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Wikipedia definition:
Sigma (/ˈsɪɡmə/ SIG-mə;1 uppercase Σ, lowercase σ, lowercase in word-final position ς; Greek: σίγμα) is the eighteenth letter of the Greek alphabet. In the system of Greek numerals, it has a value of 200. In general mathematics, uppercase Σ is used as an operator for summation. When used at the end of a letter-case word (one that does not use all caps), the final form (ς) is used. In Ὀδυσσεύς (Odysseus), for example, the two lowercase sigmas (σ) in the center of the name are distinct from the word-final sigma (ς) at the end. The Latin letter S derives from sigma while the Cyrillic letter Es derives from a lunate form of this letter.

Now the definition you've been waiting for:
Sigma has been coined as a term for the strongest male in a group.
What the sigma? Some know “sigma” as the 18th letter of the Greek alphabet but it's also teen slang for a cool dude. According to Know Your Meme, sigma is “referring to a supposed classification for men who are successful and popular, but also silent and rebellious.”

A sigma male is also the role after alpha male, which refers to a chad, while this one refers to sigma.
Example 1:
Person1: Erm, what the sigma?
Person2: *Reloads gun* I'm sorry. I have to do this. You've been consumed by the brainrot.

Example 2:

Person1: You're such a sigma.
Person2: Oh, thanks. What about you?
Person1: Oh, I'm probably just an alpha.
Sigma by PearlPC June 17, 2024
A short man, likely with a Napoloeon complex. This type of man is either a toddler on Youtube shorts or a middle aged, balding man who has mommy issues and multiple divorces under his massive belt. You will likely find a subscription to Andrew Tate's off-brand Masterclass and a frequent sprayers card to Axe body spray in his arsenal.
Sigma: How dare you ignore me, i am a sigma male!
Cashier: Sir we have no more extra fat bacon, i'm afraid there is nothing I can do
Sigma: *mantrum commences*
Sigma by blackberryenthusiast March 5, 2024
ur a SIGMA
sigma by TOBY DA GOAT March 13, 2024
Person 1-look it’s bowen white
Person 2-you mean the most sigma person of all time?
Person 1-yep!
Sigma by The peoples man March 14, 2024
Bowen-hey, you see my shirt, it says sigma
Person 2-wow where can I get one?
Sigma by The peoples man March 14, 2024
Someone who is of a very high status
Bowen-wow you look like a sigma!
Braden-Thanks man!
Sigma by The peoples man March 14, 2024