scholarly journals Multiple Gluon Effects in $q+\bar{q}\rightarrow t+\bar{t}+X$ at FNAL Energies: Semi-Analytical Results

1997 ◽  
Vol 12 (32) ◽  
pp. 2425-2434 ◽  
Author(s):  
D. Delaney ◽  
S. Jadach ◽  
S. M. Kim ◽  
Ch. Shio ◽  
G. Siopsis ◽  
...  
Keyword(s):  
Structure Function ◽  
Cross Section ◽  
Analytical Methods ◽  
Exact Formula ◽  
Soft Gluon ◽  
Parton Level ◽  
Hadron Level ◽  
Analytical Results ◽  
Born Cross Section ◽  
Text Correction

We apply our Yennie–Frautschi–Suura exponentiated cross-section formulas for the parton process [Formula: see text] to the process [Formula: see text] at FNAL energies, where G is a QCD gluon. We use semi-analytical methods to compute the ratio [Formula: see text], where [Formula: see text] is our soft gluon YFS exponentiated cross-section and [Formula: see text] is the Born cross-section. For mt=0.176(0.199) TeV, we get r expt =1.65(1.48), respectively, for q=u for example. We show that these parton level results, when properly synthesized with the DGLAP structure function evolution, lead to the conclusion that the YFS exponentiated hadron level cross-section for [Formula: see text] is increased by ~0.6–0.8% beyond the Born cross-section due to the re-summation of soft gluon effects beyond those in the exact [Formula: see text] correction when mt=176 GeV. These results are not inconsistent with the recent observations by CDF and D0.

scholarly journals Supplemental Material: Syn-collisional magmatic record of Indian steep subduction by 50 Ma

2020 ◽  
Author(s):  
Yue Qi ◽  
QIANG WANG ◽  
et al.
Keyword(s):  
Cross Section ◽  
Analytical Methods ◽  
Southern Tibet ◽  
Analytical Results ◽  
Geological Cross Section

Analytical methods, field geological cross-section, and analytical results for the Lopu Range batholith from southern Tibet.

scholarly journals Supplemental Material: Syn-collisional magmatic record of Indian steep subduction by 50 Ma

2020 ◽  
Author(s):  
Yue Qi ◽  
QIANG WANG ◽  
et al.
Keyword(s):  
Cross Section ◽  
Analytical Methods ◽  
Southern Tibet ◽  
Analytical Results ◽  
Geological Cross Section

Analytical methods, field geological cross-section, and analytical results for the Lopu Range batholith from southern Tibet.

scholarly journals Forward dijets in proton-nucleus collisions at next-to-leading order: the real corrections

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Edmond Iancu ◽  
Yair Mulian
Keyword(s):  
Cross Section ◽  
Soft Gluon ◽  
Effective Theory ◽  
Dglap Evolution ◽  
Leading Order ◽  
Final State ◽  
Dijet Production ◽  
The Real ◽  
First Case ◽  
Subsequent Publication

Abstract Using the CGC effective theory together with the hybrid factorisation, we study forward dijet production in proton-nucleus collisions beyond leading order. In this paper, we compute the “real” next-to-leading order (NLO) corrections, i.e. the radiative corrections associated with a three-parton final state, out of which only two are being measured. To that aim, we start by revisiting our previous results for the three-parton cross-section presented in [1]. After some reshuffling of terms, we deduce new expressions for these results, which not only look considerably simpler, but are also physically more transparent. We also correct several errors in this process. The real NLO corrections to inclusive dijet production are then obtained by integrating out the kinematics of any of the three final partons. We explicitly work out the interesting limits where the unmeasured parton is either a soft gluon, or the product of a collinear splitting. We find the expected results in both limits: the B-JIMWLK evolution of the leading-order dijet cross-section in the first case (soft gluon) and, respectively, the DGLAP evolution of the initial and final states in the second case (collinear splitting). The “virtual” NLO corrections to dijet production will be presented in a subsequent publication.

scholarly journals Total cross section and rapidity gap survival probability at the LHC through an eikonal with soft gluon resummation

2008 ◽  
Vol 659 (1-2) ◽  
pp. 137-143 ◽  
Author(s):  
Andrea Achilli ◽  
Rohini M. Godbole ◽  
Agnes Grau ◽  
Rohit Hegde ◽  
Giulia Pancheri ◽  
...  
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Survival Probability ◽  
Soft Gluon ◽  
Rapidity Gap

scholarly journals Numerical simulation of minor losses coefficient on the example of elbows

2018 ◽  
Vol 180 ◽  
pp. 02093
Author(s):  
Smyk Emil ◽  
Mrozik Dariusz ◽  
Olszewski Łukasz ◽  
Peszyński Kazimierz
Keyword(s):  
Numerical Simulation ◽  
Numerical Methods ◽  
Numerical Method ◽  
Cross Section ◽  
Analytical Methods ◽  
Circular Cross Section ◽  
Experimental Methods ◽  
Loss Coefficient ◽  
Complicated Problem ◽  
Minor Losses

Determining of minor losses coefficient is very complicated problem. Analytical methods are often very difficult and experimental methods are very expensive and time-consuming. Consequently, the use of numerical methods seems to be a good solution, but there are no publications describing this issue. Therefore, the paper is describing the numerical method of determining the minor loss coefficient ξ on the example of elbows with circular cross-section.

scholarly journals Froissart bound and self-similarity based models of proton structure functions

2018 ◽  
Vol 33 (08) ◽  
pp. 1850046 ◽  
Author(s):  
D. K. Choudhury ◽  
Baishali Saikia
Keyword(s):  
Structure Function ◽  
Cross Section ◽  
Structure Functions ◽  
Proton Structure Function ◽  
Self Similarity ◽  
Proton Proton ◽  
Proton Structure

Froissart bound implies that the total proton–proton cross-section (or equivalently proton structure function) cannot rise faster than [Formula: see text]. Compatibility of such behavior with the notion of self-similarity in proton structure function was suggested by us sometime back. In the present work, we generalize and improve it further by considering more recent self-similarity based models of proton structure functions and compare with recent data as well as with the model of Block, Durand, Ha and McKay.

A measurement of the cross section for production of He + (2 S ) ions by electron impact excitation of ground state helium ions

1966 ◽  
Vol 290 (1420) ◽  
pp. 74-93 ◽  
Keyword(s):  
Plane Wave ◽  
Cross Section ◽  
Cross Sections ◽  
Absolute Magnitude ◽  
Impact Excitation ◽  
Electron Impact Excitation ◽  
Close Coupling ◽  
Born Cross Section ◽  
The Absolute ◽  
The Cross

A crossed beams method has been used to measure the cross section for the production of He + (2 S ) by electrons incident upon He + (1 S ) in the energy range from threshold to 750 eV. The cross section was measured in arbitrary units with an accuracy of ± 5 % and at the higher energies its energy dependence is in close agreement with that calculated by means of the plane-wave Born approximation. Consequently the cross section has been normalized to the plane-wave Born cross section at energies between 435 and 750 eV to obtain the absolute magnitude. An independent estimate of the absolute magnitude was made to with in ± 30 % using only the experimental parameters, and the absolute cross sections given by the two methods agree within the experimental uncertainties. The normalized cross section is compared with cross sections given by the close-coupling approximation and various Coulomb-Born approximations. At the lower energies the normalized cross section is considerably smaller than any of the theoretical values, but the measurements are consistent with the existence of a finite cross section at threshold if the energy spread of the electron beam is taken in to account.

Analytical Results on a Chaotic Piecewise-Linear O.D.E.

1984 ◽  
Vol 39 (4) ◽  
pp. 342-348
Author(s):  
B. Uehleke ◽  
O. E. Rössler
Keyword(s):  
Analytical Methods ◽  
Hormonal Regulation ◽  
Piecewise Linear ◽  
New Method ◽  
Analytical Results

A variant to the well known Danziger-Elmergreen equation of hormonal regulation is analyzed geometrically by analytical methods. The new method of Poincaré half maps is employed. Several chaotic regimes are found.

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