Bauer Christian W, Manohar Aneesh V, Wise Mark B
Department of Physics, University of California at San Diego, La Jolla, California 92093, USA.
Phys Rev Lett. 2003 Sep 19;91(12):122001. doi: 10.1103/PhysRevLett.91.122001. Epub 2003 Sep 15.
We consider the triple differential distribution d Gamma/dE(J)dm(2)(J)d Omega(J) for two-jet events at center of mass energy M, smeared over the end-point region m(2)(J)<<M2, absolute value 2E(J)-M approximately Delta, Lambda(QCD)<<Delta<<M. The leading nonperturbative correction, suppressed by Lambda(QCD)/Delta, is given by the matrix element of a single operator. A similar analysis is performed for three-jet events, and the generalization to any number of jets is discussed. At order Lambda(QCD)/Delta, nonperturbative effects in four or more jet events are completely determined in terms of two matrix elements which can be measured in two- and three-jet events.
我们考虑在质心能量为(M)时两喷注事件的三重微分分布(d\Gamma/dE(J)dm^2(J)d\Omega(J)),该分布在端点区域(m^2(J)<<M^2),(|2E(J)-M|\approx\Delta),(\Lambda_{(QCD)}<<\Delta<<M)上进行了涂抹。由(\Lambda_{(QCD)}/\Delta)抑制的主导非微扰修正由单个算符的矩阵元给出。对三喷注事件进行了类似分析,并讨论了向任意数量喷注的推广。在(\Lambda_{(QCD)}/\Delta)阶,四喷注或更多喷注事件中的非微扰效应完全由两个矩阵元确定,这两个矩阵元可在两喷注和三喷注事件中测量。