Bloomfield, 40, takes charge of the Hatters after Rob Edwards agreed to step down from the role last week.
He arrives at the Championship from Sky Bet League One promotion hopefuls Wycombe and will be joined by assistant Richard Thomas, first-team coach Lee Harrison and analyst Ben Cirne.
Bloomfield, who has signed a three-and-a-half-year contract, made over 500 appearances for the Chairboys as a player and returned to Adams Park as a manager in 2023 following a stint in charge of Colchester.
But who will now succeed him as manager of Wycombe, a team who are second in League One, four points clear of fourth-placed Huddersfield Town who they lost 1-0 to last Tuesday, and nine clear of Barnsley in fifth.
Here’s a look at the contenders. Odds provided by Bonus Code Bets.

1. HIGH WYCOMBE, ENGLAND - APRIL 21: General view inside of the stadium ahead of the Sky Bet Championship match between Wycombe Wanderers and Bristol City at Adams Park on April 21, 2021 in High Wycombe, England. Sporting stadiums around the UK remain under strict restrictions due to the Coronavirus Pandemic as Government social distancing laws prohibit fans inside venues resulting in games being played behind closed doors. (Photo by Paul Harding/Getty Images)
Wycombe are looking for a new manager after Matt Bloomfield left for Luton. (Picture: Paul Harding/Getty Images) Photo: Paul Harding

2. 13. Martin O'Neill - 40/1
He couldn't could he? A glorious return to Wycombe Wanderers for Martin O'Neill who launched his career at Adams Park in the 1990s (Picture: Getty Images) Photo: Gary M. Prior

3. 12. Mat Sadler - 15/1
Walsall manager Mat Sadler has made quite a name for himself in leading his team to the top of League Two (Picture: Mike Hewitt/Getty Images) Photo: Mike Hewitt

4. 11. Ian Foster - 15/1
Former England age group manager and boss of Plymouth Argyle last season, Ian Foster (Picture: Harry Trump/Getty Images) Photo: Harry Trump