scholarly journals Pion momentum distributions in the nucleon in chiral effective theory

2013 ◽  
Vol 87 (5) ◽  
Author(s):  
M. Burkardt ◽  
K. S. Hendricks ◽  
Chueng-Ryong Ji ◽  
W. Melnitchouk ◽  
A. W. Thomas
2011 ◽  
Vol 04 ◽  
pp. 106-114
Author(s):  
SONNY MANTRY ◽  
FRANK PETRIELLO

We present a factorization theorem for the low transverse momentum (pT) and rapidity (Y) distribution of the Higgs and electroweak gauge bosons using the Soft-Collinear Effective Theory. In the region M ≫ pT ≫ ΛQCD, where M denotes the mass of the electroweak object, the factorization formula is given in terms of perturbatively calculable functions and the standard PDFs. For pT ~ ΛQCD, the factorization theorem is given in terms of non-perturbative Impact-parameter Beam Functions (iBFs) and an Inverse Soft Function (iSF). The iBFs correspond to completely unintegrated PDFs and can be interesting probes of momentum distributions in the nucleon. The iBFs and the iSF are grouped together and written as a product of a gauge invariant and non-perturbative Transverse Momentum Function (TMF) with the standard PDFs. We present results of NLL resummation for the Higgs and Z-boson distributions and give a comparison with Tevatron data.


Open Physics ◽  
2004 ◽  
Vol 2 (3) ◽  
Author(s):  
Vladimir Neudatchin ◽  
Igor Obukhovsky ◽  
Ludmila Sviridova ◽  
Nikolai Yudin

AbstractThe pion momentum distributions (MDs) in four channels of virtual decay p→B+π, B = N, Δ, N 1/2-(1535), N 1/2+(1440) are calculated in two models, the microscopic model of 3 P 0 scalar q−q fluctuation with the pion as a composite q−q-system and the chiral semi-microscopic model of πq interaction with the pion as a structureless Goldstone boson. The results of the above models are similar for the baryon states B = N, Δ, N 1/2-(1535) but are rather different for the Roper resonance N 1/2+(1440) which corresponds to excitation of two oscillator quanta in the nucleon. The experimental investigation of pion MDs by means of the reaction of quasi-elastic knockout of pion by an electron of a few GeV energy p(e, e′ π)B may be very suitable for Jefferson Laboratory, Virginia (JLab).


1988 ◽  
Vol 03 (07) ◽  
pp. 1603-1614 ◽  
Author(s):  
S.Y. LO ◽  
A. SCHREIBER

We develop a description of single pion momentum distributions incorporating Bose-Einstein statistics and compare it to data at ISR and collider energies. Events of fixed multiplicity are described by a temperature which varies as a function of multiplicity. For high temperatures the model gives similar results to the recently introduced partition temperature model. while for low temperatures the possibility of pion condensation is explored.


Effective field theory (EFT) is a general method for describing quantum systems with multiple-length scales in a tractable fashion. It allows us to perform precise calculations in established models (such as the standard models of particle physics and cosmology), as well as to concisely parametrize possible effects from physics beyond the standard models. EFTs have become key tools in the theoretical analysis of particle physics experiments and cosmological observations, despite being absent from many textbooks. This volume aims to provide a comprehensive introduction to many of the EFTs in use today, and covers topics that include large-scale structure, WIMPs, dark matter, heavy quark effective theory, flavour physics, soft-collinear effective theory, and more.


2001 ◽  
Vol 692 (3-4) ◽  
pp. 521-545 ◽  
Author(s):  
Chi-Keung Chow ◽  
Thomas D. Cohen ◽  
Boris A. Gelman

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