1639 K 44 pp. | ||

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Title | Scaling Deviations for Neutrino Reactions in Aysmptotically Free Field Theories | |

Author(s) | Wilczek, F. A.; Zee, A.; Treiman, S. B. | |

Publication Date | November 01, 1974 | |

Report Number | COO--3072-32 | |

Unique Identifier | ACC0084 | |

Other Numbers | OSTI ID: 4256152 | |

Research Org | Joseph Henry Laboratories, Princeton University, Princeton, New Jersey | |

Contract No | AT(11-1)-3072 | |

Sponsoring Org | U.S. Atomic Energy Commission (AEC) | |

Subject | N64230 --Physics (High Energy)--Particle Interactions & Properties (Theoretical)--Weak | |

Keywords | Neutrino Reactions-- Inelastic Scattering; Scale Invariance-- Neutrino Reactions; Boundary Conditions; Differential Cross Sections; Distribution; Field Theories; Structure Functions; Total Cross Sections | |

Related Web Pages | Frank Wilczek, Asymptotic Freedom, and Strong Interaction | |

Abstract | 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. | |

1639 K 44 pp. | ||

View Document | ||