Comparison of Analytical Solution of DGLAP Equations for F 2 NS ( x , t ) at Small x by Two Methods
The DGLAP equation for the nonsinglet structure function F 2...
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| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/829803 |
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| author | Neelakshi N. K. Borah D. K. Choudhury P. K. Sahariah |
| author_facet | Neelakshi N. K. Borah D. K. Choudhury P. K. Sahariah |
| author_sort | Neelakshi N. K. Borah |
| collection | DOAJ |
| description | The DGLAP equation for the nonsinglet structure function
F
2
N
S
(
x
,
t
)
at LO is solved analytically at low
x
by converting it into a partial differential equation in two variables: Bjorken
x
and
t
(
t
=
l
n
(
Q
2
/
Λ
2
)
and then solved by two methods: Lagrange’s auxiliary method and the method of characteristics. The two solutions are then compared with the available data on the structure function. The relative merits of the two solutions are discussed calculating the chi-square with the used data set. |
| format | Article |
| id | doaj-art-fac772adf2a4457092396b3bacc65ad2 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-fac772adf2a4457092396b3bacc65ad22025-02-03T01:20:22ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/829803829803Comparison of Analytical Solution of DGLAP Equations for F 2 NS ( x , t ) at Small x by Two MethodsNeelakshi N. K. Borah0D. K. Choudhury1P. K. Sahariah2Department of Physics, Gauhati University, Guwahati 781014, IndiaDepartment of Physics, Physics Academy of North East, Gauhati University, Guwahati 781014, IndiaDepartment of Physics, Cotton College, Guwahati 781001, IndiaThe DGLAP equation for the nonsinglet structure function F 2 N S ( x , t ) at LO is solved analytically at low x by converting it into a partial differential equation in two variables: Bjorken x and t ( t = l n ( Q 2 / Λ 2 ) and then solved by two methods: Lagrange’s auxiliary method and the method of characteristics. The two solutions are then compared with the available data on the structure function. The relative merits of the two solutions are discussed calculating the chi-square with the used data set.http://dx.doi.org/10.1155/2013/829803 |
| spellingShingle | Neelakshi N. K. Borah D. K. Choudhury P. K. Sahariah Comparison of Analytical Solution of DGLAP Equations for F 2 NS ( x , t ) at Small x by Two Methods Advances in High Energy Physics |
| title | Comparison of Analytical Solution of DGLAP Equations for
F
2
NS
(
x
,
t
)
at Small
x
by Two Methods |
| title_full | Comparison of Analytical Solution of DGLAP Equations for
F
2
NS
(
x
,
t
)
at Small
x
by Two Methods |
| title_fullStr | Comparison of Analytical Solution of DGLAP Equations for
F
2
NS
(
x
,
t
)
at Small
x
by Two Methods |
| title_full_unstemmed | Comparison of Analytical Solution of DGLAP Equations for
F
2
NS
(
x
,
t
)
at Small
x
by Two Methods |
| title_short | Comparison of Analytical Solution of DGLAP Equations for
F
2
NS
(
x
,
t
)
at Small
x
by Two Methods |
| title_sort | comparison of analytical solution of dglap equations for f 2 ns x t at small x by two methods |
| url | http://dx.doi.org/10.1155/2013/829803 |
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