Not performing ablution (wudu) after touching the private part with the back of the hand

It is narrated from Sayyiduna Abu Hurayrah (may Allah be pleased with him) that the Messenger of Allah (peace and blessings be upon him) said: "Whoever's hand touches his private part with no barrier between them, ablution for prayer is obligatory upon him."
(b) Yazid bin Abd al-Malik has been criticized. Imam Ahmad bin Hanbal (may Allah have mercy on him) was asked about Yazid bin Abd al-Malik al-Nawfali, and he said: He is a shaykh of the people of Madinah; there is no harm in him.
(c) The Shaykh said: This has a basis (asl) from Sayyiduna Abu Hurayrah (may Allah be pleased with him).

It is narrated from Sayyiduna Abu Hurayrah (may Allah be pleased with him): "Whoever's hand touches his private part, let him perform ablution." This narration is mawquf. It is also said that Jamil narrates it from Abu Wahb, and he from Sayyiduna Abu Hurayrah (may Allah be pleased with him).

It is narrated from Sayyiduna Abu Hurayrah (may Allah be pleased with him): "Whoever touches his private part, let him perform ablution; and whoever touches it over the clothing, there is no ablution upon him."

(a) Muhammad bin Abd al-Rahman bin Thawban (may Allah have mercy on him) said that the Messenger of Allah (peace and blessings be upon him) said: "When anyone's hand touches his private part, let him perform ablution."
(b) In another narration, Sayyiduna Jabir (may Allah be pleased with him) narrates it from the Prophet (peace and blessings be upon him).
(c) Imam al-Shafi'i (may Allah have mercy on him) said: I heard many of the huffaz (hadith masters) narrate it, but they did not mention Sayyiduna Jabir (may Allah be pleased with him).

Sayyiduna Talq bin Ali (may Allah be pleased with him) said: We came to the Prophet (peace and blessings be upon him) as a delegation; we gave him (peace and blessings be upon him) our pledge of allegiance and prayed with him (peace and blessings be upon him). A Bedouin man came and said: O Messenger of Allah (peace and blessings be upon him), what do you think about a man who touches his private part after performing ablution? He (peace and blessings be upon him) said: "It is only a part or a piece of his body." (b) The Shaykh said: Muhammad bin Jabir al-Yamami and Ayyub bin Utbah narrate it from Qays bin Talq, and both are da'if (weak).
Abu Bakr Ahmad bin Ishaq al-Sibghi said: Mulazim is open to question. Ikrimah bin Ammar narrated it from Qays as mursal; he is the best of those who narrated it from Qays, yet his reliability is disputed: Yahya bin Sa'id al-Qattan and Ahmad bin Hanbal criticized him, and al-Bukhari declared him very weak. As for Qays bin Talq, al-Shafi'i said: We asked about Qays and found no one who knew him in a way that would allow us to accept his report. Yahya bin Ma'in said: The hadith of Qays bin Talq is not used as proof. Abu Hatim and Abu Zur'ah said: Qays bin Talq is not one by whom proof is established; they deemed it weak and did not accept it as established.

Qays bin Talq narrates from his father, Sayyiduna Talq bin Ali (may Allah be pleased with him), that he said: I came to the Prophet (peace and blessings be upon him) while he was building the mosque, and he (peace and blessings be upon him) said: "Mix the clay, for you know best how to do this." I asked him (peace and blessings be upon him), or someone else asked: What is your (peace and blessings be upon him) view about a man who performs ablution and then touches his private part? He (peace and blessings be upon him) said: "It is only a part of your own body."
Then some of our companions interpreted it as touching it with the back of the hand.

Qays bin Talq narrates from his father, Sayyiduna Talq bin Ali (may Allah be pleased with him), that he asked the Prophet (peace and blessings be upon him), or someone else asked: I was praying, and meanwhile I began scratching my thigh, and my hand touched my private part. The Prophet (peace and blessings be upon him) said: "It is only a part of you." (b) The apparent state of one who scratches his thigh and whose hand touches his private part is that it touches it only with the back of the hand, and Allah knows best.

The muhaddith Raja' bin Murajja (may Allah have mercy on him) said: Ahmad bin Hanbal, Ali bin al-Madini, Yahya bin Ma'in (may Allah have mercy on them) and I gathered in Masjid al-Khayf, and a debate took place there about touching the private part (whether it requires ablution or not). Yahya bin Ma'in (may Allah have mercy on him) said: Ablution is required because of it. Ali bin al-Madini (may Allah have mercy on him) followed the view of the people of Kufah. The evidence of Ibn Ma'in (may Allah have mercy on him) was the hadith of Sayyidah Busrah bint Safwan (may Allah be pleased with her), and the evidence of Ali bin al-Madini (may Allah have mercy on him) was the narration of Qays bin Talq. He said to Yahya bin Ma'in (may Allah have mercy on him): How can you accept the chain of Busrah (may Allah be pleased with her) when Marwan bin al-Hakam sent a guard, who brought her answer back to Marwan? Yahya bin Ma'in (may Allah have mercy on him) said: Then Urwah was not satisfied with that until he came to Sayyidah Busrah (may Allah be pleased with her) and asked her, and she told him the hadith face to face. Then Yahya bin Ma'in (may Allah have mercy on him) said: People have spoken a great deal against Qays bin Talq, and his hadith is not accepted as evidence. Ahmad bin Hanbal (may Allah have mercy on him) said: Both matters are as you two have said.
Yahya said: It is narrated through Malik, from Nafi', from Sayyiduna Ibn Umar (may Allah be pleased with them both), that ablution is to be performed because of touching the private part. Ali bin al-Madini (may Allah have mercy on him) said that Ibn Mas'ud (may Allah be pleased with him) used to say: "There is no ablution because of it; it is only a part of your body." Yahya said: From whom is this narrated? He said: Through Sufyan, from Abu Qays, from Huzayl, from Sayyiduna Abdullah (may Allah be pleased with him); and when Ibn Mas'ud and Ibn Umar (may Allah be pleased with them) differ on a matter, Ibn Mas'ud (may Allah be pleased with him) is more entitled to be followed. Imam Ahmad bin Hanbal (may Allah have mercy on him) said to him: Yes, but the hadith of Abu Qays al-Awdi is not accepted as evidence. Ali bin al-Madini (may Allah have mercy on him) said: Abu Nu'aym narrated to me from Mis'ar, from Umayr bin Sa'id, from Sayyiduna Ammar (may Allah be pleased with him), that he said: "I do not care whether I touch it or my nose." Yahya said: Between Umayr bin Sa'id and Ammar bin Yasir there is a wide gap (i.e. the chain is broken).

Abdullah bin Yahya al-Qadi al-Sarakhsi (may Allah have mercy on him) narrated a report with the same meaning through this same chain. (b) Imam Ahmad (may Allah have mercy on him) said: For us, Sayyiduna Ammar (may Allah be pleased with him) and Ibn Umar (may Allah be pleased with them both) are both Companions of the Messenger; whoever wishes may accept the narration of Ammar (may Allah be pleased with him), and whoever wishes may act on the narration of Ibn Umar (may Allah be pleased with them both).
(c) The Shaykh said: Our companions narrate from Ali bin al-Madini (may Allah have mercy on him) that he said something about the hadith of Busrah (may Allah be pleased with her) and Urwah's (may Allah have mercy on him) hearing (from her), as Yahya bin Ma'in (may Allah have mercy on him) said; it is as if he followed Yahya bin Ma'in (may Allah have mercy on him) and acted on the hadith of Busrah (may Allah be pleased with her).

(a) Sufyan and Ibn Jurayj (may Allah have mercy on them both) met and debated touching the private part. Ibn Jurayj (may Allah have mercy on him) said: Ablution is to be performed because of it; and Sufyan (may Allah have mercy on him) said: Ablution is not to be performed. Sufyan (may Allah have mercy on him) said: Tell me, if a man holds semen in his hand, what is required of him?
Ibn Jurayj (may Allah have mercy on him) said: He should wash his hand. He asked: Which is greater, semen or touching the private part? Ibn Jurayj (may Allah have mercy on him) said: It is Satan who has put this into your heart.
(b) The Shaykh said: What Ibn Jurayj (may Allah have mercy on him) meant is that the Sunnah is not to be set against analogy.
(c) Imam al-Shafi'i (may Allah have mercy on him) mentioned in the narration of al-Za'farani that whoever among the Companions (may Allah be pleased with them) said there is no ablution in it said so from his own opinion, and whoever made ablution obligatory in it did so only by following (the Sunnah).

Abd al-Rahman bin Abi Layla (may Allah have mercy on him) said: We were with the Prophet (peace and blessings be upon him) when Sayyiduna al-Hasan (may Allah be pleased with him) came and began rolling about on him. He (peace and blessings be upon him) lifted up his shirt and kissed his little private part.
The chain of this report is not strong, and it does not state that he (peace and blessings be upon him) touched it with his hand and then prayed without performing ablution.