The EU Council has accused Russia of multiple breaches of international laws and agreements, and has helpfully enumerated them in its condemnation of its actions:
On 22 February 2022, the High Representative issued a declaration on
behalf of the Union condemning the decision of the President of the
Russian Federation to recognise the non-government controlled areas of
Donetsk and Luhansk oblasts of Ukraine as independent entities and the
ensuing decision to send Russian troops into those areas. That illegal
act further undermines Ukraine’s sovereignty and independence and is a
severe breach of international law and international agreements,
including the UN Charter, Helsinki Final Act, Paris Charter and
Budapest Memorandum, as well as of the Minsk Agreements and UN
Security Council Resolution 2202 (2015).
Taking these in turn:-
The UN Charter
Paragraph 4 of Article 2 of the UN Charter states the following:
All Members shall refrain in their international relations from the threat or use of force against the territorial integrity or political independence of any state, or in any other manner inconsistent with the Purposes of the United Nations.
The Helsinki Final Act 1975
You can more or less take your pick here - from Article I: Sovereign equality, respect for the rights inherent in sovereignty, Article II: Refraining from the threat or use of force, Article III: Inviolability of frontiers, Article IV: Territorial integrity of States, Article V: Peaceful settlement of disputes, and Article VI: Non-intervention in internal affairs, there seem to be good arguments that Russia has not abided by its commitments under this Act.
The Paris Charter 1990
The Paris Charter contains, amongst other relevant statements, the following declaration:
In accordance with our obligations under the Charter of the United Nations and commitments under the Helsinki Final Act, we renew our pledge to refrain from the threat or use of force against the territorial integrity or political independence of any State, or from acting in any other manner inconsistent with the principles or purposes of those documents. We recall that non-compliance with obligations under the Charter of the United Nations constitutes a violation of international law.
We reaffirm our commitment to settle disputes by peaceful means. We decide to develop mechanisms for the prevention and resolution of conflicts among the participating States.
Budapest Memorandum 1994
The first two articles of this agreement, signed in exchange for Ukraine giving up its nuclear weapons, state:
- The United States of America, the Russian Federation, and the United Kingdom of Great Britain and Northern Ireland, reaffirm their commitment to Ukraine, in accordance with the principles of the CSCE Final Act, to respect the Independence and Sovereignty and the existing borders of Ukraine.
- The United States of America, the Russian Federation, and the United Kingdom of Great Britain and Northern Ireland, reaffirm their obligation to refrain from the threat or use of force against the territorial integrity or political independence of Ukraine, and that none of their weapons will ever be used against Ukraine except in self-defense or otherwise in accordance with the Charter of the United Nations.
Minsk Agreements/Security Council Resolution 2202
As I discussed further in my answer here, recognition of the two separatist republics, DPR & LPR constituted a breach of point 9 of Minsk II. In the Security Council Resolution, President Putin reaffirmed his “full respect for the sovereignty and territorial integrity of Ukraine”.