Split families unified

Grants

Funding Acknowledgements

We thank John March-Russell for collaboration at early stages of this work. We also thank Nima Arkani-Hamed, Asimina Arvanitaki, Willy Fischler, Gian Giudice, Daniel Green, Andrey Katz, Patrick Meade, Alex Pomarol, Giovanni Villadoro, and Carlos Wagner for useful discussions. This work was supported in part by ERC grant BSMOXFORD no. 228169. NC is supported in part by the NSF under grant PHY-0907744 and gratefully acknowledges support from the Institute for Advanced Study as well as hospitality from the Stanford Institute for Theoretical Physics, the Theory Division at CERN, and the Weinberg Theory Group at the University of Texas, Austin. TG is supported in part by the Australian Research Council and gratefully acknowledges hospitality from the Stanford Institute for Theoretical Physics and the Theory Division at CERN.