TY - JOUR

T1 - Scaling deviations for neutrino reactions in asymptotically free field theories

AU - Zee, A.

AU - Wilczek, F.

AU - Treiman, S. B.

PY - 1974

Y1 - 1974

N2 - Several aspects of deep-inelastic neutrino scattering are discussed in the framework of asymptotically free field theories. We first consider the growth behavior of the total cross sections at large energies. Because of the deviations from strict scaling which are characteristic of such theories, the growth need not be linear. However, upper and lower bounds are established which rather closely bracket a linear growth. We next consider in more detail the expected pattern of scaling deviation for the structure functions and, correspondingly, for the differential cross sections. The analysis here is based on certain speculative assumptions. The focus is on qualitative effects of scaling breakdown as they may show up in the x and y distributions. The last section of the paper deals with deviations from the Callan-Gross relation.

AB - Several aspects of deep-inelastic neutrino scattering are discussed in the framework of asymptotically free field theories. We first consider the growth behavior of the total cross sections at large energies. Because of the deviations from strict scaling which are characteristic of such theories, the growth need not be linear. However, upper and lower bounds are established which rather closely bracket a linear growth. We next consider in more detail the expected pattern of scaling deviation for the structure functions and, correspondingly, for the differential cross sections. The analysis here is based on certain speculative assumptions. The focus is on qualitative effects of scaling breakdown as they may show up in the x and y distributions. The last section of the paper deals with deviations from the Callan-Gross relation.

UR - http://www.scopus.com/inward/record.url?scp=0001497374&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001497374&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.10.2881

DO - 10.1103/PhysRevD.10.2881

M3 - Article

AN - SCOPUS:0001497374

VL - 10

SP - 2881

EP - 2891

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 9

ER -