scholarly journals Next to leading order calculation with dimensional regularization in Nambu–Jona-Lasinio model

2014 ◽  
Vol 29 (09) ◽  
pp. 1450048 ◽  
Author(s):  
T. Inagaki ◽  
D. Kimura ◽  
H. Kohyama
Keyword(s):  
Explicit Form ◽  
Dimensional Regularization ◽  
Leading Order ◽  
Gap Equation ◽  
Order Calculation

The Nambu–Jona-Lasinio model is investigated in the 1/Nc expansion with the dimensional regularization. At the four-dimensional limit, the meson propagators have simple forms in the leading order of the 1/Nc expansion. Thus, the next to leading order calculation reduces to an ordinary one loop calculation. Here we obtain an explicit form of the 1/Nc correction and numerically evaluate the Nc dependence for the gap equation.

scholarly journals D-TERM DYNAMICAL SUPERSYMMETRY BREAKING GENERATING SPLIT ${\mathcal N} = 2$ GAUGINO MASSES OF MIXED MAJORANA–DIRAC TYPE

2012 ◽  
Vol 27 (26) ◽  
pp. 1250159 ◽  
Author(s):  
H. ITOYAMA ◽  
NOBUHITO MARU
Keyword(s):  
Gauge Theory ◽  
Supersymmetry Breaking ◽  
Explicit Form ◽  
Tree Level ◽  
Leading Order ◽  
Gap Equation ◽  
Four Dimensions ◽  
Hartree Fock ◽  
Self Consistent ◽  
Chiral Superfields

Under a few mild assumptions, [Formula: see text] supersymmetry (SUSY) in four dimensions is shown to be spontaneously broken in a metastable vacuum in a self-consistent Hartree–Fock approximation of Bardeen–Cooper–Schrieffer/Nambu–Jona-Lasinio (BCS/NJL) type to the leading order, in the gauge theory specified by the gauge kinetic function and the superpotential of adjoint chiral superfields, in particular, that possess [Formula: see text] extended SUSY spontaneously broken to [Formula: see text] at tree level. We derive an explicit form of the gap equation, showing the existence of a nontrivial solution. The [Formula: see text] gauginos in the observable sector receive mixed Majorana–Dirac masses and are split due to both the nonvanishing 〈D0〉 and 〈F0〉 induced with 〈D0〉. It is argued that proper physical applications and assessment of the range of the validity of our framework are made possible by rendering the approximation into [Formula: see text] expansion.

Next-to-Next-to-Leading Order Calculation of Valence Quark Polarization in the Valon Model

2018 ◽  
Vol 58 (1) ◽  
pp. 157-166 ◽  
Author(s):  
F. Taghavi-Shahri ◽  
Z. Alizadeh Yazdi ◽  
S. Atashbar Tehrani
Keyword(s):  
Valence Quark ◽  
Leading Order ◽  
Order Calculation

INSTANTON-INDUCED CROSS-SECTION AT HIGH ENERGIES: LEADING ORDER AND BEYOND

1990 ◽  
Vol 05 (24) ◽  
pp. 1983-1991 ◽  
Author(s):  
S. YU. KHLEBNIKOV ◽  
V. A. RUBAKOV ◽  
P. G. TINYAKOV
Keyword(s):  
Total Cross Section ◽  
Explicit Form ◽  
Cross Section ◽  
High Energy ◽  
Electroweak Theory ◽  
Leading Order ◽  
Instanton Action ◽  
High Energies ◽  
High Energy Collisions ◽  
The One

We study the total cross-section of high energy collisions in the one-instanton sector of purely bosonic theories with instantons. We find that in the limit g2 → 0, E/E sph = fixed , the leading behavior of the total cross-section is σ lot ~ exp [1/g2(−2S0 + F(E/E sph ))], where S0 is the instanton action. In the electroweak theory at E/E sph ≪ 1, the function F(E/E sph ) is determined by the gauge boson part of the instanton configuration and its explicit form is found.

HIGH pT JET PRODUCTION IN pp COLLISIONS

1995 ◽  
Vol 10 (20n21) ◽  
pp. 3071-3085 ◽  
Author(s):  
K.J. ESKOLA ◽  
X.-N. WANG
Keyword(s):  
Cross Sections ◽  
Leading Order ◽  
Pp Collisions ◽  
Production Rates ◽  
Parton Distributions ◽  
Jet Production ◽  
Order Calculation ◽  
Jet Cross Sections

Production rates of large pT jets inpp collisions at RHIC and LHC energies are studied using the next-to-leading order calculation of S.D. Ellis, Z. Kunszt and D. Soper. The computed inclusive one-jet cross sections are compared against the CERN and Fermilab jet data from [Formula: see text] and pp collisions. The dependence of the results on the choice of parton distributions and renormalization/factorization scales is investigated.

scholarly journals REGULARIZATION PARAMETER INDEPENDENT ANALYSIS IN NAMBU–JONA-LASINIO MODEL

2013 ◽  
Vol 28 (31) ◽  
pp. 1350164 ◽  
Author(s):  
T. INAGAKI ◽  
D. KIMURA ◽  
H. KOHYAMA ◽  
A. KVINIKHIDZE
Keyword(s):  
Regularization Parameter ◽  
Dimensional Regularization ◽  
Low Energy ◽  
Leading Order ◽  
Regularization Scheme ◽  
Independent Analysis

Nambu–Jona-Lasinio model used to investigate low energy phenomena is nonrenormalizable, therefore the results depend on the regularization parameter in general. A possibility of the finite in four-dimensional limit and even the in regularization parameter (this is dimension in the dimensional regularization scheme) independent analysis is shown in the leading order of the 1/Nc expansion.

scholarly journals Next-to-leading order calculation for jets defined by a maximized jet function

2015 ◽  
Vol 91 (3) ◽  
Author(s):  
Tom Kaufmann ◽  
Asmita Mukherjee ◽  
Werner Vogelsang
Keyword(s):  
Leading Order ◽  
Order Calculation

scholarly journals Groomed jet mass as a direct probe of collinear parton dynamics

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Daniele Anderle ◽  
Mrinal Dasgupta ◽  
Basem Kamal El-Menoufi ◽  
Marco Guzzi ◽  
Jack Helliwell
Keyword(s):  
Mass Distribution ◽  
Leading Order ◽  
Order Calculation ◽  
Fixed Order ◽  
Collinear Limit

AbstractWe study the link between parton dynamics in the collinear limit and the logarithmically enhanced terms of the groomed jet mass distribution, for jets groomed with the modified mass-drop tagger (mMDT). While the leading-logarithmic (LL) result is linked to collinear evolution with leading-order splitting kernels, here we derive the NLL structure directly from triple-collinear splitting kernels. The calculation we present is a fixed-order calculation in the triple-collinear limit, independent of resummation ingredients and methods. It therefore constitutes a powerful cross-check of the NLL results previously derived using the SCET formalism and provides much of the insight needed for resummation within the traditional QCD approach.

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