Abstract
Two-nucleon axial charge and current operators are derived in chiral effective field theory up to one loop. The derivation is based on time-ordered perturbation theory and accounts for cancellations between the contributions of irreducible diagrams and the contributions owing to nonstatic corrections from energy denominators of reducible diagrams. Ultraviolet divergencies associated with the loop corrections are isolated in dimensional regularization. The resulting axial current is finite and conserved in the chiral limit, while the axial charge requires renormalization. A complete set of contact terms for the axial charge up to the relevant order in the power counting is constructed.
| Original language | English |
|---|---|
| Article number | 015501 |
| Journal | Physical Review C |
| Volume | 93 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 11 2016 |
| Externally published | Yes |
Funding
We would like to thank J. Goity for a number of interesting discussions during the course of this work and for a critical reading of the manuscript. A conversation with S. Scherer and M. R. Schindler is also gratefully acknowledged. This research is supported by the U.S. Department of Energy, Office of Nuclear Physics, under Contracts No. DE-AC05-06OR23177 (A.B. and R.S.) and No. DE-AC52-06NA25396 (S.P.), and by the National Science Foundation, under Grant No. PHY-1068305 (S.P.). A.B. was supported by a Jefferson Science Associates Theory Fellowship.
| Funders | Funder number |
|---|---|
| National Science Foundation | PHY-1068305 |
| U.S. Department of Energy | |
| Directorate for Mathematical and Physical Sciences | 1068305 |
| Nuclear Physics | DE-AC52-06NA25396, DE-AC05-06OR23177 |