We provide a quantum field theory based description of the nonperturbative effects from hadronization for soft drop groomed jet mass distributions using the soft-collinear effective theory and the coherent branching formalism. There are two distinct regions of jet mass m J where grooming modifies hadronization effects. In a region with intermediate m J an operator expansion can be used, and the leading power corrections are given by three universal nonperturbative parameters that are independent of all kinematic variables and grooming parameters, and only depend on whether the parton initiating the jet is a quark or gluon. The leading power corrections in this region cannot be described by a standard normalized shape function. These power corrections depend on the kinematics of the subjet that stops soft drop through short distance coefficients, which encode a perturbatively calculable dependence on the jet transverse momentum, jet rapidity, and on the soft drop grooming parameters z cut and β. Determining this dependence requires a resummation of large logarithms, which we carry out at LL order. For smaller m J there is a nonperturbative region described by a one-dimensional shape function that is unusual because it is not normalized to unity, and has a non-trivial dependence on β. A Measurement Operator for the Boundary Term 62 B Collinear-Soft Function with a Probe Nonperturbative Gluon 64 B.1 Analysis with One Perturbative Gluon 64 B.2 Analysis with Two Perturbative Emissions 67 -1 -soft drop operator expansion (SDOE) region: QΛ QCD m 2 J m 2 J QQ cut 1 2+β Figure 2. Pythia prediction for m 2 J /E 2 J distribution indicating three different regions of the spectrum. Here we take R ee 0 = π 2 and the inequality " " in the "p + cs p + Λ " constraint for the SDOE region is replaced by a factor of 5.In Fig. 2 we show a Pythia8 Monte Carlo prediction for this groomed jet mass spectrum with z cut = 0.1 and β = 2. We distinguish three relevant regions of the spectrum: the soft drop nonperturbative region (SDNP) to the far left (left of the magenta dashed line), the soft drop operator expansion region (SDOE) in the middle (between the dashed lines), and the ungroomed resummation region on the far right where soft drop turns off but the log resummation for the ungroomed case is still active (right of the green dashed line). The distinction between the SDNP and SDOE regions is determined by Eq. (1.1), while the distinction between the SDOE and ungroomed resummation region is given by soft drop operator expansion (SDOE):ungroomed resummation region:For the hemisphere case in e + e − one has R = π/2. For R = 1, in the e + e − case this boundary roughly corresponds to m 2 J /E 2 J = z cut which we use in Fig. 2. In all three of these regions the resummation of large logarithms is important, though the precise nature of this resummation is different. There is an additional transition between resummation and fixed-order regions which occurs on the very far right of Fig. 2, near where dσ/dm J goes to zero (not indicated in th...