Abstract

The thermal plasma filling the early universe generated a stochasticgravitational wave background that peaks in the microwave frequencyrange today. If the graviton production rate is expressed as a series in afine-structure constant, α, and the temperature over the Planck mass, T 2/m pl 2, then the lowest-order contributions come from single(∼αT 2/m pl 2) and double (∼T 4/m pl 4)graviton production via 2 → 2 scatterings.We show that in the Standard Model,single-graviton production dominates if the maximaltemperature is smaller than4 × 1018 GeV. This justifies previous calculationswhich relied solely on single-graviton production.We mention Beyond the Standard Model scenarios in which the single anddouble-graviton contributions could be of comparable magnitudes.Finally, we elaborate on what these results imply for the range ofapplicability of General Relativity as an effective theory.

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