Reconstruction of heavy quark current correlators at O(αs3)

被引:97
|
作者
Kiyo, Y. [1 ]
Maier, A. [1 ]
Maierhoefer, P. [1 ]
Marquard, P. [1 ]
机构
[1] Univ Karlsruhe, KIT, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany
关键词
Perturbative calculations; Quantum chromodynamics; Heavy quarks; VACUUM POLARIZATION FUNCTION; PRODUCTION NEAR-THRESHOLD; MASS CORRECTIONS; O(ALPHA(2)(S)) CORRECTIONS; CROSS-SECTION; QCD; DECAY; ANNIHILATION; MOMENTS; SERIES;
D O I
10.1016/j.nuclphysb.2009.08.010
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We construct approximate formulas for the O(alpha(3)(s)) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark Current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on conformal mapping and the Pade approximation procedure and incorporates known expansions in the low energy, threshold and high energy regions. We use out results to estimate additional terms in these expansions. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:269 / 287
页数:19
相关论文
共 50 条
  • [1] Heavy quark current correlators to O(alpha(2)(s))
    Chetyrkin, KG
    Kuhn, JH
    Steinhauser, M
    NUCLEAR PHYSICS B, 1997, 505 (1-2) : 40 - 64
  • [2] Analytic reconstruction of heavy-quark two-point functions at O(αs3)
    Greynat, David
    Masjuan, Pere
    Peris, Santiago
    PHYSICAL REVIEW D, 2012, 85 (05):
  • [3] Heavy quark vacuum polarization function at O(αs2) and O(αs3)
    Hoang, Andre H.
    Mateu, Vicent
    Zebarjad, S. Mohammad
    NUCLEAR PHYSICS B, 2009, 813 (03) : 349 - 369
  • [4] The second physical moment of the heavy quark vector correlator at O(αs3)
    Maier, A.
    Maierhoefer, P.
    Marquard, P.
    PHYSICS LETTERS B, 2008, 669 (01) : 88 - 91
  • [5] Short-distance mass of a heavy quark at order αS3
    Chetyrkin, KG
    Steinhauser, M
    PHYSICAL REVIEW LETTERS, 1999, 83 (20) : 4001 - 4004
  • [6] Higher moments of heavy quark correlators in the low energy limit at O(αs2)
    Maier, A.
    Maierhoefer, P.
    Marquard, P.
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2008, 183 : 209 - 214
  • [7] Higher moments of heavy quark correlators in the low energy limit at O(αs2)
    Maier, A.
    Maierhoefer, P.
    Marquard, P.
    NUCLEAR PHYSICS B, 2008, 797 (1-2) : 218 - 242
  • [8] Heavy quark diffusion and lattice correlators
    Petreczky, P.
    Petrov, K.
    Teaney, D.
    Velytsky, A.
    NUCLEAR PHYSICS A, 2006, 774 : 765 - 768
  • [9] Heavy quark correlators above deconfinement
    Mocsy, Agnes
    NUCLEAR PHYSICS A, 2006, 774 : 885 - 888
  • [10] Heavy quark vacuum polarization:: first two moments of the O(αs3 nf2) contribution
    Chetyrkin, KG
    Kühn, JH
    Mastrolia, P
    Sturm, C
    EUROPEAN PHYSICAL JOURNAL C, 2005, 40 (03): : 361 - 366