TY - JOUR

T1 - Fragmentation to a jet in the large z limit

AU - Dai, Lin

AU - Kim, Chul

AU - Leibovich, Adam K.

N1 - Funding Information:
C. K. was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (Grant No. NRF-2014R1A2A1A11052687). A. K. L. and L. D. were supported in part by National Science Foundation (NSF) Grant No. PHY-1519175.
Publisher Copyright:
© 2017 American Physical Society.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - We consider the fragmentation of a parton into a jet with small radius R in the large z limit, where z is the ratio of the jet energy to the mother parton energy. In this region of phase space, large logarithms of both R and 1-z can appear, requiring resummation in order to have a well-defined perturbative expansion. Using the soft-collinear effective theory, we study the fragmentation function to a jet in this end-point region. We derive a factorization theorem for this object, separating collinear and collinear-soft modes. This allows for the resummation using renormalization group evolution of the logarithms lnR and ln(1-z) simultaneously. We show results valid to next-to-leading logarithmic order for the global Sudakov logarithms. We also discuss the possibility of nonglobal logarithms that should appear at two loops and give an estimate of their size.

AB - We consider the fragmentation of a parton into a jet with small radius R in the large z limit, where z is the ratio of the jet energy to the mother parton energy. In this region of phase space, large logarithms of both R and 1-z can appear, requiring resummation in order to have a well-defined perturbative expansion. Using the soft-collinear effective theory, we study the fragmentation function to a jet in this end-point region. We derive a factorization theorem for this object, separating collinear and collinear-soft modes. This allows for the resummation using renormalization group evolution of the logarithms lnR and ln(1-z) simultaneously. We show results valid to next-to-leading logarithmic order for the global Sudakov logarithms. We also discuss the possibility of nonglobal logarithms that should appear at two loops and give an estimate of their size.

UR - http://www.scopus.com/inward/record.url?scp=85019576641&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.95.074003

DO - 10.1103/PhysRevD.95.074003

M3 - Article

AN - SCOPUS:85019576641

VL - 95

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

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

SN - 1550-7998

IS - 7

M1 - 074003

ER -