We predict cross sections in deep inelastic scattering (DIS) for the production of two jets---one along the proton beam direction created by initial state radiation (ISR) and another created by final state radiation after the hard collision. Our results include fixed order corrections and a summation of large logarithms up to next-to-next-to-leading logarithmic (NNLL) accuracy in resummed perturbation theory. We make predictions for three versions of a DIS event shape 1-jettiness, each of which constrains hadronic final states to be well collimated into two jets along the beam and final-state jet directions, but which differ in their sensitivity to the transverse momentum of the ISR from the proton beam. We use the tools of soft collinear effective theory (SCET) to derive factorization theorems for these three versions of 1-jettiness. The sensitivity to the ISR gives rise to significantly different structures in the corresponding factorization theorems---for example, dependence on either the ordinary or the generalized kperp-dependent beam function. Despite the differences among 1-jettiness definitions, we show that the leading nonperturbative correction that shifts the tail region of their distributions is given by a single universal nonperturbative parameter Omega1, even accounting for hadron mass effects. Finally, we give numerical results for Q^2 and x values explored at the HERA collider, emphasizing that the target of our factorization-based analyses is to open the door for higher-precision jet phenomenology in DIS.
Hadronization effects and electroweak contributions in DIS one-jettiness
Northwestern University（西北大学）；Center for Frontiers in Nuclear Science, Stony Brook University（石溪大学前沿核科学中心）；Department of Physics and Astronomy, University of California, Los Angeles（加州大学洛杉矶分校物理与天文学系）；Mani L. Bhaumik Institute for Theoretical Physics, University of California, Los Angeles（加州大学洛杉矶分校马尼·L·巴乌米克理论物理研究所）；School of Physics and Astronomy, Beijing Normal University（北京师范大学物理与天文学院）；Key Laboratory of Multiscale Spin Physics (Beijing Normal University), Ministry of Education（教育部多尺度自旋物理重点实验室（北京师范大学））；Southern Center for Nuclear Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Science（中国科学院现代物理研究所南方核科学理论中心（SCNT））；Department of Physics and Astronomy, University of North Georgia（北乔治亚大学物理与天文学系）
Centauric 1-Jettiness in DIS and Universal Power Corrections
Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室）；New Mexico State University（新墨西哥州立大学）；Massachusetts Institute of Technology（麻省理工学院）；INFN Sezione di Pavia（意大利国家核物理研究所帕维亚分部）；Argonne National Laboratory（阿贡国家实验室）
