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
Systematics of quarkonium production at the LHC and double parton fragmentation. / Fleming, Sean P; Leibovich, Adam K.; Mehen, Thomas; Rothstein, Ira Z.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 86, No. 9, 094012, 06.11.2012.Research output: Contribution to journal › Article
}
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 -