Heavy-flavor parton distributions without heavy-flavor matching prescriptions

We show that the well-known obstacle for working with the zero-mass variable flavor number scheme, namely, the omission of 0(1) mass power corrections close to the conventional heavy flavor matching point (HFMP) mu(b) = m, can be easily overcome. For this it is sufficient to take advantage of the freedom in choosing the position of the HFMP. We demonstrate that by choosing a sufficiently large HFMP, which could be as large as 10 times the mass of the heavy quark, one can achieve the following improvements: 1) above the HFMP the size of missing power corrections 0(m) is restricted by the value of mu(b) and, therefore, the error associated with their omission can be made negligible; 2) additional prescriptions for the definition of cross-sections are not required; 3) the resummation accuracy is maintained and 4) contrary to the common lore we find that the discontinuity of as and pdfs across thresholds leads to improved continuity in predictions for observables. We have considered a large set of proton-proton and electron-proton collider processes, many through NNLO QCD, that demonstrate the broad applicability of our proposal.