# Renormalon ambiguities in NRQCD operator matrix elements

## Abstract

We analyze the renormalon ambiguities that appear in factorization formulas in QCD. Our analysis contains a simple argument that the ambiguities in the short-distance coefficients and operator matrix elements are artifacts of dimensional-regularization factorization schemes and are absent in cutoff schemes. We also present a method for computing the renormalon ambiguities in operator matrix elements and apply it to a computation of the ambiguities in the matrix elements that appear in the NRQCD factorization formulas for the annihilation decays of {ital S}-wave quarkonia. Our results, combined with those of Braaten and Chen for the short-distance coefficients, provide an explicit demonstration that the ambiguities cancel in the physical decay rates. In addition, we analyze the renormalon ambiguities in the Gremm-Kapustin relation and in various definitions of the heavy-quark mass. {copyright} {ital 1999} {ital The American Physical Society}

- Authors:

- High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
- Physics Department, Ohio State University, Columbus, Ohio 43210 (United States)

- Publication Date:

- OSTI Identifier:
- 362723

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D

- Additional Journal Information:
- Journal Volume: 60; Journal Issue: 5; Other Information: PBD: Sep 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; MATHEMATICAL OPERATORS; QUANTUM CHROMODYNAMICS; MATRIX ELEMENTS; RENORMALIZATION; QUARKS; FACTORIZATION; QUANTUM OPERATORS

### Citation Formats

```
Bodwin, G.T., and Chen, Y.
```*Renormalon ambiguities in NRQCD operator matrix elements*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevD.60.054008.

```
Bodwin, G.T., & Chen, Y.
```*Renormalon ambiguities in NRQCD operator matrix elements*. United States. doi:10.1103/PhysRevD.60.054008.

```
Bodwin, G.T., and Chen, Y. Wed .
"Renormalon ambiguities in NRQCD operator matrix elements". United States. doi:10.1103/PhysRevD.60.054008.
```

```
@article{osti_362723,
```

title = {Renormalon ambiguities in NRQCD operator matrix elements},

author = {Bodwin, G.T. and Chen, Y.},

abstractNote = {We analyze the renormalon ambiguities that appear in factorization formulas in QCD. Our analysis contains a simple argument that the ambiguities in the short-distance coefficients and operator matrix elements are artifacts of dimensional-regularization factorization schemes and are absent in cutoff schemes. We also present a method for computing the renormalon ambiguities in operator matrix elements and apply it to a computation of the ambiguities in the matrix elements that appear in the NRQCD factorization formulas for the annihilation decays of {ital S}-wave quarkonia. Our results, combined with those of Braaten and Chen for the short-distance coefficients, provide an explicit demonstration that the ambiguities cancel in the physical decay rates. In addition, we analyze the renormalon ambiguities in the Gremm-Kapustin relation and in various definitions of the heavy-quark mass. {copyright} {ital 1999} {ital The American Physical Society}},

doi = {10.1103/PhysRevD.60.054008},

journal = {Physical Review, D},

number = 5,

volume = 60,

place = {United States},

year = {1999},

month = {9}

}