scholarly journals Perturbative corrections to heavy quark-diquark symmetry predictions for doubly heavy baryon hyperfine splittings

2019 ◽  
Vol 100 (7) ◽  
Author(s):  
Thomas Mehen ◽  
Abhishek Mohapatra
Keyword(s):  
Heavy Quark ◽  
Heavy Baryon ◽  
Hyperfine Splittings ◽  
Perturbative Corrections

B-S EQUATION ANALYSIS OF HEAVY BARYON DECAYS

1996 ◽  
Vol 11 (18) ◽  
pp. 1523-1528 ◽  
Author(s):  
X.-H. GUO ◽  
T. MUTA
Keyword(s):  
Heavy Quark ◽  
Heavy Baryon ◽  
Equation Analysis ◽  
Heavy Quark Limit

As heavy baryon ΛQ (Q=b or c) consists of a heavy quark and a scalar light diquark, we establish the Bethe-Salpeter (B-S) equation for ΛQ in the heavy quark limit. With the reasonable kernel we solve the B-S equation numerically and calculate the Isgur-Wise function as Λb→Λc.

scholarly journals Perturbative corrections to a sum rule for the heavy quark kinetic energy

1997 ◽  
Vol 403 (3-4) ◽  
pp. 323-328 ◽  
Author(s):  
Hooman Davoudiasl ◽  
Adam K. Leibovich
Keyword(s):  
Kinetic Energy ◽  
Heavy Quark ◽  
Sum Rule ◽  
Perturbative Corrections

scholarly journals corrections to heavy baryon masses in the heavy quark effective theory sum rules

1996 ◽  
Vol 371 (1-2) ◽  
pp. 99-104 ◽  
Author(s):  
Yuan-ben Dai ◽  
Chao-shang Huang ◽  
Chun Liu ◽  
Cai-dian Lü
Keyword(s):  
Heavy Quark ◽  
Sum Rules ◽  
Heavy Baryon ◽  
Effective Theory ◽  
Heavy Quark Effective Theory

scholarly journals PERTURBATIVE CORRECTIONS TO THE SEMILEPTONIC b-DECAY MOMENTS: $E^\ell_{\rm cut}$ DEPENDENCE AND RUNNING-αs EFFECTS IN THE OPE APPROACH

2005 ◽  
Vol 20 (10) ◽  
pp. 2099-2117 ◽  
Author(s):  
NIKOLAI URALTSEV
Keyword(s):  
Heavy Quark ◽  
Structure Functions ◽  
Theoretical Uncertainty ◽  
Technical Tool ◽  
Momentum Scale ◽  
Scale Separation ◽  
Gluon Mass ◽  
Pole Type ◽  
Energy Moments ◽  
Perturbative Corrections

We have calculated the perturbative corrections to all the structure functions in the semileptonic decays of a heavy quark. Assuming an arbitrary gluon mass as a technical tool allowed to obtain in parallel all the BLM corrections. We report the basic applications, viz. perturbative corrections to the hadronic mass and energy moments with full dependence on the charge lepton energy cut. In the adopted scheme with the OPE momentum scale separation around 1 GeV the perturbative corrections to [Formula: see text] are small and practically independent of E cut ; the BLM corrections are small, too. The corrections to the second mass squared moment show some decrease with E cut consistent with the effect of the Darwin operator, within the previously estimated theoretical uncertainty. Perturbative corrections in the pole-type schemes appear significant and vary with Eℓ, decreasing the moments at higher cuts. The hardness of hadronic moments is quantitatively illustrated for different cuts on Eℓ.

scholarly journals Next-to-leading-order QCD corrections to heavy quark fragmentation into $${}^1S^{(1,8)}_0$$ quarkonia

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Feng Feng ◽  
Yu Jia ◽  
Wen-Long Sang
Keyword(s):  
Heavy Quark ◽  
Fragmentation Function ◽  
Short Distance ◽  
Decomposition Method ◽  
Heavy Quarkonium ◽  
Leading Order ◽  
Quark Fragmentation ◽  
Definition Of ◽  
Perturbative Corrections ◽  
Operator Definition

AbstractWithin NRQCD factorization framework, in this work we compute, at the lowest order in velocity expansion, the next-to-leading-order (NLO) perturbative corrections to the short-distance coefficients associated with heavy quark fragmentation into the $${}^1S_0^{(1,8)}$$ 1 S 0 ( 1 , 8 ) components of a heavy quarkonium. Starting from the Collins and Soper’s operator definition of the quark fragmentation function, we apply the sector decomposition method to facilitate the numerical manipulation. It is found that the NLO QCD corrections have a significant impact.

Hyperfine splittings in heavy-quark systems

1981 ◽  
Vol 24 (11) ◽  
pp. 3003-3006 ◽  
Author(s):  
W. Buchmüller ◽  
Yee Jack Ng ◽  
S. -H. H. Tye
Keyword(s):  
Heavy Quark ◽  
Hyperfine Splittings

scholarly journals HEAVY BARYONS IN THE QUARK-DIQUARK PICTURE

1998 ◽  
Vol 13 (07) ◽  
pp. 1091-1113 ◽  
Author(s):  
DIETMAR EBERT ◽  
THORSTEN FELDMANN ◽  
CHRISTIANE KETTNER ◽  
HUGO REINHARDT
Keyword(s):  
Heavy Quark ◽  
Faddeev Equation ◽  
Bound States ◽  
Heavy Baryon ◽  
Heavy Quarks ◽  
Mass Limit ◽  
Static Approximation ◽  
Heavy Baryons

We describe heavy baryons as bound states of a quark and a diquark. For this purpose we derive the Faddeev equation for baryons containing a single heavy quark from a Nambu–Jona–Lasinio type of model which is appropriately extended to include also heavy quarks. The latter are treated in the heavy mass limit. The heavy baryon Faddeev equation is then solved using a static approximation for the exchanged quark.

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