Publications
Publication Information
| Title | Equivalence of Soft and Zero-Bin Subtractions |
| Authors | ahmad idilbi, Thomas Mehen |
| JLAB number | JLAB-THY-07-676 |
| LANL number | arXiv:0707.1101 |
| Other number | DOE/OR/23177-0084 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
|
Journal Compiled for Physical Review D Volume 76 Page(s) 094015 Refereed | |
| Publication Abstract: | Calculations of collinear correlation functions in perturbative QCD and Soft-Collinear Effective Theory (SCET) require a prescription for subtracting soft or zero-bin contributions in order to avoid double counting the contributions from soft modes. At leading order in $\lambda$, where $\lambda$ is the SCET expansion parameter, the zero-bin subtractions have been argued to be equivalent to convolution with soft Wilson lines. We give a proof of the factorization of naive collinear Wilson lines that is crucial for the derivation of the equivalence. We then check the equivalence by computing the non-Abelian two-loop mixed collinear-soft contribution to the jet function in the quark form factor. These results provide strong support for the equivalence, which can be used to give a nonperturbative definition of the zero-bin subtraction at lowest order in $\lambda$. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
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| DOI: | |
| Accepted Manuscript: | |
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