A quark mass definition adequate for threshold problems

被引:269
作者
Beneke, M [1 ]
机构
[1] CERN, Div Theory, CH-1211 Geneva 23, Switzerland
关键词
D O I
10.1016/S0370-2693(98)00741-2
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Recent calculations of heavy quark cross sections near threshold at next-to-next-to-leading order have found second-order corrections as large as first-order ones. We analyse long-distance contributions to the heavy quark potential in momentum and coordinate space and demonstrate that long-distance contributions in momentum space are suppressed as Lambda(QCD)(2)/q(2). We then show that the long-distance sensitivity of order Lambda(QCD)r introduced by the Fourier transform to coordinate space cancels to all orders in perturbation theory with long-distance contributions to the heavy quark pole mass. This leads us to define a subtraction scheme - the 'potential subtraction scheme' - in which large corrections to the heavy quark potential and the potential-subtracted' quark mass are absent. We compute the two-loop relation of the potential-subtracted quark mass to the MS quark mass. We anticipate that threshold calculations expressed in terms of the scheme introduced here exhibit improved convergence properties. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:115 / 125
页数:11
相关论文
共 22 条
[1]   RENORMALONS AND THE QUARK POTENTIAL [J].
AGLIETTI, U ;
LIGETI, Z .
PHYSICS LETTERS B, 1995, 364 (02) :75-77
[2]   STATIC POTENTIAL IN QUANTUM CHROMODYNAMICS [J].
APPELQUIST, T ;
DINE, M ;
MUZINICH, IJ .
PHYSICS LETTERS B, 1977, 69 (02) :231-236
[3]   MORE ON AMBIGUITIES IN THE POLE MASS [J].
BENEKE, M .
PHYSICS LETTERS B, 1995, 344 (1-4) :341-347
[4]   Two-loop corrections to the leptonic decays of quarkonium [J].
Beneke, M ;
Signer, A ;
Smirnov, VA .
PHYSICAL REVIEW LETTERS, 1998, 80 (12) :2535-2538
[5]  
BENEKE M, IN PRESS NUCL PHYS B
[6]   Aspects of heavy-quark theory [J].
Bigi, I ;
Shifman, M ;
Uraltsev, N .
ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, 1997, 47 :591-661
[7]   PRODUCTION AND DECAY PROPERTIES OF ULTRA-HEAVY QUARKS [J].
BIGI, I ;
DOKSHITZER, Y ;
KHOZE, V ;
KUHN, J ;
ZERWAS, P .
PHYSICS LETTERS B, 1986, 181 (1-2) :157-163
[8]   POLE MASS OF THE HEAVY-QUARK - PERTURBATION-THEORY AND BEYOND [J].
BIGI, II ;
SHIFMAN, MA ;
URALTSEV, NG ;
VAINSHTEIN, AI .
PHYSICAL REVIEW D, 1994, 50 (03) :2234-2246
[9]   Two-loop QCD corrections to the heavy quark pair production cross section in e+e- annihilation near threshold [J].
Czarnecki, A ;
Melnikov, K .
PHYSICAL REVIEW LETTERS, 1998, 80 (12) :2531-2534
[10]   Non-Abelian dipole radiation and the heavy quark expansion [J].
Czarnecki, A ;
Melnikov, K ;
Uraltsev, N .
PHYSICAL REVIEW LETTERS, 1998, 80 (15) :3189-3192