Paramore and Fall Out Boy are back on top

Paramore members attend the 53rd Grammy Awards in Los Angeles in 2011.  (Kirk McKoy / Los Angeles Times)

Paramore, led by singer Hayley Williams, performs at the Hollywood Palladium in 2009.  (Liz O. Baylen / Los Angeles Times)

Paramore band members Jeremy Davis, left, Josh Farro, Zac Farro, Taylor York and Hayley Williams are photographed in 2009.  (Lawrence K. Ho / Los Angeles Times)

Paramore band members Josh Farro, Jeremy Davis, Zac Farro, Hayley Williams and Taylor York in 2009.  (Lawrence K. Ho / Los Angeles Times)

Paramore singer Hayley Williams performs at the Gibson Amphitheatre in Universal City, Calif., in 2009.  (Ken Hively / Los Angeles Times)

Fall Out Boy members Joe Trohman, Patrick Stump, Andy Hurley and Pete Wentz pose backstage during the 2013 Coachella Valley Music and Arts Festival in Indio, Calif.  (John Shearer / Associated Press)

Fall Out Boy’s Pete Wentz, right, performs with Rapper 2 Chainz during the 2013 Coachella Valley Music and Arts Festival in Indo, Calif.  (Karl Walter / Getty Images for Coachella)

Pete Wentz performs with Fall Out Boy at the Rock the Vote Ballot Bash in Denver, on Aug. 26, 2008.  (Matt Sayles / Associated Press)

Fall Out Boy, led by Pete Wentz, performs at the House of Blues in Chicago, Ill., in 2007.  (Scott Gries / Getty Images)

Fall Out Boy’s Peter Wentz performs during KROQ’s annual Christmas show in Los Angeles in 2006.  (Spencer Weiner / Los Angeles Times)