Lily James and her newly-blond rocker boyfriend Michael Shuman look frosty during outing in LA

She has been busy filming an upcoming Hulu miniseries about Pamela Anderson. Outing: Lily James and her newly-blond rocker boyfriend Michael Shuman looked frosty during lunch at vegan restaurant Crossroads Kitchen in Los Angeles, California, on Tuesday Lily looked effortlessly chic for the outing in a white ruffled shirt, high-waisted denim jeans and brown suede belt to cinch in her svelte waist. Shopping trip: The actress, 32, and Queens Of The Stone Age star, 35, who were first linked in February, appeared sombre as they also stepped out for a shopping trip at the popular Melrose Avenue New look: The Queens Of The Stone Age rocker almost looked unrecognisable as he unveiled newly-dyed bleach blond locks which was a stark contrast from his usual raven hairdo, right Chic: Lily looked effortlessly chic for the outing in a white ruffled shirt, high-waisted denim jeans and brown suede belt to cinch in her svelte waist Michael looked dapper in a pair of black skinny trousers with a matching coloured T-shirt and a green cropped jacket for the outing. Cautious: Lily left her brunette locks loose adding just a slick of radiant make-up and a black protective facemask amid the coronavirus crisis Manicure: The star's French manicure, which she was spotted with earlier this week on the set of her upcoming Hulu miniseries based on Pamela Anderson, was on clear display Dapper: Michael looked dapper in a pair of black skinny trousers with a matching coloured T-shirt and a green cropped jacket for the outing Michael's parents are Ira Shuman, a former executive production manager for Walt Disney, who has worked on films such as The Wedding Singer and Strange Days, and Janet Shuman. Lunch and shopping: Lily and Michael enjoyed a spot of lunch at Crossroads Kitchen before the actress treated herself to some lavish goods at Chloé Romance: The couple were first linked in February and just last month it was believed that Michael took Lily to meet his parents, possibly for the first time Famous parents: Michael's parents are Ira Shuman, a former executive production manager for Walt Disney, who has worked on films such as The Wedding Singer and Strange Days, and Janet Shuman While in March the American rocker was thought to be staying with her at her new £3million home in north London while she was filming in the UK.