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Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
Journal
Physical Review D
Date Issued
2020-05-01
Author(s)
Abstract
We evaluate QCD effects in the neutrinoless double beta (0νββ) decay, originating from a new physics
short-range mechanism in the form of five dimension-9 operators. For this, we employ the one-loop and
two-loop renormalization group equations for the corresponding Wilson coefficients, performing the RGE
evolution from the new physics scales (estimated as Λ ∼ 102 GeV) to the typical spacelike 0νββ scale
Q ∼ 0.1 GeV. Since the latter scale is clearly nonperturbative, we apply various IR-safe variants of QCD in
which the running coupling has no Landau singularities at low spacelike Q. We point out that the correct
treatment of the IR-safe analogs of the (noninteger) powers of the couplings is important. It turns out that in
most cases of the considered operators the resulting QCD effects can be significant in this process, i.e., can
be stronger than the effects of the present uncertainties in the nuclear matrix elements.
short-range mechanism in the form of five dimension-9 operators. For this, we employ the one-loop and
two-loop renormalization group equations for the corresponding Wilson coefficients, performing the RGE
evolution from the new physics scales (estimated as Λ ∼ 102 GeV) to the typical spacelike 0νββ scale
Q ∼ 0.1 GeV. Since the latter scale is clearly nonperturbative, we apply various IR-safe variants of QCD in
which the running coupling has no Landau singularities at low spacelike Q. We point out that the correct
treatment of the IR-safe analogs of the (noninteger) powers of the couplings is important. It turns out that in
most cases of the considered operators the resulting QCD effects can be significant in this process, i.e., can
be stronger than the effects of the present uncertainties in the nuclear matrix elements.
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