Yes, your wudu is broken if you fart, even if it's silent and odorless, if you are certain that you passed wind.
Here's a breakdown:
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Sound or Smell: If passing wind produces a sound or a smell, your wudu is definitely broken. You must repeat your ablution (wudu) before performing prayer (salah).
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No Sound or Smell, but Certainty: Even if there is no sound or smell, but you are certain that you passed wind, your wudu is broken. You must repeat the ablution. The key here is certainty.
In summary, the breaking of wudu due to passing wind depends on the certainty of the event, regardless of the presence of sound or smell.
