four-Fermi interaction, while the hadronic currents can be of either $L$- or $R$-type. Note also that, while the $\epsilon_{\alpha}^{\beta}$ are defined as dimensionless coefficients, they scale like $\epsilon_{\alpha}^{\beta} \propto
(\lambda^{\mathrm{eff}}_{\rm LNV}/\Lambda)^2$.

    Isotope     $|\epsilon^{V+A}_{V-A}|$   $|\epsilon^{V+A}_{V+A}|$   $|\epsilon^{S+P}_{S-P}|$   $|\epsilon^{S+P}_{S+P}|$   $|\epsilon^{TR}_{TL}|$   $|\epsilon^{TR}_{TR}|$
  ------------ -------------------------- -------------------------- -------------------------- -------------------------- ------------------------ ------------------------
   $^{136}$Xe     $2.8 \cdot 10^{-9}$        $5.6 \cdot 10^{-7}$        $6.8 \cdot 10^{-9}$        $6.8 \cdot 10^{-9}$       $4.8 \cdot 10^{-10}$     $8.1\cdot 10^{-10}$

  : *Limits on effective long-range interactions from $T^{\text{{$0\nu\beta\beta$ }}}_{1/2}({}^{136}\text{Xe}) \gsim 1.6 \cdot 10^{25}$ ys [@Auger:2012ar] which corresponds to approximately $\langle m_{\nu} \rangle \lsim 0.35 $ eV in the mass mechanism. These limits are taken from [@Deppisch:2012nb] and are derived assuming only one $\epsilon$ is different from zero at a time.*[]{data-label="Tab:LimitsLong"}

Short-range contributions
-------------------------

The short-range contributions encompass all processes where no light neutrinos are exchanged, and can be understood as one $d=9$ effective vertex diagram as shown in diagram (d) in Fig. \[Fig:LongShort\]. In this case, one can use the basis of low energy hadronic currents $J$ as defined in Eq. (\[eq:CurrLR\]), while for the currents $j$ of two electrons, one defines $$\begin{aligned}
\label{eq:CurrSR}
j_{L/R} &\equiv&\overline{e}(1 \mp \gamma_5)e^c\,,\\ \nonumber
(j_{L/R})^{\mu} &\equiv&\overline{e}\gamma^{\mu}(1 \mp \gamma_5)e^c , \end{aligned}$$ to express the effective Lagrangian for short-range [$0\nu\beta\beta$ ]{} as [@Pas:2000vn] $$\begin{aligned}
