### Abstract

In this paper, we discuss the systematics of quarkonium production at the LHC. In particular, we focus on the necessity to sum logs of the form log(Q/p _{≥}) and log(p _{≥}/m _{Q}). We show that the former contributions are power suppressed, while the latter, whose contribution in fragmentation is well known, also arise in the short distance (i.e., nonfragmentation) production mechanisms. Though these contributions are suppressed by powers of m _{Q}/p _{≥}, they can be enhanced by inverse powers of v, the relative velocity between heavy quarks in the quarkonium. In the limit p _{≥}m _{Q}, short-distance production can be thought of as the fragmentation of a pair of partons (i.e., the heavy quark and antiquark) into the final state quarkonium. We derive an all-order factorization theorem for this process in terms of double parton fragmentation functions and calculate the one-loop anomalous dimension matrix for the double parton fragmentation functions.

Original language | English (US) |
---|---|

Article number | 094012 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 86 |

Issue number | 9 |

DOIs | |

State | Published - Nov 6 2012 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*86*(9), [094012]. https://doi.org/10.1103/PhysRevD.86.094012

**Systematics of quarkonium production at the LHC and double parton fragmentation.** / Fleming, Sean P; Leibovich, Adam K.; Mehen, Thomas; Rothstein, Ira Z.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 86, no. 9, 094012. https://doi.org/10.1103/PhysRevD.86.094012

}

TY - JOUR

T1 - Systematics of quarkonium production at the LHC and double parton fragmentation

AU - Fleming, Sean P

AU - Leibovich, Adam K.

AU - Mehen, Thomas

AU - Rothstein, Ira Z.

PY - 2012/11/6

Y1 - 2012/11/6

N2 - In this paper, we discuss the systematics of quarkonium production at the LHC. In particular, we focus on the necessity to sum logs of the form log(Q/p ≥) and log(p ≥/m Q). We show that the former contributions are power suppressed, while the latter, whose contribution in fragmentation is well known, also arise in the short distance (i.e., nonfragmentation) production mechanisms. Though these contributions are suppressed by powers of m Q/p ≥, they can be enhanced by inverse powers of v, the relative velocity between heavy quarks in the quarkonium. In the limit p ≥m Q, short-distance production can be thought of as the fragmentation of a pair of partons (i.e., the heavy quark and antiquark) into the final state quarkonium. We derive an all-order factorization theorem for this process in terms of double parton fragmentation functions and calculate the one-loop anomalous dimension matrix for the double parton fragmentation functions.

AB - In this paper, we discuss the systematics of quarkonium production at the LHC. In particular, we focus on the necessity to sum logs of the form log(Q/p ≥) and log(p ≥/m Q). We show that the former contributions are power suppressed, while the latter, whose contribution in fragmentation is well known, also arise in the short distance (i.e., nonfragmentation) production mechanisms. Though these contributions are suppressed by powers of m Q/p ≥, they can be enhanced by inverse powers of v, the relative velocity between heavy quarks in the quarkonium. In the limit p ≥m Q, short-distance production can be thought of as the fragmentation of a pair of partons (i.e., the heavy quark and antiquark) into the final state quarkonium. We derive an all-order factorization theorem for this process in terms of double parton fragmentation functions and calculate the one-loop anomalous dimension matrix for the double parton fragmentation functions.

UR - http://www.scopus.com/inward/record.url?scp=84869012637&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84869012637&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.86.094012

DO - 10.1103/PhysRevD.86.094012

M3 - Article

AN - SCOPUS:84869012637

VL - 86

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 9

M1 - 094012

ER -