  We study a higher group analog of the Weyl symmetry in four-dimensional
quantum field theories. A typical example is that the modified transformation
of the 2-form background gauge field replaces the operator-valued Weyl anomaly
associated with gauging the 0-form global symmetry. It is analogous to the
2-group global symmetry where the modified transformation of the 2-form
background gauge field replaces the operator-valued chiral anomaly associated
with gauging the 0-form symmetry. The physical origin of the higher group Weyl
symmetry is that under the renormalization group flow, the conserved current
mixes with the electromagnetic current that couples with the dynamical gauge
field. We can express these effects in the local renormalization group
equations in a unified manner.
