The mass of a proton at 7 TeV is about 7,460 times the mass of the proton at rest. My guess is that the mass of particles being brought up to speed is on the order of grams per day, maybe pounds. I don't know how much "rest mass" is involved in each collision, but this "supermassive" event is probably like banging a pair of 1 pound weights together, at most. Hardly enough to affect the earth's rotation.
LHC machine outreach FAQ has the "energy to mass" calculation.
At 7 Tev, mass of 1 proton = Energy/c^2 = 1.2477^-23 Kg
The article notes 20 billion protons, which is unfortunately ambiguous, because a billion US is a thousand million, or 10^9, and in the UK is a million million, or 10^12. Erring on the "heavy" side, use the UK version of billion, each packet has 20*10^12 protons. The number of protons, times the mass of each proton, gives a packet with a mass of about 25*10^-11 Kg, or 25*10^-8 gram.
That's a quarter of a microgram, a quarter of a millionth of a gram, AT SPEED. Rest mass is 1/7,460th of that.
Nevermind that no way do all of the protons collide, only a minute fraction of the 20 billion are involved in collisions, most fly by in near-hit incidents. And too, perhaps the "billion" in the article means 10^9, which results in reducing the mass of the collision by a factor of 1,000.
Even at speed, the mass of material involved in collisions is minute. 0.000 000 250 grams
Much appreciated.
What I’m understanding from all that is that
the Einstein thing about mass approaching the speed of light is wrong and does NOT likewise approach infinite mass.