postmenopausal for at least 24 consecutive months (i.e., has had menses at any time in the preceding 24 consecutive months)
  • Women of childbearing potential and sexually active males must be strongly advised to use an accepted and effective method of contraception or to abstain from sexual intercourse for the duration of their participation in the study