Combination Chemotherapy Followed by Radiation Therapy in Treating Young Patients With Newly Diagnosed Hodgkin's Lymphoma

Inclusion Criteria: * Histologically confirmed Hodgkin's lymphoma meeting the following criteria: * Newly diagnosed disease * Stage IA OR stage IIA without bulky disease * No lymphocyte-predominant histology * Staging on this study will be determined by the clinical stage; surgical staging is strongly discouraged, except for the rare situation of equivocal imaging studies below the diaphragm * Patients may not have received any previous chemotherapy or radiation therapy; patients may not have received systemic corticosteroids within 30 days of enrollment on this protocol; steroids used for treatment of contrast agent allergy required for computed tomography (CT) scans are acceptable * Creatinine clearance or radioisotope glomerular filtration rate (GFR) \>= 70 mL/min/1.73 m\^3 * Total bilirubin =\< 1.5 x normal * Alanine (ALT) =\< 2.5 x normal * Shortening fraction \>= 27% by echocardiogram OR ejection fraction \>= 50% by multi-gated acquisition (MUGA) * No pathologic prolongation of QTc interval on 12-lead electrocardiography (ECG) * Female patients of childbearing potential must have a negative pregnancy test * Lactating females must agree that they will not breastfeed a child while on this study * Fertile patients must use effective contraception * Males and females of reproductive potential may not participate unless they have agreed to use an effective contraceptive method * All patients and/or their parents or legal guardians must sign a written informed consent…