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We report a leading-order (LO) calculation of$^7\mathrm{Be}(p,\gamma)^8\mathrm{B}$ in a low-energy effective field theory.$^8\mathrm{B}$ is treated as a shallow proton$+^7\mathrm{Be}$ core andproton$+^7\mathrm{Be}^{*}$ (core excitation) $p$-wave bound state. Thecouplings are fixed using measured binding energies and proton-$^7\mathrm{Be}$$s$-wave scattering lengths, together with $^8\mathrm{B}$ asymptoticnormalization coefficients from ab initio calculations. We obtain a zero-energy$S$-factor of $18.2 \pm 1.2~({\rm ANC~only})$ eV b. Given that this is a LOresult it is consistent with the recommended value $S(0)=20.8\pm1.6$ eV b. Ourcomputed $S(E)$ compares favorably with experimental data on$^7\mathrm{Be}(p,\gamma)^8\mathrm{B}$ for $E <0.4$ MeV. We emphasize theimportant role of proton-$^7\mathrm{Be}$ scattering parameters in determiningthe energy dependence of $S(E)$, and demonstrate that their presentuncertainties significantly limit attempts to extrapolate these data to stellarenergies.

Marrying ab initio calculations and Halo EFT: the case of ${}^7{\rm Be} + p \rightarrow {}^8{\rm B} + \gamma$