Short-distance RG-analysis of X(3872) radiative decays
Abstract
We present a renormalization-group analysis of the
X(3872)
radiative decays into
J/ψγ
and
ψ(2S)γ
. We assume a
D
D
¯
∗
molecule for the
X
long-distance structure and parametrize its short-distance physics as contact interactions. Using effective field theory techniques and power-divergence subtraction scheme, we find that short- and long-distance physics are equally important in these decays. Our calculations set a lower limit to the corresponding decay widths, which can in principle be tested experimentally. Our results may be used as guide to build models for the
X
short-distance.