Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evaluation of neutrinoless double beta decay: QCD running to sub-GeV
  scales   We evaluate QCD effects in the neutrinoless double beta ($0\nu\beta\beta$)
decay, originating from 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 (RGEs) for the corresponding Wilson
coefficients, performing the RGE-evolution from the new physics scales
(estimated as $\Lambda ~ \sim 10^2$ GeV) to the typical spacelike
$0\nu\beta\beta$-scale $Q \sim 0.1$ GeV. Since the latter scale is clearly
nonperturbative, we apply various infrared-safe (IR-safe) variants of QCD where
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.

17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas