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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.

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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
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a term refering to an ultimate sigma an alpha if you will
"hey beta"
"who are you why are you in my house????"
"uhm quite down, your sigma is here"
"get out of my house im calling the police!"
sigma by CUMBOTTLE December 11, 2024
Sigma is the 18th letter of the Greek alphabet. Its value in the alphabet is equal to the value set on one who claims to be a sigma. Someone who is a sigma is near the end of the line. Less desirable. Although everyone today seems to THINK that a sigma is top tier. They are bottom of the barrel.

Alpha is the 1st letter of the Greek alphabet. Its value in the alphabet is equal to the value set on one who claims to be an alpha. Someone who is an alpha is in the beginning of the line. Most desirable.
I wish Tom would stop being a sigma. He always seeks attention and needs his ego stroked even though he isn't good at anything. I wish he were more like Jared. Jared is an alpha.
Sigma by Darke_Raine December 15, 2024
A combination of Significant and Charisma

To describe someone as having Significant Charisma. Sigma.
that person has so much charisma!
Some would even say a significant amount!
So Sigma!
Sigma by Kosmoses January 6, 2025
uppercase Σ, lowercase σ, lowercase in word-final position ς; is the eighteenth letter of the Greek alphabet. Also used in mathematics(its so over)
You thought that im gonna explain sigma is some brainrot alpha gen ass?
me: hey what is your favourite letter?
someone: my fav is Sigma
me: SIGMA MENTIONED? aldrenaline+nodrenaline+balkan rage+jamaican smile+still water+brazillian funk+alpha wolf only sigma know☠️
Sigma by Those who asked January 11, 2025
A sigma is someone who is cool, and plays by their own rules. Sigmas are desirable people who ignore social standards and conventions, and they are cool without trying. They are humble rebels but they are very successful and popular.
Person 1: Look at all of the sigmas!

Person 2: I wish I was a sigma.
Sigma by hitormiss24 January 14, 2025