TY - JOUR

T1 - Scaling laws for large-momentum-transfer processes

AU - Brodsky, Stanley J.

AU - Farrar, Glennys R.

N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 1975

Y1 - 1975

N2 - Dimensional scaling laws are developed as an approach to understanding the energy dependence of high-energy scattering processes at fixed center-of-mass angle. Given a reasonable assumption on the short-distance behavior of bound states, and the absence of an internal mass scale, we show that at large s and t, dσdt(A B→C D)∼s-n+2f(ts); n is the total number of fields in A, B, C, and D which carry a finite fraction of the momentum. A similar scaling law is obtained for large-pinclusive scattering. When the quark model is used to specify n, we find good agreement with experiments. For instance, this accounts naturally for the (q2)-2 asymptotic behavior of the proton form factor. We examine in detail the field-theoretic foundations of the scaling laws and the assumption which needs to be made about the short-distance and infrared behavior of a bound state.

AB - Dimensional scaling laws are developed as an approach to understanding the energy dependence of high-energy scattering processes at fixed center-of-mass angle. Given a reasonable assumption on the short-distance behavior of bound states, and the absence of an internal mass scale, we show that at large s and t, dσdt(A B→C D)∼s-n+2f(ts); n is the total number of fields in A, B, C, and D which carry a finite fraction of the momentum. A similar scaling law is obtained for large-pinclusive scattering. When the quark model is used to specify n, we find good agreement with experiments. For instance, this accounts naturally for the (q2)-2 asymptotic behavior of the proton form factor. We examine in detail the field-theoretic foundations of the scaling laws and the assumption which needs to be made about the short-distance and infrared behavior of a bound state.

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U2 - 10.1103/PhysRevD.11.1309

DO - 10.1103/PhysRevD.11.1309

M3 - Article

AN - SCOPUS:34548221783

VL - 11

SP - 1309

EP - 1330

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 5

ER -