### Abstract

We investigate the origin of the double logarithms of Q
^{2}/m
_{c}
^{2} that appear in the calculation of the cross section for e
^{+}e
^{-} → J/π +η
_{c} at next-to-leading order in the strong coupling α
_{s}. Here, Q
^{2} is the square of the center-of-momentum energy, and mc is the charm-quark mass. We find that, diagram-by-diagram, the double logarithms are accounted for by Sudakov double logarithms and endpoint double logarithms. The Sudakov double logarithms cancel in the sum over all diagrams, but the endpoint double logarithms do not. We reinterpret the endpoint double logarithms in terms of a leading region of loop integration in which a spectator fermion line becomes soft and collinear. This reinterpretation may simplify the process of establishing an all-orders factorization theorem for this helicity-flip process, which, in turn, might allow one to resum logarithms of Q
^{2}/m
_{c}
^{2} to all orders in α
_{s}. Copyright owned by the author(s).

Original language | English |
---|---|

Title of host publication | Proceedings of Science |

Publication status | Published - 2012 |

Event | 10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012 - Munich, Germany Duration: 2012 Oct 8 → 2012 Oct 12 |

### Other

Other | 10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012 |
---|---|

Country | Germany |

City | Munich |

Period | 12/10/8 → 12/10/12 |

### Fingerprint

### ASJC Scopus subject areas

- General

### Cite this

^{+}e

^{-}→ J/π +η

_{c}In

*Proceedings of Science*

**Endpoint logarithms in e
^{+}e
^{-}→ J/π +η
_{c}
.** / Bodwin, Geoffrey T.; Chung, Hee Sok; Lee, Jungil.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

^{+}e

^{-}→ J/π +η

_{c}in

*Proceedings of Science.*10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012, Munich, Germany, 12/10/8.

^{+}e

^{-}→ J/π +η

_{c}In Proceedings of Science. 2012

}

TY - GEN

T1 - Endpoint logarithms in e +e -→ J/π +η c

AU - Bodwin, Geoffrey T.

AU - Chung, Hee Sok

AU - Lee, Jungil

PY - 2012

Y1 - 2012

N2 - We investigate the origin of the double logarithms of Q 2/m c 2 that appear in the calculation of the cross section for e +e - → J/π +η c at next-to-leading order in the strong coupling α s. Here, Q 2 is the square of the center-of-momentum energy, and mc is the charm-quark mass. We find that, diagram-by-diagram, the double logarithms are accounted for by Sudakov double logarithms and endpoint double logarithms. The Sudakov double logarithms cancel in the sum over all diagrams, but the endpoint double logarithms do not. We reinterpret the endpoint double logarithms in terms of a leading region of loop integration in which a spectator fermion line becomes soft and collinear. This reinterpretation may simplify the process of establishing an all-orders factorization theorem for this helicity-flip process, which, in turn, might allow one to resum logarithms of Q 2/m c 2 to all orders in α s. Copyright owned by the author(s).

AB - We investigate the origin of the double logarithms of Q 2/m c 2 that appear in the calculation of the cross section for e +e - → J/π +η c at next-to-leading order in the strong coupling α s. Here, Q 2 is the square of the center-of-momentum energy, and mc is the charm-quark mass. We find that, diagram-by-diagram, the double logarithms are accounted for by Sudakov double logarithms and endpoint double logarithms. The Sudakov double logarithms cancel in the sum over all diagrams, but the endpoint double logarithms do not. We reinterpret the endpoint double logarithms in terms of a leading region of loop integration in which a spectator fermion line becomes soft and collinear. This reinterpretation may simplify the process of establishing an all-orders factorization theorem for this helicity-flip process, which, in turn, might allow one to resum logarithms of Q 2/m c 2 to all orders in α s. Copyright owned by the author(s).

UR - http://www.scopus.com/inward/record.url?scp=84887524579&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887524579&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887524579

BT - Proceedings of Science

ER -