(For a Reuters live blog on U.S., UK and European stock markets, click LIVE/ or type LIVE/ in a news window) Dec 29 (Reuters) - European stocks extended their year-end rally on Tuesday as a Brexit trade deal, hopes of an expanded U.S. stimulus package and euro zone’s marathon COVID-19 vaccination campaign brightened prospects for global growth in 2021. The pan-European STOXX 600 was up 0.8% by 0828 GMT, rising for a fifth straight session and scaling a new 10-month high. UK stocks were higher after a long weekend, with the blue-chip FTSE 100 jumping 1.6% after the sealing of a Brexit trade agreement between Britain and the European The German DAX rose 0.6% and extended a record run as global markets rallied on hopes that a long-awaited U.S. pandemic relief package would be expanded. Software group SAP provided the biggest boost to the DAX after its unit, Qualtrics International Inc, filed for a U.S. initial public offering of up to $100 million. (Reporting by Sruthi Shankar in Bengaluru; Editing by Anil D’Silva)